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Nontwist invariant circles in conformally symplectic systems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210108
Renato Calleja; Marta Canadell; Alex HaroDissipative mechanical systems on the torus with a friction that is proportional to the velocity are modeled by conformally symplectic maps on the annulus, which are maps that transport the symplectic form into a multiple of itself (with a conformal factor smaller than 1). It is important to understand the structure and the dynamics on the attractors. It is wellknown that, with the aid of parameters

Generalized Alikhanov’s approximation and numerical treatment of generalized fractional subdiffusion equations Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210119
Xuhao Li; Patricia J.Y. WongIn this paper, we develop a new approximation for the generalized fractional derivative, which is characterized by a scale function and a weight function. The new approximation is then used in the numerical treatment of a class of generalized fractional subdiffusion equations. The theoretical aspects of solvability, stability and convergence are established rigorously in maximum norm by discrete energy

A HyperBlock SelfConsistent Approach to Nonlinear Schrodinger Equations: Breeding, Metamorphosis, and Killing of Hofstadter Butterflies Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210119
M. Solaimani; S.M.A. AleomraninejadNonlinear Schrödinger equations play essential roles in different physics and engineering fields. In this paper, a hyperblock finitedifference selfconsistent method (HFDSCF) is employed to solve this stationary nonlinear eigenvalue equation and demonstrated its accuracy. By comparing the results with the Sinc selfconsistent (SSCF) method and the exact available results, we show that the HFDSCF

Local generalizations of the derivatives on the real line Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210119
Dimiter ProdanovFrom a physical perspective, derivatives can be viewed as mathematical idealizations of the linear growth as expressed by the Lipschitz condition. On the other hand, nonlinear local growth conditions have been also proposed in the literature. The manuscript investigates the general properties of the local generalizations of derivatives assuming the usual topology of the real line. The concept of a

Attractor as a convex combination of a set of attractors Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210118
MariusF. Danca; Michal Fĕckan; Nikolay Kuznetsov; Guanrong ChenThis paper presents an effective approach to constructing numerical attractors of a general class of continuous homogenous dynamical systems: decomposing an attractor as a convex combination of a set of other existing attractors. For this purpose, the convergent Parameter Switching (PS) numerical method is used to integrate the underlying dynamical system. The method is built on a convergent fixed

The effect of time ordering and concurrency in a mathematical model of chemoradiotherapy Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210108
Irina Bashkirtseva; Lev Ryashko; Álvaro G. López; Jesús M. Seoane; Miguel A.F. SanjuánWe study the effect of switching the order of administration of cytotoxic drugs and radiation in cancer therapy by comparing a sequential and a concurrent protocol of chemoradiation. For this purpose, we derive a nonlinear ordinary differential equation model based on wellaccepted knowledge of chemotherapy and radiotherapy for in vitro solid tumors. Using the bifurcation theory, we demonstrate that

Online Algorithm for Variance Components Estimation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210117
Xinggang Zhang; Xiaochun LuIn this study, we develop a new algorithm for online variance components estimation (OnlineVCE) of geodetic data based on the batch expectationmaximization (EM) algorithm and stochastic approximation theory. The OnlineVCE algorithm is then applied to the Kalman filter and leastsquares method and validated using simulated kinematic precise point positioning (PPP) based on the global navigation satellite

High Frequency Trading and Stock index Returns: A Nonlinear Dynamic Analysis Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210116
Aydin Cecen; Pawan Jain; Linlan XiaoThis study seeks to understand whether and to what extent High Frequency Trading (HFT) affects the probabilistic properties of the stock returns in five markets. More specifically, it focuses on the impact of HFT/Machine trading on five major stock indices, DAX, Nikkei 225, S&P 500, Russell 2000, and TOPIX. The empirical analysis demonstrates that while the introduction of machine trading and/or HFT

Introducing phase jump tracking  a fast method for eigenvalue evaluation of the direct ZakharovShabat problem Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210115
I.S. Chekhovskoy; S.B. Medvedev; I.A. Vaseva; E.V. Sedov; M.P. FedorukWe propose a new method for finding discrete eigenvalues for the direct ZakharovShabat problem, based on moving in the complex plane along the argument jumps of the function a(ζ), the localization of which does not require great accuracy. It allows to find all discrete eigenvalues taking into account their multiplicity faster than matrix methods and contour integrals. The method shows significant

On approximate solutions to the EulerPoisson system with boundary layers Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210115
ChangYeol Jung; Bongsuk Kwon; Masahiro SuzukiIn this article, we construct the approximate solutions to the EulerPoisson system in an annular domain, that arises in the study of dynamics of plasmas. Due to a small parameter (proportional to the square of the Debye length) multiplied to the Laplacian operator, together with unmatched boundary conditions, we find that the solutions exhibit sharp transition layers near the boundaries, which makes

Tuning the Total Displacement of Membranes Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210114
ChiuYen Kao; Seyyed Abbas MohammadiIn this paper we study a design problem to tune the robustness of a membrane by changing its vulnerability. Consider an energy functional corresponding to solutions of Poisson’s equation with Robin boundary conditions. The aim is to find functions in a rearrangement class such that their energies would be a given specific value. We prove that this design problem has a solution and also we propose a

A new autoreplication in systems of attractors with two and three merged basins of attraction via control Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210114
Emile F. Doungmo Goufo; Yasir KhanLargely recognized as leading concepts in network traffic prediction, machining or image processing, the processes of autoduplication, selforganization and autoreplication are highly useful and fascinating for chaos and fractal theorists. Those processes appear naturally around us as observed on trees, river deltas, lightning, growth spirals, flowers, romanesco broccoli, frost, etc. Using mathematical

Bounding the number of limit cycles for parametric Liénard systems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210114
Yifan Hu; Wei Niu; Bo HuangThis paper presents a systematical and algorithmic approach for determining the maximum number of limit cycles of parametric Liénard system that bifurcate from the period annulus of the corresponding Hamiltonian system. We provide an algebraic criterion for the Melnikov function of the considered system to have Chebyshev property. By using this criterion, we reduce the problem of analyzing the Chebyshev

A dissipationpreserving scheme to approximate radially symmetric solutions of the Higgs boson equation in the de Sitter spacetime Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210114
J.E. MacíasDíazIn this work, we investigate numerically Higgs’ boson equation in the de Sitter spacetime, which is an important (3+1)dimensional model arising in particle physics. Associated with this model, there exists a functional of energy which is dissipated with respect to time. Moreover, some relevant solutions of this model present radial symmetry in three spatial dimensions. In this work, we consider a

Quantifying model uncertainty for the observed nonGaussian data by the Hellinger distance Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210114
Yayun Zheng; Fang Yang; Jinqiao Duan; Jürgen KurthsMathematical models for complex systems under random fluctuations often certain uncertain parameters. However, quantifying model uncertainty for a stochastic differential equation with an αstable Lévy process is still lacking. Here, we propose an approach to infer all the uncertain nonGaussian parameters and other system parameters by minimizing the Hellinger distance over the parameter space. The

Analysis of static charge induced pullin of an electrostatic MEMS Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210106
Mithlesh Kumar; Banibrata Mukherjee; Siddhartha SenElectrostatic actuation of microstructures is largely affected by static charges, leading to its unpredictable behavior. Microstructures mainly accumulate static charges during fabrication, handling and operation. Moreover, microstructures are also actuated by chargevoltage combinations to improve its performance, i.e., increasing travel range. In this article, a distributed parameter model of microbeam

Numerical Study on Dispersion of Fine Settling Particles in a Depth Dominated Wetland Flow Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210113
S. Dhar; N. Poddar; R.R. Kairi; B.S. Mazumder; K.K. MondalWetlands were long considered a nuisance because they were not suitable for growth of many agriculture products. Nowadays, owing to it’s importance in agriculture engineering, wetlands are invaluable to the mankind. Wetlands due to their commanding influences on ecosystem, benefited people and the environment in terms of water supply, climate regulation, biodiversity conservation and contaminant erosion

Chaos synchronization in generalized Lorenz systems and an application to image encryption Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210113
Sungju Moon; JongJin Baik; Jaemyeong Mango SeoExamples of synchronization, pervasive throughout the natural world, are often aweinspiring because they tend to transcend our intuition. Synchronization in chaotic dynamical systems, of which the Lorenz system is a quintessential example, is even more surprising because the very defining features of chaos include sensitive dependence on initial conditions. It is worth pursuing, then, the question

The nonlinear relationship between randomness and scaling properties such as fractal dimensions and Hurst exponent in distributed signals Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201224
Franz Konstantin Fuss; Yehuda Weizman; Adin Ming TanFractaldimensions (D) and Hurstexponent (H) are often used for determining a randomness (RI) or predictability index in distributed signals, from the linear relationship of RI = 1–H = D–1, as H+D = 2. This paper investigates the similarities and differences of the results of different methods, when calculating D, H, and RI with the same dataset signals. 8 different methods were tested: Higuchi's

A novel Elastic Netbased NGBMC(1,n) model with multiobjective optimization for nonlinear time series forecasting Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210109
Lang Yu; Xin Ma; Wenqing Wu; Yong Wang; Bo ZengNonlinear grey Bernoulli multivariate model NGBMC (1, n) is known as a novel forecasting model for nonlinear time series with small samples. However, illposed problem would make it less efficient and even cause large errors. In order to improve its generality, a hybrid method combining Elastic Net and multiobjective optimization is introduced in this work. This method effectively solves the essential

A modified Mikhailov stability criterion for a class of discretetime noncommensurate fractionalorder systems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210108
Rafał Stanisławski; Krzysztof J. LatawiecThis paper introduces an extension of the Mikhailov stability criterion to a class of discretetime noncommensurate fractionalorder systems using the nabla fractionalorder GrünwaldLetnikov difference. The new stability analysis methods proposed in the paper are computationally simple and can be effectively used both for commensurate and noncommensurate fractionalorder systems. The main advantage

HighOrder Resonant Orbit Manifold Expansions For Mission Design In the Planar Circular Restricted 3Body Problem Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210106
Bhanu Kumar; Rodney L. Anderson; Rafael de la LlaveIn recent years, stable and unstable manifolds of invariant objects (such as libration points and periodic orbits) have been increasingly recognized as an efficient tool for designing transfer trajectories in space missions. However, most methods currently used in mission design rely on using eigenvectors of the linearized dynamics as local approximations of the manifolds. Since such approximations

Bounded solution structure of Schrödinger equation in the presence of the minimal length and its effect: bound states in the continuum are universal Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210106
Zhang Xiao; Yang Bo; Wei Chaozhen; Luo MaokangBound states in the continuum (BICs) are generally considered unusual phenomena. In this work, first, we provide a method to analyze the spatial structure of particle’s bound states in the presence of a minimal length, which can be used to find BICs; second, we provide a method to analyze the singular perturbation term’s effect of the Schrödinger equation, which can determine whether the BICs are readily

Infinitely Many Commuting Nonlocal Symmetries for Modified Martínez Alonso–Shabat Equation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210106
Hynek BaranWe study the modified Martínez Alonso–Shabat equationuyuxz+αuxuty−(uz+αut)uxy=0and present its recursion operator and an infinite commuting hierarchy of fullfledged nonlocal symmetries. To date such hierarchies were found only for very few integrable systems in more than three independent variables.

Time irreversibility and amplitude irreversibility measures for nonequilibrium processes Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201229
Wenpo Yao; Jun Wang; Matjaž Perc; Wenli Yao; Jiafei Dai; Daqing Guo; Dezhong YaoTime irreversibility, which characterizes nonequilibrium processes, can be measured based on the probabilistic differences between symmetric vectors. To simplify the quantification of time irreversibility, symmetric permutations instead of symmetric vectors have been employed in some studies. However, although effective in practical applications, this approach is conceptually incorrect. Time irreversibility

A computerassisted proof of the existence of Smale horseshoe for the foldedtowel map Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201225
Anna GierzkiewiczThe paper contains a rigorous proof of existence of symbolic dynamics chaos in the generalized Hénon map’s 4th iterate H4, which was conjectured in the paper A 3D Smale Horseshoe in a Hyperchaotic DiscreteTime System of Li and Yang, 2007. We prove also the uniform hyperbolicity of the invariant set with symbolic dynamics. The proofs are computerassisted with the use of C++ library CAPD for interval

Shortterm and spiketimingdependent plasticity facilitate the formation of modular neural networks Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201229
Ewandson L. Lameu; Fernando S. Borges; Kelly C. Iarosz; Paulo R. Protachevicz; Chris G. Antonopoulos; Elbert E.N. Macau; Antonio M. BatistaThe brain has the phenomenal ability to reorganise itself by forming new connections among neurons and by pruning others. The socalled neural or brain plasticity facilitates the modification of brain structure and function over different time scales. Plasticity might occur due to external stimuli received from the environment, during recovery from brain injury, or due to modifications within the body

Mapping recovery from sleep deprivation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201229
Sofia H. Piltz; Christina Athanasouli; Cecilia G. Diniz Behn; Victoria BoothSleep timing is based on the interactions between circadian and homeostatic processes. However, sleep deprivation perturbs the time of sleep onset, and the timing and duration of the following recovery sleep may differ from that of baseline sleep. Here we show that the responses to 0–24 h of sleep deprivation can be approximated by a onedimensional, discontinuous map computed from a physiologicallybased

Oscillatory behaviour analysis of a liquid rise in cylindrical capillaries Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201220
Łukasz Płociniczak; Mateusz ŚwitałaWe conduct a rigorous mathematical analysis of an oscillatory behaviour during the capillary flow. Our investigation concerns a nonlinear ODE modelling rise in a narrow vertical tube. This equation has been proposed by many authors as a generalization and improvement over the classical LucasWashburn model. The extension includes components related to a nonzero immersion length and to a discontinuous

Numerical modeling for strain rate effect and size effect of ice under uniaxial tension and compression Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201111
JianPing Zhang; Dong ZhouIn order to study the strain rate effect and size effect during the brittle failure process of ice under uniaxial tension and compression with numerical means, particlesubdomain method (PSM) is introduced. PSM is a continuumdiscontinuum coupled method with timedependent explicit algorithm of dynamic relaxation, which has combined the advantages of particleincell method, finite element method and

A computational weighted finite difference method for American and barrier options in subdiffusive Black–Scholes model Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201231
Grzegorz Krzyżanowski; Marcin MagdziarzSubdiffusion is a well established phenomenon in physics. In this paper we apply the subdiffusive dynamics to analyze financial markets. We focus on the financial aspect of time fractional diffusion model with moving boundary i.e. American and barrier option pricing in the subdiffusive Black–Scholes (B–S) model. Two computational methods for valuing American options in the considered model are proposed

Exploring critical points of energy landscapes: From lowdimensional examples to phase field crystal PDEs Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201231
P. Subramanian; I.G. Kevrekidis; P.G. KevrekidisIn the present work we explore the application of a few rootfinding methods to a series of prototypical examples. The methods we consider include: (a) the socalled continuoustime Nesterov (CTN) flow method; (b) a variant thereof referred to as the squaredoperator method (SOM); and (c) the joint action of each of the above two methods with the socalled deflation method. More “traditional” methods

Dynamical properties of generalized traveling waves of exactly solvable forced Burgers equations with variable coefficients Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201223
Şirin A. Büyükaşık; Aylin BozacıThe initial value problem for a generalized forced Burgers equation with variable coefficients Ut+(μ˙(t)/μ(t))U+UUx=(1/2μ(t))Uxx−a(t)Ux+b(t)(xU)x−ω2(t)x+f(t),x∈R,t>0, is solved using ColeHopf linearization and WeiNorman Lie algebraic approach for finding the evolution operator of the associated linear diffusion type equation. As a result, solution of the initial value problem is obtained in terms

On the necessary optimality conditions for the fractional Cucker–Smale optimal control problem Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201230
Ricardo Almeida; Rafał Kamocki; Agnieszka B. Malinowska; Tatiana OdzijewiczThis paper develops a sparse flocking control for the fractional Cucker–Smale multiagent model. The Caputo fractional derivative, in the equations describing the dynamics of a consensus parameter, makes it possible to take into account in the selforganization of group its history and memory dependency. External control is designed based on necessary conditions for a local solution to the appropriate

Nonlocal operator method for the CahnHilliard phase field model Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201230
Huilong Ren; Xiaoying Zhuang; NguyenThoi Trung; Timon RabczukIn this paper we propose a Nonlocal Operator Method (NOM) for the solution of the CahnHilliard (CH) equation exploiting the higher order continuity of the NOM. The method is derived based on the method of weighted residuals and implemented in 2D and 3D. Periodic boundary conditions and solidwall boundary conditions are considered. For these boundary conditions, the highest order in the NOM scheme

Bifurcation scenario of Turing patterns in preypredator model with nonlocal consumption in the prey dynamics Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201221
N. Mukherjee; V. VolpertA preypredator model with a sexual reproduction in prey population and nonlocal consumption of resources by prey in two spatial dimensions is considered. Patterns produced by the model without nonlocal terms and periodic boundary conditions are studied first. Then, Turing patterns induced by the nonlocal interaction (see Banerjee et al. (2018) [1]) in the two dimensional space are explored along with

Numerical analysis of multiterm timefractional nonlinear subdiffusion equations with time delay: What could possibly go wrong? Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201222
Mahmoud A. Zaky; Ahmed S. Hendy; Anatoly A. Alikhanov; Vladimir G. PimenovDue to the lack of a discrete fractional Grönwalltype inequality, the techniques of analyzing the L2−1σ difference schemes would not be correct to apply directly to the nonlinear multiterm fractional subdiffusion equations with time delay, especially when the maximum order of the fractional derivatives is not an integer. The purpose of this paper is twofold. First, we introduce a discrete form of

CAR T cells for Tcell leukemias: Insights from mathematical models Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201223
Víctor M. PérezGarcía; Odelaisy LeónTriana; María Rosa; Antonio PérezMartínezImmunotherapy has the potential to change the way all cancer types are treated and cured. Cancer immunotherapies use elements of the patient immune system to attack tumor cells. One of the most successful types of immunotherapy is CART cells. This treatment works by extracting patient’s Tcells and adding to them an antigen receptor allowing tumor cells to be recognized and targeted. These new cells

Selforganization in the onedimensional Landau–Lifshitz–Gilbert–Slonczewski equation with nonuniform anisotropy fields Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201229
Mónica A. GarcíaÑustes; Fernando R. Humire; Alejandro O. LeonIn magnetic films driven by spinpolarized currents, the perpendiculartoplane anisotropy is equivalent to breaking the time translation symmetry, i.e., to a parametric pumping. In this work, we numerically study those currentdriven magnets via the Landau–Lifshitz–Gilbert–Slonczewski equation in one spatial dimension. We consider a spacedependent anisotropy field in the parametriclike regime. The

Nonhomogeneous boundary value problems for some KdVtype equations on a finite interval: A numerical approach Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201228
Juan Carlos Muñoz GrajalesThis paper addresses the approximation of solutions to some nonhomogeneous boundary value problems associated with the nonlinear Kortewegde Vries equation (KdV) and a system of two coupled KdVtype equations derived by Gear and Grimshaw posed on a bounded interval. An efficient Galerkin scheme that combines a finite element strategy for space discretization with a secondorder implicit scheme for

Corrigendum to the paper: A way to model stochastic perturbations in population dynamics models with bounded realizations. Commun Nonlinear Sci Numer Simulat, 77 (2019), 239–257 Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201223
Tomás Caraballo; Renato Colucci; Javier LópezdelaCruz; Alain RapaportIn this corrigendum we correct an error in our paper [T. Caraballo, R. Colucci, J. LópezdelaCruz and A. Rapaport. A way to model stochastic perturbations in population dynamics models with bounded realizations, Commun Nonlinear Sci Numer Simulat, 77(2019) 239–257]. We present a correct way to model real noisy perturbations by considering a slightly different stochastic process based, as in the original

Fractional RLC circuit in transient and steady state regimes Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201226
Kristian Haška; Dušan Zorica; Stevan M. CvetićaninAssuming accumulated charge being dependent on capacitor voltage memory as well as by expressing magnetic flux in inductor in terms of current memory, generalized capacitor and inductor are constitutively modeled by the sum of terms containing instantaneous and power type hereditary contributions. Constitutive models are further used in analyzing transient and steady state responses of series RLC circuit

Characterization and classification of intracardiac atrial fibrillation signals using the timesingularity multifractal spectrum distribution Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201226
Robert D. UrdaBenitez; Andrés E. CastroOspina; Andrés OrozcoDuqueThe analysis of intracardiac signals, or electrograms (EGM), is one of the most promising tools to guide catheter ablation of atrial fibrillation and improve the success of this procedure. Given the nonlinear nature of EGM signals, several studies have conducted fractal and multifractal analyses to extract nonlinear features related with critical activity. However, the fractal exponent or the multifractal

Nearly Symmetric Orthogonal Wavelets for TimeFrequencyShape Joint Analysis: Introducing the Discrete Shapelet Transform’s Third Generation (DSTIII) for Nonlinear Signal Analysis Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201226
Rodrigo Capobianco GuidoThis article introduces the third generation of an interesting tool created for timefrequencyshape (TFS) joint analysis. Called Discrete Shapelet Transform (DSTIII), it improves both its predecessors, i.e., DSTI and DSTII, in such a way that nearly symmetric major shapelet functions, and consequently almost linearphase filterbanks, are obtained. Following a brief review on important concepts

Equilibrium models with heterogeneous agents under rational expectations and its numerical solution Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201226
Jonatan Ráfales; Carlos VázquezIn this work we assume rational expectations to pose general equilibrium models with heterogeneous firms that can enter or exit the industry. More precisely, we assume a general Ito process for the dynamics of the agents productivity, including the main dynamics in the literature. A HamiltonJacobiBellman (HJB) formulation models the endogenous decision of firms to remain or exit the industry. All

Designing continuous delay feedback control for lattice hydrodynamic model under cyberattacks and connected vehicle environment Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201215
Cong Zhai; Weitiao WuThe rapid adoption of sensors has improved the communication capacity of vehicles, while connected vehicles are expected to become commercially available in the near future. In a connected vehicle environment, the dynamic continuous kinetic information on roadway could be readily available through sensors and internet of vehicular technologies. Nevertheless, in practice the vehicular networks may suffer

Chimeras in multivariable coupled Rössler oscillators Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201215
Anjuman Ara Khatun; Haider Hasan JafriWe study the coexistence of synchronous as well as asynchronous dynamical behaviours namely chimera states in an ensemble of nonlinear oscillators coupled through different variables. In this system, such states are a result of multistability induced by the coupling in one variable. By tuning the coupling parameter in a different variable, the region of multistability can be shifted. This provides

Enhanced vibration isolation performance of quasizerostiffness isolator by introducing tunable nonlinear inerter Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201216
Chaoran Liu; Kaiping Yu; Baopeng Liao; Rongping HuThe concept of quasizerostiffness (QZS) vibration isolator was proposed inrecent decades aiming at improving the lowfrequency isolation performance in a passive manner. However, large excitation and small damping usually cause the transmissibility curve to bend seriously to the right, which greatly reduces the effective isolation region. This paper focuses on enhancing the QZS isolator by introducing

Bifurcation of limit cycles near heteroclinic loops in nearHamiltonian systems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201215
Wei Geng; Yun TianIn this paper, we study the bifurcation of limit cycles near a heterocilinc loop with hyperbolic saddles in a perturbed planar Hamiltonian system. We present a method for computing the coefficients in the corresponding expansion of the first order Melnikov function. With more those coefficients, more limit cycles could be determined around the heteroclinic loop. An example of studying limit cycles

Mathematical modeling and simulation of nonlinear spacecraft rendezvous and formation flying problems via averaging method Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201215
Ayansola D. Ogundele; Olufemi A. Agboola; Subhash C. SinhaThe relative orbital motion problem of a deputy spacecraft with respect to a chief spacecraft is, generally, described using a set of differential equations governing the motion of the spacecraft relative to each other instead of describing their motion, separately, relative to the Earth. In this paper, new timevarying, time periodic cubic approximation model of spacecraft relative motion is developed

Generalization of KramersKrönig relations for evaluation of causality in powerlaw media Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201211
Jacek Gulgowski; Tomasz P. StefańskiClassical KramersKrönig (K–K) relations connect real and imaginary parts of the frequencydomain response of a system. The K–K relations also hold between the logarithm of modulus and the argument of the response, e.g. between the attenuation and the phase shift of a solution to a wavepropagation problem. For squareintegrable functions of frequency, the satisfaction of classical K–K relations implies

On Filippov solutions of discontinuous DAEs of index 1 Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201207
L. Dieci; C. Elia; L. LopezWe study discontinuous differentialalgebraic equations (DDAEs) with a codimension 1 discontinuity manifold Σ. Our main objectives are to give sufficient conditions that allow to extend the DAE along Σ and, when this is possible, to define sliding motion (the sliding DAE) on Σ, extending Filippov construction to this DAE case. Our approach is to consider discontinuous ODEs associated to the DDAE and

Nonlinear modeling and vibration mitigation of combined vortexinduced and base vibrations through energy harvesting absorbers Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201208
I. McNeil; A. AbdelkefiThis study derives a nonlinear reducedorder model in order to evaluate the efficacy of an energy harvesting absorber at controlling base excitations, vortexinduced vibrations, and simultaneous base excitations and vortexinduced vibrations. Vibration absorbers are secondary systems that couple with a primary structure to dissipate the mechanical energy of vibrations. An energy harvesting absorber

Transitionbased complexityentropy causality diagram: A novel method to characterize complex systems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201210
Boyi Zhang; Pengjian Shang; Jinzhao LiuComplexityentropy causality plane (CECP) and ordinal transition network (OTN) are both crucial tools to reveal the characteristics of time series and distinguish complex systems. However, when the parameters of the system to be distinguished have a wide range of values, the distinguishing function of CECP is weakened. Therefore, we propose a new measure called transition Fisher information (TFI) based

Radial waves in fiberreinforced axially symmetric hyperelastic media Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201207
Alexei Cheviakov; Caylin Lee; Rehana NazComplex elastic media such as biological membranes, in particular, blood vessels, may be described as fiberreinforced solids in the framework of nonlinear hyperelasticity. Finite axially symmetric antiplane shear displacements in such solids are considered. A general nonlinear wave equation governing such motions is derived. It is shown that in the case of MooneyRivlin materials with standard quadratic

Rigidflexible coupling effect on attitude dynamics of electric solar wind sail Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201213
Chonggang Du; Zheng H. Zhu; Gangqiang LiThis paper investigates the modelling of rigidflexible coupling effect on the attitude dynamics and spin control of an electric solar wind sail (Esail) by developing a rigidflexible coupling dynamic model. The model considers the attitude dynamics of the central spacecraft, the elastic deformation of the tethers and the rigidflexible coupling between the spacecraft and the tether. The attitude

Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201128
SiJia Chen; Xing Lü; XianFeng TangA generalized Burgers equation with variable coefficients is introduced based on the (2+1)dimensional Burgers equation. Using the test function method combined with the bilinear form, we obtain the lump solutions to the generalized Burgers equation with variable coefficients. The amplitude and velocity of the extremum point are derived to analyze the propagation of the lump wave. Moreover, we derive

A generalized fractionalorder Chebyshev wavelet method for twodimensional distributedorder fractional differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201112
Quan H. Do; Hoa T.B. Ngo; Mohsen RazzaghiWe provide a new effective method for the twodimensional distributedorder fractional differential equations (DOFDEs). The technique is based on fractionalorder Chebyshev wavelets. An exact formula involving regularized beta functions for determining the RiemannLiouville fractional integral operator of these wavelets is given. The given wavelets and this formula are utilized to find the solutions

Multidimensional scaling analysis of generalized mean discretetime fractional order controllers Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201205
António M. Lopes; J.A. Tenreiro MachadoThe dynamics of discretetime fractional order control systems depends on the method used for implementing the fractional derivatives and integrals. A reliable numerical approach adopts the generalized mean of the continuous to discrete conversion. The extra freedom provided by the proposed method must be carefully optimized by the user. This paper investigates the use of multidimensional scaling for

Global stability and periodicity in a glucoseinsulin regulation model with a single delay Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20201207
Maia Angelova; Gleb Beliakov; Anatoli Ivanov; Sergiy ShelyagA twodimensional system of differential equations with delay modelling the glucoseinsulin interaction processes in the human body is considered. Sufficient conditions are derived for the unique positive equilibrium in the system to be globally asymptotically stable. They are given in terms of the global attractivity of the fixed point in a limiting interval map. The existence of slowly oscillating