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On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210512
Elsa Dos Santos CardosoBihlo, Roman O. PopovychModern weather and climate prediction models are based on a system of nonlinear partial differential equations called the primitive equations. Lie symmetries of the primitive equations with zero external heating rate are computed and the structure of its maximal Lie invariance algebra, which is infinitedimensional, is studied. The maximal Lie invariance algebra for the case of a nonzero constant Coriolis

Fractionally integrated GaussMarkov processes and applications Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210427
Mario Abundo, Enrica PirozziWe investigate the stochastic processes obtained as the fractional RiemannLiouville integral of order α∈(0,1) of GaussMarkov processes. The general expressions of the mean, variance and covariance functions are given. Due to the central role, for the fractional integral of standard Brownian motion and of the nonstationary/stationary OrnsteinUhlenbeck processes, the covariance functions are carried

Eigenvalue problems and their perturbations for the weighted (p,q)Laplacian Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210511
Leszek Gasiński, Nikolaos S. PapageorgiouIn this paper first we consider eigenvalue problems for the weighted (p,q)Laplacian and prove the existence of a continuous spectrum and determine its infimum. Then we deal with perturbations of the eigenvalue problem. We consider the case of sublinear and superlinear perturbations.

Weak Formulations of Quasistatic Frictional Contact Problems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210511
Mircea Sofonea, Yibin XiaoWe consider a general mathematical model which describes the quasistatic contact of a deformable body with an obstacle, the socalled foundation. The material’s behaviour is modeled with a viscoelastictype constitutive law and the contact is described with a general interface law associated to a version of Coulomb’s law of dry friction. We list the assumptions on the data and provide relevant examples

A new class of differential nonlinear system involving parabolic variational and historydependent hemivariational inequalities arising in contact mechanics Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210511
Tao Chen, Nanjing Huang, Xuesong Li, Yunzhi ZouThis paper is devoted to study a new nonlinear system involving a parabolic variational inequality, a historydependent hemivariational inequality and a differential equation in Banach spaces. By employing the surjectivity argument and Banach’s fixed point theorem, we derive a unique solvability theorem for such a problem under some mild conditions. Moreover, the main results are applied to obtain

Predicting the effectiveness of chemotherapy using stochastic ODE models of tumor growth Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210511
Samara Sharpe, Hana M. DobrovolnyOrdinary differential equation (ODE) models of cancer growth are often used to predict tumor growth and form the basis for more complex models used in personalized medicine. Unfortunately, ODE models provide predictions of the average behaviour of the cell population neglecting the fact that cells are discrete objects subject to discrete events. This kind of stochasticity can dramatically change the

Duality of fractional systems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210427
Aleksander Stanislavsky, Aleksander WeronIn this paper we reveal a common property of generalized fractional equations used for the description of many physical systems related to nonexponential relaxation and anomalous diffusion. It follows from conjugate pairs of Bernstein functions being Laplace exponents of random processes that participate at subordination of simple processes such as ordinary exponential relaxation or Brownian motion

Stability and interaction of compactons in the sublinear KdV equation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210420
Dmitry E. Pelinovsky, Alexey V. Slunyaev, Anna V. Kokorina, Efim N. PelinovskyCompactons are studied in the framework of the Korteweg–de Vries (KdV) equation with the sublinear nonlinearity. Compactons represent localized bellshaped waves of either polarity which propagate to the same direction as waves of the linear KdV equation. Their amplitude and width are inverse proportional to their speed. The energetic stability of compactons with respect to symmetric compact perturbations

A finite volume method for numerical simulations of adiabatic shear bands formation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210424
R.V. Muratov, N.A. Kudryashov, P.N. RyabovThe aim of this paper is to develop an effective finite volume method for numerical simulation of the adiabatic shear bands (ASB) formation processes. A formation of ASB happens at highspeed shear strains of ductile materials. A numerical simulation of such problems using Lagrangian approach is associated with some problems, the main one of which is a mesh distortion at large deformations. We use

Aperiodically intermittent stabilization for complexvalued hybrid stochastic delayed systems: An average technique Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210419
Pengfei Wang, Shaoyu Li, Huan SuThis paper focuses on the stabilization problem of complexvalued hybrid stochastic delayed systems via aperiodically intermittent control (AIC). As for AIC in existing literature, strict conditions on the lower bound of control intervals and upper bound of control periods or the maximum proportion of rest intervals are required. In this paper, we relax these constraints by proposing average control

Branched manifolds for the three types of unimodal maps Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210508
Christophe LetellierBranched manifold is certainly the finest description of the structure of chaotic attractors, characterizing how the unstable periodic orbits are knotted. Many chaotic attractors produced by strongly dissipative systems were thus topologically described. In spite of this, the different possibilities for the branched manifolds which may be constructed from unimodal maps were never exhaustively listed

Inverse problems for nonlinear quasivariational hemivariational inequalities with application to obstacle problems of elliptic type Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210508
Zijia Peng, Zhonghui LiuIn this paper we study an inverse problem governed by a constrained nonlinear elliptic quasivariational hemivariational inequality. The inequality involves two nondifferentiable functions which directly depend on solutions. We solve the direct problem and obtain the properties of weak closedness and uniform boundedness of solutions, which develops some existing results in literature. Then, using a

Application of ESN prediction model based on compressed sensing in stock market Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210427
Hao Zhang, Mingwen Zheng, Yanping Zhang, Xiao Yu, Wenchao Li, Hui GaoEcho State Network (ESN) is often used for time series prediction and chaotic series prediction.But in the training process of ESN model, the reserve pool will involve a large number of calculations, so the reserve pool may have node redundancy, resulting in inaccurate training model. It is very important to select the active nodes in the reserve pool because the predicted nodes are very few compared

Extended State Observerbased Control of Heartbeat Described by Heterogeneous Coupled Oscillator Model Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210507
Niloofar Gharesi, Mohammad Mehdi Arefi, Alireza Khayatian, Zahra BahramiIn this paper, a novel framework to investigate the effect of external electrical signals on cardiac rhythm dynamics using the extended state observerbased control (ESOBC) is proposed. Heterogeneous coupled oscillator model (HCOM) is adopted for the generation of P, Ta, QRS, and T waves, and the realistic synthetic electrocardiogram (ECG) due to its capacity for simulating cardiac muscles response

Characterising stochastic fixed points and limit cycles for dynamical systems with additive noise Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210507
Saranya Biswas, Aasifa Rounak, Przemyslaw Perlikowski, Sayan GuptaThis study focuses on characterising numerically the attractor volume in the state space of dynamical systems excited by additive white noise. A definition for stochastic attractors is introduced in terms of probability measure and numerical methodologies are presented to characterise them. The study is limited to investigating the effects of additive noise on fixed point and limit cycle attractors

Onset of Chaos in NanoResonators Based on Strain Gradient Theory: Numerical Analysis Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210506
Ehsan Maani MiandoabIn recent years, experimental and theoretical studies have shown that size effect is nonnegligible in mechanical micro and nanostructures. As a result, classical continuum theory cannot model these structures. To accurately predict the behavior of micro and nanostructures, nonclassical continuum theories should be used. In this paper, the effect of size on the chaotic region of resonators is

Wave propagation of resonance multistripes, complexitons, and lump and its variety interaction solutions to the (2+1)dimensional pKP equation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210419
Dipankar Kumar, ChunKu Kuo, Gour Chandra Paul, Jui Saha, Israt JahanThis study deals with the (2+1)dimensional potential KadomtsevPetviashvili (pKP) equation, which is used to describe the dynamics of a wave of small but finite amplitude in two dimensions in diverse areas of physics and applied mathematics. Through symbolic computations with Maple, the resonance multistripe solutions in real fields, and multistripe complexiton solutions in complex fields are derived

Threshold dynamics of a stochastic model of intermittent androgen deprivation therapy for prostate cancer Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210420
Lin Chen, Jin Yang, Yuanshun Tan, Zijian Liu, Robert A. ChekeIntermittent androgen deprivation therapy is often used to treat prostate cancer, but there are few mathematical modelling studies of it. To explore the mechanisms of such therapy, we describe intermittent therapy with impulsive differential equations, then we propose a novel mathematical model of intermittent androgen deprivation therapy with white noise. We first studied the model’s basic properties

A new class of nonlinear superposition between lump waves and other waves for KadomtsevPetviashvili I equation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210504
Zhao Zhang, Qi Guo, Biao Li, Junchao ChenIn most cases, the lump wave will collide with line waves and breather waves in the hybrid solutions for (2+1)dimensional integrable systems. However, this study introduces a new constraint condition to construct a nonlinear superposition in which the lump wave does not collide with other waves forever. In particular, the soliton molecule consisting of a lump wave, a line wave and any number of breather

Understanding the urban mobility community by taxi travel trajectory Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210504
WeiPeng Nie, ZhiDan Zhao, ShiMin Cai, Tao ZhouWith the increase of urban population and the expansion of urban scale, understanding the urban structure could provide intellectual support for urban planning, traffic congestion, and even the spread of diseases. Little research has addressed the relationship between urban structure and human mobility. In this study, the community division method is applied to the itinerary network generated by taxi

Dynamics Analysis of a Filippov Pest Control Model with Time Delay Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210504
Ayman A. Arafa, Soliman A.A. Hamdallah, Sanyi Tang, Yong Xu, Gamal M. MahmoudThe most critical factor for increasing crop production is the successful resistance of pests and pathogens which has massive impacts on global food security. Therefore, Filippov systems have been used to model and grasp control strategies for limited resources in Integrated Pest Management (IPM). Extensive studies have been done on these systems where the evolution is governed by a smooth set of ordinary

Breather, multishock waves and localized excitation structure solutions to the Extended BKPBoussinesq equation. Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210504
HarunOr Roshid, N.F.M. Noor, Mst. Shekha Khatun, H.M. Baskonus, F.B.M. BelgacemThe extended BKPBoussinesq equation is considered to construct abundant breather waves, multishocks waves and localized excitation solutions. We first transform the original model to its bilinear form through a logarithmic transformation relation. Then, by setting a simple ansatz as a combinations of exponential and sinusoidal functions to obtain various breather waves solutions. We successfully

Comment on “Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation” by Nardjess Benoudina and et al. [CNSNS 2021, 94:105560] Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210504
M.A. AbdulwahhabPavlov equation, Conservation law, Multipliers, Divergence theorem, Lie symmetry method

An analysis of solutions to fractional neutral differential equations with delay Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210416
Hoang The Tuan, Ha Duc Thai, Roberto GarrappaThis paper discusses some properties of solutions to fractional neutral delay differential equations. By combining a new weighted norm, the Banach fixed point theorem and an elegant technique for extending solutions, results on existence, uniqueness, and growth rate of global solutions under a mild Lipschitz continuous condition of the vector field are first established. Be means of the Laplace transform

Analytically pricing volatility swaps and volatility options with discrete sampling: Nonlinear payoff volatility derivatives Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210416
Sanae Rujivan, Udomsak RakwongwanThis paper presents the first analytical pricing formulas for volatility swaps and volatility options with discrete sampling under the BlackScholes model with time varying riskfree interest rate. Despite numerous analytical works on the pricing of variance swaps with discrete sampling under different models of asset prices, an analytical pricing formula for volatility swaps as well as volatility

Some generalized isospectralnonisospectral integrable hierarchies Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210416
Huanhuan Lu, Yufeng ZhangIn this article, with the aid of the Lie algebra A1 composed of second order matrices and Lie algebra A2 composed of third order matrices, some new soliton hierarchies of evolution equations are deduced and the corresponding Hamiltonian structures are also worked out by utilizing the trace identity. Specially, one of the integrable soliton hierarchicy is reduced to the generalized Fokker–Plank equation

Flow map parameterization methods for invariant tori in Hamiltonian systems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210427
Alex Haro, J.M. MondeloThe goal of this paper is to present a methodology for the computation of invariant tori in Hamiltonian systems combining flow map methods, parameterization methods, and symplectic geometry. While flow map methods reduce the dimension of the tori to be computed by one (avoiding Poincaré maps), parameterization methods reduce the cost of a single step of the derived Newtonlike method to be proportional

A novel modeling of boundary value problems on the glucose graph Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210420
Dumitru Baleanu, Sina Etemad, Hakimeh Mohammadi, Shahram RezapourIn this article, with due attention to a new labeling method for vertices of arbitrary graphs, we investigate the existence results for a novel modeling of the fractional multiterm boundary value problems on each edge of the graph representation of the Glucose molecule. In this direction, we consider a graph with labeled vertices by 0 or 1 inspired by the molecular structure of the Glucose molecule

Modeling and Simulation for Coupled Crash Mechanics and Biomechanics of Aircraft Structures and Passengers Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210420
Goong Chen, Jing Yang, Alexey Sergeev, Mingwei Wang, Chunqiu Wei, Jean Yeh, Philip J. Morris, Noah J. Fournier, Yining Chen, Xingong Cheng, Donghui Yang, Shuhuang Xiang, Marlan O. ScullyThe DYCAST (Dynamic Crash Analysis of Structures) experiments that started at NASA Langley Research Center during the late 1970s have greatly influenced the methodology and thinking of aircraft crashworthiness and survivability studies, and was continued and refined at other aerospace establishments. Nevertheless, so far most of the existing work has emphasized the impact damage to the aircraft section

Geometric considerations of a good dictionary for Koopman analysis of dynamical systems: Cardinality, “primary eigenfunction,” and efficient representation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210327
Erik M. BolltRepresentation of a dynamical system in terms of simplifying modes is a central premise of reduced order modelling and a primary concern of the increasingly popular DMD (dynamic mode decomposition) empirical interpretation of Koopman operator analysis of complex systems. In the spirit of optimal approximation and reduced order modelling the goal of DMD methods and variants are to describe the dynamical

Bifurcations in a oneparameter family of LotkaVolterra 2D transformations Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210406
Laura Gardini, Wirot TikjhaA particular system of twodimensional LotkaVolterra maps, Ta:(x′,y′)=(x(a−x−y),xy), unfolding a map originally proposed by Sharkovsky for a=4, is considered. We show the routes to chaos leading to the dynamics of map T4. For map T4 we show that even if the stable set of the origin O includes a set dense in an invariant area, the only homoclinic points of O belong to the x−axis, as well as the cycles

Nonlinear modeling and control strategies for bone diseases based on TGFβ and Wnt factors Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210402
Ariel Camacho, Silvia JerezBone remodeling is regulated by numerous signaling pathways being transforming growth factorβ (TGFβ) and Wnt crucial for coupling bone formation and elimination activities. Bone diseases, such as osteoporosis and bone metastasis, develop when the bone cells crosstalk is corrupted which causes unbalanced bone mass production. In this work, we explore the effects of TGFβ and Wnt in bone dynamics based

Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)–dimensional Sawada–Kotera equation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210402
Yan Li, Ruoxia Yao, Yarong Xia, Senyue LouSoliton molecules may exist experimentally and theoretically. In this work, we generate some soliton molecules for (2 + 1)–dimensional Sawada–Kotera equation by multiple soliton solutions and a subtle velocity resonance ansatz excited by an observation of bound state behavior of solitons. Asymmetric solitons can be derived by selecting specific parameters of soliton molecules. On the basis of multiple

Dynamics of Lumpperiodic, breather and twowave solutions with the long wave in shallow water under gravity and 2D nonlinear lattice Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210402
Abdullahi Yusuf, Tukur Abdulkadir SulaimanA lump solution is a rational function solution which is real analytic and decays in all directions of space variables. The equation under consideration in this study is the (2 + 1)dimensional generalized fifthorder KdV equation which demonstrates long wave movements under the gravity field and in a twodimensional nonlinear lattice in shallow water. The collisions between lump and other analytic

A novel composite forecasting framework by adaptive data preprocessing and optimized nonlinear grey Bernoulli model for new energy vehicles sales Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210403
Song Ding, Ruojin Li, Shu WuTo accurately predict the time series having limited data with stochastic disturbances and nonlinearity, this paper proposed a composite forecasting model by adaptive data preprocessing and optimized nonlinear grey Bernoulli model. Specifically, improvements in the proposed model lie in the following aspects: firstly, the newinformationbased buffer operator is utilized to eliminate stochastic disturbance

A closedform solution for temperaturedependent elastoplastic problems using the Prandtl operator approach Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210326
Marko Nagode, Jernej Klemenc, Simon Oman, Domen ŠerugaFinite element simulations of the temperaturedependent stressstrain response in the elastoplastic region of a material usually involve incremental procedures based on the Newton–Raphson iterative scheme. Although essential to obtaining the correct result, iterations inherently extend the computational time of the simulations. In order to increase the computational effectiveness of such finite element

Environmentbased preference selection in spatial multigame with limited resource allocation and control Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210401
Chao Luo, Chengbin Sun, Bin LiuIn reality, environment has the considerable effect on the decision making of individuals. Meanwhile, individuals with different amount of resources could have distinct responses to environmental impacts. In this article, based on spatial multigame model, the mutual effect of environment and resources allocation on cooperation is studied. Firstly, the fitness of individuals in multigame is redefined

A new method to compute periodic orbits in general symplectic maps Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210326
R. Calleja, D. delCastilloNegrete, D. MartínezdelRío, A. OlveraThe search of highorder periodic orbits has been typically restricted to problems with symmetries that help to reduce the dimension of the search space. Wellknown examples include reversible maps with symmetry lines. The present work proposes a new method to compute highorder periodic orbits in twist maps without the use of symmetries. The method is a combination of the parameterization method in

Energy disruptive centrality with an application to criminal network Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210326
Ricardo Lopes de Andrade, Leandro Chaves Rêgo, Ticiana L. Coelho da Silva, José Antônio F. de Macêdo, Wellington C.P. SilvaMany social interactions can be modeled by networks, where social actors are represented by vertices and their relations by edges. Researchers, over the years, have used social network analysis (SNA) to study the topological structure of the network and understand relational patterns. More recently, scholars have included in the SNA the actors’ attributes in the search for a better understanding, given

NonDebye relaxations: Smeared time evolution, memory effects, and the Laplace exponents Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210326
K. Górska, A. Horzela, T.K. PogányThe nonDebye, i.e., nonexponential, behavior characterizes a large plethora of dielectric relaxation phenomena. Attempts to find their theoretical explanation are dominated either by considerations rooted in the stochastic processes methodology or by the socalled fractional dynamics based on equations involving fractional derivatives which mimic the nonlocal time evolution and as such may be interpreted

Application of timedelay multiscale symbolic phase compensated transfer entropy in analyzing cyclic alternating pattern (CAP) in sleeprelated pathological data Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210326
Danlei Gu, Yujia Mi, Aijing LinThis paper proposes a new method to quantify the strength and direction of the information flow, that is, Timedelay multiscale symbolic phase compensated transfer entropy (denoted as SPcTE(τ,s)). We integrate time delay factors and time scale factors into the study of transfer entropy and use compensated transfer entropy to estimate transfer entropy to effectively eliminate the influence of instantaneous

Necklace beams carrying fractional angular momentum in fractional systems with a saturable nonlinearity Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210327
Liangwei Dong, Dongshuai Liu, Wei Qi, Linxue Wang, Hui Zhou, Ping Peng, Changming HuangWe report the propagation dynamics of necklace beams in the framework of nonlinear fractional Schrödinger equation. The fractional diffraction can be partially compensated by a saturable nonlinearity and their combination leads to the quasistable propagation of necklace beams with integer or fractional angular momentum. The expansion of necklace can be slowed down remarkably by the decrease of Lévy

Pattern in nonlinearly coupled network of identical Thomas oscillators Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210315
Vinesh Vijayan, Biplab GanguliWe have investigated synchronized patterns in a network of Thomas oscillators coupled with sinusoidal nonlinear and linear couplings. Patterns like chimera and cluster states are not only observed for many nonlocally coupled oscillators, it is also observed for nearly local coupled network topology in the case of nonlinear coupling. As coupling radius increases, the critical coupling constant for complete

A new set and new relations of multiple soliton solutions of (2 + 1)dimensional Sawada–Kotera equation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210316
Ruoxia Yao, Yan Li, Senyue LouA new transformation v=4(lnf)xx that can formulate a quintic linear equation and a pair of Hirota’s bilinear equations for the (2 + 1)dimensional Sawada–Kotera (2DSK) Eq. (1) or u=4(lnf)x for 2DSK Eq. (2) is reported firstly, which enables one to obtain a new set of multiple soliton solutions of the 2DSK equation. They are not special cases of the known multiple solitons. The results presented in

Spiral wave chimeras in reactiondiffusion systems: Phenomenon, mechanism and transitions Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210320
BingWei Li, Yuan He, LingDong Li, Lei Yang, Xingang WangSpiral wave chimeras (SWCs), which combine the features of spiral waves and chimera states, are a new type of dynamical patterns emerged in spatiotemporal systems due to the spontaneous symmetry breaking of the system dynamics. In generating SWC, the conventional wisdom is that the dynamical elements should be coupled in a nonlocal fashion. For this reason, it is commonly believed that SWC is excluded

Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations. Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210326
Paul Castillo, Sergio GómezMass and energy conservative numerical methods are proposed for a general system of N strongly coupled nonlinear Schrödinger equations (NCNLS). Motivated by the structure preserving properties of composition methods, two basic conservative, first and second order time integrators, are developed as seed schemes for the derivation of high order conservative methods. To avoid solving a global nonlinear

Physical properties preserving numerical simulation of stochastic fractional nonlinear wave equation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210324
Yanjiao Zhou, Quanxiang Wang, Zhiyue ZhangIn this paper, we numerically solve a stochastic spacefractional nonlinear wave equation which includes fractional derivative, nonlinear term, damping term and noise term. The energy of system in the continuous case is derived in detail and discrete energy preserving physical characteristic is also proved. We propose a numerical method that uses CrankNicolson difference discretization based on secondorder

Statistical properties of the detrended multiple crosscorrelation coefficient Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210223
Fang Wang, Jian Xu, Qingju FanCrosscorrelations are ubiquitous in nonstationary multivariable systems. By using detrended crosscorrelation (DCCA) technique, recently a new multiple crosscorrelation coefficient DMC was proposed to quantity the correlation between multivariate and a target variable. We studied the statistical properties of DMC in detail. More specifically, we first proved that 0≤DMC≤1, and then deduced that the

Dynamics of a flexible multitethered satellite formation in a Halo orbit with uncertain parameters Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210320
Caoqun Luo, Hao Wen, Dongping Jin, Shidong XuThe nonlinear dynamics of a flexible rotating multitethered satellite formation in a Halo orbit with uncertainbutbounded parameters are examined in this paper via an interval analysis method. In Hill's problem, equations of motion for the focused system are derived with the flexibility and extensibility of tethers involved. Not limited to the system of concern, the developed dynamic model could

Describing NMR relaxation by effective phase diffusion equation Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210320
Guoxing LinThis paper proposes an effective diffusion equation method to analyze nuclear magnetic resonance (NMR) relaxation. NMR relaxation is a spin system recovery process, where the evolution of the spin system is affected by the random field due to Hamiltonians, such as dipolar couplings. The evolution of magnetization can be treated as a random walk in phase space described either by a normal or fractional

A nonlinear Xshaped structure based tuned mass damper with multivariable optimization (Xabsorber) Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210322
Jing Bian, Xingjian JingInstalling a tuned mass damper (TMD) is a promising vibration control method in many engineering applications which can suppress excessive vibration of a primary structure by transferring and dissipating vibration energy from the primary structure to the TMD. To overcome some limitations and drawbacks of traditional tuned mass dampers in practice, a bioinspired Xshaped structure/mechanism is utilized

A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210320
Haifeng Wang, Yufeng ZhangWe first introduce a Lie algebra g˜ which can be used to construct integrable couplings of some isospectral and nonisospectral problems. As two applications of the Lie algebra g˜, the MKdV spectral problem is enlarged to an isospectral problem and the AKNS spectral problem is expanded to a nonisopectral problem. Then, two integrable couplings are obtained by solving an isospectral and a nonisospectral

Estimate of the domain of attraction for interconnected systems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210318
Huijuan LiIn this paper, we estimate the domain of attraction of the origin of two interconnected nonlinear systems. For each subsystem we introduce an auxiliary system and assume that the origin is locally robustly asymptotically stable. Then an integral inputto state stable Lyapunov function for each subsystem on a bounded set is constructed via Zubov’s method and the introduced auxiliary system. A local

On possible applications of media described by fractionalorder models in electromagnetic cloaking Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210322
Tomasz P. StefańskiThe purpose of this paper is to open a scientific discussion on possible applications of media described by fractionalorder (FO) models (FOMs) in electromagnetic cloaking. A 2D cloak based on active sources and the surface equivalence theorem is simulated. It employs a medium described by FOM in communication with sources cancelling the scattered field. A perfect electromagnetic active cloak is thereby

Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reactiondiffusionadvection type with data on the position of a reaction front Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210318
D.V. Lukyanenko, A.A. Borzunov, M.A. ShishleninAn approach to solving coefficient inverse problems for nonlinear reactiondiffusionadvection equations is proposed. As an example, we consider an inverse problem of restoring a coefficient in a nonlinear Burgerstype equation. One of the features of the inverse problem is a use of additional information about the position of a reaction front. Another feature of the approach is a use of asymptotic

Numerical analysis for a new kind of obstacle problem Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210318
Xiaoliang Cheng, Qinghua Ran, Xilu Wang, Qichang XiaoIn this paper, we consider a new kind of obstacle problem for the elastic membrane. The obstacle is made of a rigid body covered by a soft layer that is deformable and allows penetration. It assigns a reactive normal pressure, which depends on the interpenetration of the membrane and the obstacle, during the contact process. Three equivalent descriptions of the new obstacle problem are derived, namely

Stability analysis of alternating wave solution in a StuartLandau system with time delay Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210314
Shu Zhang, Jian Xu, KwokWai ChungIn this paper, the profile and stability of alternating wave solution, which arises as a bifurcated periodic solution of equivariant Hopf bifurcation with amazing properties, are investigated for a StuartLandau system consisting of three oscillators. The method of multiple scales is used to compute the normal form equation up to fifth order. The Floquet theory is introduced because it is difficult

Convergence rates of harmonic balance method for periodic solution of smooth and nonsmooth systems Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210319
Li Wang, ZhongRong Lu, Jike LiuThis paper presents a systematic and rigorous analysis on the convergence rates of the Harmonic balance Method (HB) for general smooth and nonsmooth systems. In doing so, the convergence rates of Fourier truncation are established at first for functions with different smoothness, and then, the errors of HB are estimated with the help of a coercive condition and the established results on Fourier truncation

Influence of environmental pollution to a waterborne pathogen model: Global dynamics and asymptotic profiles Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210317
Wei Wang, Zhaosheng FengTo explore the influence of environmental pollution on the spread of waterborne diseases, we formulate a diffusive waterborne pathogen model with the distinct diffusion rates and spatial heterogeneity. We define the basic reproduction number R0 and show its threshold role: if R0<1, the diseasefree steady state is globally asymptotically stable; if R0>1, the model system is uniformly persistent. The

Numerical study on the response scenarios in a vibroimpact singledegreeoffreedom oscillator with two unilateral dissipative and deformable constraints Commun. Nonlinear Sci. Numer. Simul. (IF 4.115) Pub Date : 20210312
Giulia Stefani, Maurizio De Angelis, Ugo AndreausIn this paper, some of the scenarios that can occur in the numerical nonlinear nonsmooth response of a vibroimpact singledegreeoffreedom system, symmetrically constrained by deformable and dissipative bumpers, were identified and described. The different scenarios, obtained varying selected dimensionless parameters, were investigated identifying homogeneous frequency intervals, characterized by