A popular benchmark problem in the field of control is the cart-pendulum system. The system has only one control input for two degrees of freedom (2DOF), making it utterly underactuated. Its highly nonlinear structure makes it suitable for validating a variety of linear and nonlinear controllers. There are numerous applications, such as rocket propellers, tank missile launchers, self-balancing robots

Self-oscillation chaotic motion systems utilizing active materials hold promise for applications in diverse fields such as biomimetic mechanics and medical devices. However, there is currently insufficient exploration of chaotic motion systems. This paper proposes a novel self-oscillation chaotic motion system composed of a liquid crystal elastomer fiber and a mass ball under gradient-stabilized illumination

The influence of higher-order structures on network dynamic behaviors has gradually emerged as a significant focus in the field of network science. Among these behaviors, synchronization is a pivotal phenomenon. While existing studies primarily examine how higher-order structures affect synchronization types and thresholds, the dynamics of the synchronization process itself remain underexplored. In

Measurement and analysis of underwater acoustic signal (UAS), extensively applied in oceanic target identification and environmental monitoring, often confronts substantial noise in UAS, thereby posing significant challenge for subsequent signal processing task. For removing the noise in UAS, novel UAS denoising method based on combined optimization secondary decomposition is proposed. Firstly, improved

Obtaining an analytical representation of the solutions of nonlinear differential equations has been a challenge for many years. This difficulty is particularly pronounced when these equations model a physical phenomenon, which makes the exact solution even more difficult to find. In this paper, we present a global semi-analytical approach for deriving global rational approximants to Riccati equations

This paper introduces a novel class of controllable optical bottles (OBs), which are generated from chirped elliptical Airy Gaussian vortex beams (CEAGVBs), supported by both theoretical foundations and experimental validations. By jointly controlling the elliptical parameter and the chirp factor, OBs with various specifications can be designed. Changing the elliptical parameters profoundly affects

Ensuring the stability of Critical Infrastructure Systems (CIS) is paramount for modern societies. Represented as complex networks, these systems require robust disintegration strategies to identify critical vulnerabilities and prevent systemic failures. However, existing algorithms often oversimplify interactions, assume rarely observed fully connected higher-order structures, and overlook strong

The impact of other-regarding preferences (ORP) on the evolution of cooperation has attracted widespread attention in recent years. However, most of them assume that individuals have the same ORP intensity, there are few studies that consider the heterogeneity of ORP. In this paper, we investigate the effects of ORP on the cooperation evolution in a networked Prisoner’s Dilemma game. The research introduces

This article explores the idea of hyperbolic Ricci soliton. A hyperbolic Ricci soliton is a Riemannian manifold equipped with a smooth vector field X with real constants λ and μ fulfilling Ric+λLXg+12LX(LXg)=μg. Also, hyperbolic Ricci solitons provide a comparable solution to hyperbolic Ricci flow. Then, we continue to lay the foundation of hyperbolic Ricci soliton and give some geometric aspects of

To overcome the limitations of existing low-dimensional chaotic systems, particularly their vulnerability to degradation, this study introduces a novel family of discrete hyper-chaotic systems, designed using a one-dimensional quadratic map. The dynamic behavior of the systems is analysed using Lyapunov exponents and sample entropy to evaluate their complexity and robustness. The results demonstrate

In the past, anomalous phase synchronization was observed analytically and experimentally between two nonidentical chaotic oscillators. In this work, we consider a chain of mutually coupled three oscillators where heterogeneity (in terms of parameter mismatch) is introduced in the middle (relay) oscillator, and the outer two oscillators are identical. We observe an anomalous complete synchronization

The transient mixed convection analysis of heat and mass transport of Darcy Forchheimer nanofluid flow over a thermal vertical cone in combustion engine cylinder with gravity modulation, nonlinear solar radiations and buoyancy force effects is the objective present phenomenon. In the study of frequency and amplitude of heat transfer, the periodic gravity modulation is significant. The gravity modulation

This study investigates the time decay characteristics of the energy spectrum in homogeneous isotropic decaying turbulence using the GOY shell model and proposes novel LES and K-ε models based on these findings. The GOY shell model, which simplifies the Navier–Stokes equations in Fourier space, effectively captures nonlinear energy transfers between neighboring wavenumber bands and provides an efficient

This paper investigates fractal–fractional integral inequalities for generalized s-convex functions. We begin by establishing a fractal–fractional Hermite–Hadamard inequality for such functions. In addition, a novel identity is introduced, which serves as the basis for deriving some fractal–fractional Milne-type inequalities for functions whose first-order local fractional derivatives exhibit generalized

This article investigates the fault-tolerant bumpless transfer (FTBT) control for fuzzy switched memristive neural networks (FSMNNs) with mixed time-varying delays and false data injection (FDI) attacks. First, the persistent dwell-time switching (PDTS) law is adopted to relax the switching frequency limitations. Next, through PDTS law and Takagi–Sugeno (T-S) fuzzy theory, the novel FSMNNs are developed

In this paper, we consider the following Schrödinger–Choquard system in RN(−Δ)psu1+(V1(ɛx)−λ1)|u1|p−2u1=μ1[1|x|N−α∗F1(u1)]f1(u1)+βr1|u1|r1−2u1|u2|r2inRN,(−Δ)psu2+(V2(ɛx)−λ2)|u2|p−2u2=μ2[1|x|N−α∗F2(u2)]f2(u2)+βr2|u1|r1|u2|r2−2u2inRN,∫RN|u1|pdx=a1p,∫RN|u2|pdx=a2p,where (−Δ)ps is the fractional p-Laplacian operator, α∈(0,N), s∈(0,1), r1,r2>1, r1+r2∈(p,p+p2sN), ɛ>0 is a parameter, μi,ai>0(i=1,2) and β>0

Atrial fibrillation (AF) is a common cardiac arrhythmia associated with spiral wave Doppler instability. Current ablation strategies in clinical practice primarily aim to isolate wave propagation and prevent the formation and maintenance of re-entrant waves. In this study, we investigate the effects of targeted localized transient conduction blocks on controlling spiral wave Doppler instability in

While Liquid Neural Networks (LNN) are promising for modeling dynamic systems, there is no internal mechanism that quantifies the uncertainty of a prediction. This can produce overly confident outputs, especially when operating in noisy or uncertain environments. One potential issue that might be highlighted with LNNs is that their highly flexible connectivity leads to overfitting on the training data

Neurons release K+ into extracellular space during neural activity. Astrocytes absorb excess extracellular K+ through sodium‑potassium pumps (NKA), inwardly rectifying potassium (KIR4.1) channels and large-conductance Ca2+-activated K+ (BK) channels, to perform potassium buffering function and maintain K+ homeostasis. Experimental results have reported that the NKA and potassium channels of astrocytes

We analyze a class of Caputo–Katugampola fractional sweeping processes in a real Hilbert space, described by the inclusion −0cDtα,ρu(t)∈Nκ(t)(A(0cDtα,ρu(t))+Bu(t)).The study focuses on establishing the well-posedness of the problem, specifically proving the existence and uniqueness of solutions. These findings are then applied to a viscoelastic contact model described by Caputo–Katugampola fractional

Compared with traditional fluids, ternary nanofluids have been demonstrated to considerably increase the thermal conductance and thermal transfer properties of base fluids. Their benefits include cooling, thermal management, and other uses for effective heat transmission. This study considers the heating effect of the Prandtl fluid while analyzing the flow of ternary nanofluids over a Riga plate. The

Influence maximization (IM) is a prominent topic in the complex network analysis domain, and its goal is to identify the fewest nodes to achieve the maximum influence in a network. There are numerous IM methods that have emerged, among which community-based methods are potentially advantageous due to their ability to utilize community structure information and reduce time complexity through reduced

This study explores the high-dimensional multi-scale flow dynamics of a multiple-input and multiple-output configuration, the fluidic pinball, at Re=100. A data-driven classification approach is used to categorize flow dynamics into steady, periodic, and chaotic regimes by clustering. The key enabler is the parameterization of the control variables using three actuation parameters, simplifying the

This research aims to establish the sufficient conditions for the existence of the mild solution and approximate controllability for a class of Ψ-Caputo fractional neutral-type integro-differential stochastic inclusions with infinite delay in a separable Hilbert space. In the proposed stochastic control system, the Ψ-Caputo fractional derivative is considered, which has the flexibility to choose a

We consider a large class of variable exponents double phase differential inclusions with mixed boundary conditions in a bounded domain with Lipschitz boundary. The motivation behind studying this problem is that it may be used in modelling the antiplane shear problem of a long cylinder, made of an anisotropic nonlinear Hencky-type material, in contact with a rigid obstacle. We derive a variational

The C∞-structure-based method of integration of distributions of vector fields is used to classify all the traveling wave solutions of the modified Zakharov–Kuznetsov equation. This work unifies and generalizes the particular results obtained in the recent literature by using specific ansatz-based methods.

Photonic lattices with a saturable nonlinear response generally exhibit a second linear regime at high light intensities. Here, we perform a detailed numerical analysis of nonlinear continuations of the topological edge mode of a Su–Schrieffer–Heeger (SSH) chain, following the family of exact nonlinear stationary solutions through instabilities and bifurcations from the low-intensity to the high-intensity

This paper combines functionally graded materials (FGMs) with the cable-stayed beam to propose a cable-stayed functionally graded beam (CSFGB) model. The influences of temperatures on nonlinear behaviors of the model are analyzed when one-to-two internal resonance of the global mode (FGB) and the local mode (cable) is triggered. First, the governing equations, which consider thermal effects, are derived

Assumed that each site of the Bethe lattice (BL) is accompanied by three spin-1/2 atoms, then each site is allowed to interact with its nearest-neighbor (NN) sites of three, i.e., the coordination number of the BL. The exact recursion relations (ERR) are employed in obtaining the order parameters of the model. The three spins at each site interact via the intra-bilinear interaction parameter, while

The Statistical Complexity is a feature computed from a probability function that aims to quantify the structure of the system that produced the observations. It is the product between the normalized Shannon Entropy and the normalized Jensen–Shannon distance between the probability function and the uniform law. We obtain the Statistical Complexity asymptotic distribution under the Multinomial model

To analyze continuous-time dynamic systems, it is often necessary to discretize them. Traditionally, this has been accomplished using various variants of the Runge–Kutta (RK) method and other available discretization schemes. However, recent advancements have revealed that effective discretization can be achieved by considering the precision of the computer. In studying the stability of such continuous

To address the “explosive” propagation phenomenon in social networks, we propose a novel hypergraph propagation model that captures the higher-order interaction process between rumor and anti-rumor. By calculating the propagation threshold and analyzing the global stability of equilibrium points, our research indicates that the higher-order structure is a component of the propagation threshold, directly

The human social instinct makes people susceptible to social influences, notably the urge to conform. Conformity enables individuals to attain psychological balance, thereby facilitating the smooth functioning of society. Individuals can also adjust their behavioral strategies based on their personal experiences. Individuals who learn by reinforcement can acquire optimal behaviors through feedback

This paper focuses on the fusion filtering problem for a class of multi-sensor nonlinear rectangular descriptor systems with random transmission delays by considering the feedback fusion information. The random transmission delays are modeled by homogeneous Markov chains. For the feedback channel, a dynamic event-triggered mechanism is used to determine whether the information from the fusion center

This study introduces a comprehensive framework that situates information cascades within the domain of higher-order interactions, utilizing a double-threshold hypergraph model. We propose that individuals (nodes) gain awareness of information through each communication channel (hyperedge) once the number of information adopters surpasses a threshold ϕm. However, actual adoption of the information

Representing information as magnetic flux in superconducting circuits has enabled the development of fast and energy-efficient post-Moore digital circuits. Similar Josephson schemes have also been used to implement promising spiking neural networks. The primary limitation to the practical use of such devices is the relatively low integration density, mainly due to the presence of inductive elements

The interdependence between an individual strategy decision and the resulting change of environmental state is often a subtle process. Feedback-evolving games have been a prevalent framework for studying such feedback in well-mixed populations, yielding important insights into the coevolutionary dynamics. However, since real populations are usually structured, it is essential to explore how population

The level of systemic risk in economic and financial systems is strongly determined by the structure of the underlying networks of interdependent entities that can propagate shocks and stresses. Since changes in network structure imply changes in risk levels, it is important to identify structural transitions potentially leading to system-wide crises. Methods have been proposed to assess whether a

In this paper, a fractional-order discrete-time Hopfield neural network (HNN) with three neurons is studied, and discrete-time fractional-order local active memristor is used as the mutual synapses and electromagnetic radiation of HNN neurons respectively. Chaotic dynamic characteristics of the entire four-dimensional fractional discrete-time system are analyzed, including Li’s index, phase diagram

A nonlinear system, when subjected to external noise, can exhibit resonance peak characteristics in response to varying noise intensity, a phenomenon known as coherence resonance. Coherence resonance holds significant theoretical importance across fields such as energy harvesting, biology, and physics. In this work, we explore the phenomenon of acoustic coherence resonance in a nonlinear acoustic cavity

This article investigates the issue of finite-time stabilization for fractional-order switched nonlinear system (FOSNS) under the novel framework of mode-dependent event-triggered mechanism (MDETM). Initially, this study effectively addresses Zeno behavior (ZB) avoidance in FOSNS by the MDETM approach. This mechanism operates through the strategy of event-triggered impulsive control (ETIC) and the

In this paper, a class of constrained fractional optimization problems under a dynamic system involving the ψ-Caputo fractional derivative is introduced. A computational method based on the modified hat basis functions is developed to solve these problems. This work is done by obtaining a new operational matrix for the ψ-Riemann–Liouville fractional integral of the modified hat functions. The established

We consider the Kuramoto-type models for associative-memory networks and its applications in binary pattern retrieval and classification. In this model, the coupling function consists of a Hebbian term and a second-order Fourier term with nonnegative parameter. The theory of the stability/instability has been established in literature for the equilibria corresponding to binary patterns. In this short

Stochastic wave equations with multiplicative fractional Brownian motions (fBms) provide a competitive means to describe wave propagation process driven by inner fractional noise. However, regularity theory and approximate solutions of such equations is still an unsolved problem until now. In this paper, we achieve some progress on the regularity and strong convergence of numerical approximations for

This research highlights the Bödewadt boundary layer flow problem over a static permeable stretching disk uncovering the mass and heat transfer characteristics of tangent hyperbolic nanofluid (THNF) flow. The flow of a copper-water based THNF flow over a permeable stretching disk subject to Darcy-Forchheimer permeable model, activation energy and thermo-diffusion phenomena. The principal objective

This paper explores the pivotal role of the spectral filtering in pure-quartic soliton (PQS) and its dynamical phenomena in fiber lasers. By incorporating spectral filters, a strategy is introduced to enhance the performance of PQS fiber lasers to produce the transition from metastable PQS state into stable PQS states. Furthermore, by adjusting the negative fourth-order dispersion (FOD) of the cavity

The FitzHugh–Nagumo (FHN) model serves as a fundamental neuronal model which is extensively studied across various dynamical scenarios, we explore the dynamics of a scalar FHN oscillator under the influence of white noise. Unlike previous studies, in which extreme events (EE) were observed solely in coupled FHN oscillators, we demonstrate that a single system can exhibit EE induced by noise. Perturbation

This paper presents a novel predefined-time (PDT) event-triggered (ET) optimal bipartite consensus control scheme for multi-agent systems (MASs) with external disturbances. Firstly, an adaptive disturbance observer is designed to accurately estimate the external disturbances within a predefined time, and relax the condition that the upper bound of the disturbance derivative is known. Then, an ET-based

Complex systems ranging from technological and social systems are consist of fully or partially interdependent subsystems. The majority of catastrophic events occurred in these system always are triggered by minor events and in turn caused by cascading failure. Understanding the universality class of the resilience in interdependent networks during the process of cascading failure is therefore an essential

We examined the time series of Coronavirus Disease 19 (COVID-19) cases and deaths using the detrended fluctuation analysis method. Understanding the intricate dynamics of COVID-19 transmission is essential for developing effective strategies to mitigate the impact of this disease. Long-range correlations were investigated, which could provide valuable insights into the patterns and mechanisms of COVID-19