Achieving effective vibration isolation across a broad frequency range while simultaneously harvesting energy from vibrations remains a key challenge in engineering systems. This study examines the nonlinear dynamics and vibration isolation performance of an oblique-type spring quasi-zero stiffness (QZS) isolator integrated with a piezoelectric energy harvester. The coupled system is modeled as a strongly

The evolutionary dynamics of cooperation in threshold-dependent public goods provision remains poorly understood in systems with higher-order interactions. To address the gap, we introduce an evolutionary hypergraph-based threshold public goods game, where collective contributions within a group (hyperedge) must exceed a threshold value ϕ to generate shared benefits. Our results reveal that, in uniform

The chaos is a complex phenomenon that appears random but actually possesses inherent patterns. The study of chaos is significant for understanding many complex phenomena in nature. This paper aims to explore the threshold curves of the chaos phenomenon by analyzing the homoclinic orbits and global dynamics of the doubly-excited Duffing–van der Pol system using the homotopy analysis method and Melnikov

With the promotion of policies and technological progress, accelerate the advancement of Internet of Vehicles (IOVs) and refine it considerably, and then the real-time communication of vehicle-vehicle, vehicle-infrastructure and vehicle cloud will be realized, which will provide more abundant data for connected vehicles (CVs); however, the large-scale popularization of the vehicle was a drawn-out procedure

To enhance the robustness of SD oscillator system, an electromagnet with state feedback control is introduced above the oscillator, considering the nonlinear characteristics of the electromagnetic force. Initially, the system's steady-state amplitude-frequency response, phase-frequency response, and backbone curve are determined using the averaging method. These results are compared with the traditional

We propose a collective motion model incorporating selective interactions through a Motion Salience Threshold (MST) mechanism, where particles dynamically switch between an active state responding to significant motion cues and an inactive state aligning with local average orientation. This selective interaction mechanism enables particles to filter out minor fluctuations while maintaining sensitivity

Turbulence and oscillating amplitude of boundary layers and nonlinear radiative heat and concentration motion of transient Williamson nanomaterial model alongside inclined solar surface with entropy optimization, magnetic oscillation, dynamic solar energy, and thermo diffusion is the novelty of this work. The objective of this problem is to scrutinize the speed streamlines, isothermal lines, energy/temperature

The experimental assessment of networks within a complex system requires the inference of links. A common way to detect a link relies on the assumption that time series recorded out of two nodes contain sufficient shared information so as to detect a correlation, using either linear measures or more sensitive information-theoretical tools. While this assumption is theoretically granted for any system

Continuous firing patterns in biological neurons result from time-varying electromagnetic field accompanied by energy exchange between magnetic field and electric field in the cell, which the intracellular ions are diffused and membrane channels are open for ions propagation across the outer and inner cell membranes. Incorporation of memristive terms of the neuron models can describe the effect of

Optimizing energy transport and enhancing its efficiency in electro-thermal systems is of significant importance for advanced thermal management and energy sustainability. The present study focuses on the analysis of time-dependent electrically conducting disks enduring convective heat and comprising a permeable medium with Alumina and Graphene oxide immersed in water. The thermal distribution is studied

We consider a nonlinear oscillator with state-dependent time-delay that displays a countably infinite number of nested limit cycle attractors, i.e. megastability. In the low-memory regime, the equation reduces to a self-excited nonlinear oscillator and we use averaging methods to analytically show quasilinear increasing amplitude of the megastable spectrum of quantized quasicircular orbits. We further

In this work, we investigate a three-species Lotka–Volterra model incorporating omnivorous interactions, characterized by cross-trophic feeding behavior, and propose a novel predator strategy in which prudent predators avoid attacking aggressive individuals. Through rigorous mathematical analysis, we conduct a comprehensive examination of equilibrium existence and stability conditions, systematically

Here, we propose a unified approach to reproduce the Mandelbrot set, some inner structures of the period bulbs, and the complement of the Mandelbrot set. The special feature of the method is not only that all these structures are visualized with a single algorithm but also that it distinguishes mechanism that act on different time scales and, furthermore, its exceptional sensitivity, which approaches

In this paper, the three-coupled nonlinear Schrödinger equation, representing the complex optical pulse in three mode optical fibers, is discussed by the Hirota method. The stable transmissions of nondegenerate three-hump solitons are constructed. The evolutions of nondegenerate three-hump solitons to nondegenerate double-hump solitons and degenerate single-hump solitons are also discovered. The soliton

Critical points separate distinct dynamical regimes of complex systems, often delimiting functional or macroscopic phases in which the system operates. However, the long-term prediction of critical regimes and behaviors is challenging given the narrow set of parameters from which they emerge. Here, we propose a framework to learn the rules that govern the dynamic processes of a system. The learned

To address the issue of information security, we introduce a novel car-following model with electronic throttle functionalities that integrates continuous memory to mitigate cyber-attacks within a context of connected vehicles. This model is analyzed in two scenarios including suddenly stopping once and four times of the leading car at following two cases: Case 1, where connected vehicles operate normally

Two-dimensional multi-term time-fractional diffusion-wave equations (TFDWEs) have numerous applications in fields such as material science, complex media, thermodynamics, heat conduction, quantum systems, finance, and economics. This study focuses on solving a specific type of 2D TFDWE by developing a pseudo-operational collocation scheme that utilizes three-variable Jacobi polynomials over the domain

Anti-preferential attachment is a social network formation mechanism where nodes with a lower degree have more chances of acquiring new connections. Recent findings indicate interesting conditions under which anti-preferential attachment appears: it has been documented that pairs of online users with one or more friends in common are more likely to become friends if they have low degrees. Among pairs

Evaluating the propagation influence of nodes is crucial for understanding the survival and robustness of networks. In recent years, numerous methods have been widely applied to identify high-influence nodes, such as degree centrality and K-shell decomposition, which are based on single network features. However, these methods often fail to fully capture the propagation potential of nodes. To improve

We study the existence of dark gap quantum droplet (DGQD) families in the nonlinear Schrödinger equation with linear lattices, including both individual DGQDs and their clusters. Two types of linear lattices are studied in this work, monochromatic and bichromatic. The backgrounds of these families in bichromatic lattices differ from those in monochromatic lattices, being composed of two lattices instead

One-step generation of W-state entangled three-photons based on spontaneous six-wave mixing (SSWM) has been shown to have significant advantages over cascaded spontaneous parametric down conversion (SPDC) methods and cascaded spontaneous four-wave mixing (SFWM) methods. On this basis, this paper provides a theoretical insight into the optical response in non-Hermitian SSWM systems under linear and

This paper is devoted to studying the following spatially periodic reaction–diffusion equation with bistable nonlinearity: ∂tu−∇⋅(A(x)∇u)=f(x,u),t∈R,x∈RN.We investigate the effect of spatial heterogeneity on the propagation phenomenon of parabolic equations in RN. As a special entire solution, traveling waves play a significant role in studying the dynamic behavior of reaction–diffusion equations.

Fog harvesting is an emerging technology for harnessing atmospheric moisture, particularly in arid regions facing water scarcity. This study presents the development and validation of a novel measurement system designed to accurately quantify fog water collection efficiency using textile-based fog collection elements (FCEs). A specialized evaluation setup was designed to improve the precision and reproducibility

In this paper, we investigate a delayed diffusive predator-prey model. It is assumed that the predators can cooperate to improve their hunting efficiency, and the prey can employ anti-predator mechanisms when facing with the predation. Also, considering the episodic-like spatial memory of the prey, we incorporate a delayed diffusion term into the reaction-diffusion model. Through the stability and

This paper investigates the sliding bifurcations of a self-excited smooth and discontinuous (SD) oscillator with a nonlinear damper driven by moving belt friction. A generalized Filippov framework is applied to derive an explicit relationship between the coefficient of the nonlinear term and the maximum static friction coefficient. The conditions for the existence of various sliding bifurcations, including

This study extends the classical prisoner’s dilemma framework by introducing two novel strategies: egoistic cooperation and altruistic defection. Egoistic cooperators choose cooperation but simultaneously appropriate a portion of the payoffs from cooperators. In contrast, altruistic defectors choose defection but mitigate the negative impact on their cooperative partners through a compensation mechanism

Moiré photonic lattices, created by twisting or superimposing identical periodic sublattices, have attracted considerable interest as flexible platforms for topological photonics. Inspired by the Su–Schrieffer–Heeger model, we systematically investigate edge and corner states in a central-octagon moiré lattice. By discretizing this lattice, we demonstrate that both zigzag and bearded edges support

A study of coupling of the lattice ion vibrations, with the electron waves in a piezoelectric semiconductor quantum plasma is presented. The nonlinearities have been studied and the solitons have been analyzed. The theory has been built using the quantum hydrodynamic (QHD) model, incorporating the effects of Fermi pressure, quantum Bohm and exchange correlation potentials. The dispersion relation for

Unlike classical game-theoretic models that rely on deductive reasoning and strategic foresight, the Minority Game (MG) provides an inductive learning framework where agents adapt based solely on past outcomes. This simple yet powerful model has become a canonical setting for exploring decentralized coordination in competitive environments. Recently, reinforcement learning (RL) methods – most notably

The extensive scale and intricate connections of power networks have highlighted their vulnerability. The failure of a single vulnerable node can quickly bring down the system due to the networks’ sensitivity to interference. Therefore, it is crucial to efficiently and accurately identify the vulnerable nodes to enhance the safety and management of the power networks. The global information-based vulnerable

Pure-quartic solitons (PQSs) represent a significant advancement in the field of ultrafast optics, enabling the generation of high-energy pulses. This study presents a systematic numerical investigation of the pulsating and creeping dynamics of PQSs in a bidirectional mode-locked fiber laser, focusing on the influence of fourth-order dispersion (FOD). By carefully adjusting the FOD, distinct pulsating

Coexisting chaotic attractors provide much more convenience for the diverse outputs of chaos. At the same time, multistable chaotic systems exhibit strong uncertainty and complexity. Therefore, the chaotic system with multistable states plays an important role in specific application situations. In this paper, a chaotic system is transformed to be the one outputting countless coexisting chaotic attractors

The split-ring resonator (SRR) has become widely popular in the design of artificial two-dimensional materials at the sub-wavelength scale, known as metasurfaces. When exposed to an intense electric field, this meta-atom deposited on a suitable substrate can exhibit electromagnetic coupling and become a bianisotropic meta-atom metasurface, where various nonlinear phenomena can occur. In this paper

This article introduces a novel model to achieve bipartite leader-following synchronization of stochastic complex networks characterized by time-varying delays and multi-links, through the use of negative feedback control. Utilizing graph theory and the Lyapunov method, we develop global Lyapunov functions for the error system and derive new sufficient conditions for both mean-square exponential bipartite

In the study, a novel optimal control tactics is developed for the stabilization of a class of chaotic systems. This strategy is depended on the positive gradient descent training mode and provides a critic-actor reinforcement learning (RL) algorithm, where the critic network is accustomed to approximate the nonlinear Hamilton–Jacobi–Bellman equation obtained from the outstanding performance evaluation

We present and demonstrate topological edge states in the graphenelike moiré lattice composed of helical waveguides. The longitudinal helical modulation induces an artificial gauge field, which breaks time reversal symmetry in the photonic graphenelike moiré lattice and gives rise to topological edge states. By calculating the Berry curvature and Chern numbers of all bulk bands, we further confirm

The theoretical analysis of photonic spin Hall shift is investigated in gain-assisted four-level N-type dielectric atomic medium. The probe light interacts with a cavity filled with a four-level gain assisted atomic medium. The photonic spin shift tuned to positive and negative value at driving fields parameters. The high value of the photonic spin shift varies in the range of ±60λ≤δpL,R≤±100λ with

The abrupt onset of deterioration can have a profound impact on real-world situations, making it crucial to understand this process in order to prevent such events before they arise. In particular, understanding the dynamics of explosive transitions and aging behaviors in neural systems is essential for mitigating harmful illnesses. Importantly, we focus on such phenomena in coupled systems with distance-dependent

We investigate the two-dimensional modified Gross–Pitaevskii equation, accounting for the effects of atom gain/loss and a time-independent isotropic confining potential, utilizing the Hirota’s bilinear method. Through an appropriate bilinear form, we derive exact one-soliton and multi-soliton solutions. These solutions showcase two prominent phenomena: the second-order rogue matter wave with spatio-temporal

Surface acoustic wave (SAW)-based microfluidic particle separation offers exceptional biocompatibility and precision for biological applications. This study establishes a multiphysics coupling model integrating piezoelectric dynamics, acoustic-structural interactions, and fluid-particle mechanics to optimize SAW separator design. Systematic analysis of interdigital transducer geometry and flow-acoustic

Hysteresis, a common nonlinear phenomenon in engineering structures, has been extensively studied. However, the nonlinear behavior of hysteretic systems under combined deterministic and random excitations remains insufficiently explored. This paper investigates the stochastic response and P-bifurcation of hysteretic systems under harmonic and Poisson white noise excitations. The generalized Fokker–Planck–Kolmogorov

Symplectic mappings of the plane serve as key models for exploring the fundamental nature of complex behavior in nonlinear systems. Central to this exploration is the effective visualization of stability regimes, which enables the interpretation of how systems evolve under varying conditions. While the area-preserving quadratic Hénon map has received significant theoretical attention, a comprehensive

The outbreak of respiratory infectious diseases in metropolitan areas is often accompanied by the widespread adoption of mask wearing behavior. However, the dynamic feedback mechanism between mask wearing and disease spreading remains insufficiently understood. In this study, we first construct an age-structured metropolitan population using census data and describe its interpersonal contact network

The construction of neuron models using memristors with bionic properties can provide new ideas for brain-like research. This paper proposes a novel discrete locally active memristor (DLAM) designed to drive neuron map to generate complex chaotic dynamics. The nonvolatility and locally active properties of the proposed memristor are exhaustively investigated. The bifurcation behavior is analyzed by

We investigate the effect of phase lag on the two-dimensional swarmalator collectives. We find that the parameter space of dynamical states with spatial angle and phase correlation, and kinetic energy increases with increase in the phase lag of the swarmalators by decrease the spread of the static asynchronized state without any space-phase correlation and kinetic energy. The phase lag parameter also

This paper studies the fairness behavior of an ultimatum game played on multiplex networks from the perspective of stability and consensus, which enables us to gain more insights into large-scale complex systems, ranging from biology to behavioral sciences to economics, regarding the evolution of fairness and cooperative behavior. In addition to existing works, a more realistic and challenging scenario

This article investigates wave propagation in a two-phase flow with Chaplygin pressure law, an equation where pressure inversely depends on density. The study employs Lie symmetries and symmetry-driven analysis to derive one-dimensional optimal subalgebras using the adjoint transformation and the invariant functions. Symmetry reductions yield several new exact solutions, and their physical behavior

Maintaining cohesion is a fundamental challenge in group-living species, where individuals must balance their own activity schedules with the demands of social interactions. In this paper, we model group dynamics using a network of semi-coupled oscillators to investigate how differences in activity schedules impact social cohesion and fragmentation. By introducing parameters for social “stickiness”

This paper discusses a stochastic linear–quadratic optimal control problem with jumps in an infinite-dimensional Hilbert space. The state equation of this linear–quadratic optimal control problem is a stochastic evolution equation driven by a Poisson random martingale measure and a one dimensional Brownian motion. The cost functional is a quadratic generalized function consisting of a state process

Area-preserving nontwist maps locally violate the twist condition, giving rise to shearless curves. Nontwist systems appear in different physical contexts, such as plasma physics, climate physics, classical mechanics, etc. Generic properties of nontwist maps are captured by the standard nontwist map, which depends on a convection parameter a and a modulation coefficient b. In the spirit of non-autonomous

A generalization of the known active-dissipative Kuramoto-Sivashinsky equation coupled with a linear dissipative equation is considered. In such a model the region of zero solution instability is shown to depend in a complex way on the specific values of the problem parameters. The families of periodic nonlinear steady-state traveling solutions bifurcating from the zero solution in the vicinity of

Micropolar fluids have emerged as promising in modern energy systems due to their microstructure and enhanced thermal properties. This present study explores the behavior of free convective polar fluid subjected to an inclined magnetic field. Further, the impact of thermal radiation, internal heat generation, and chemical reaction effect enriches the flow phenomena. The study is vital for numerous

Light-powered self-oscillation allows for the direct absorption of heat from ambient illumination to maintain its movement, making it a valuable technology for sensors, energy harvesters and soft robots. However, achieving self-oscillation in pendulum systems remains experimentally challenging. To overcome this limitation, we experimentally proposes a bistable magnetic pendulum that utilizes magnetic

In this study, we investigate the influence of next-nearest neighbor interactions or homodimer coupling on the dynamics of quantum breathers in neuronal microtubules (nMTs) using both analytical and numerical methods. From the classical model describing the dynamics of the microtubule using a Hamiltonian, we formulated its quantum equivalent through Bose operators. By employing Ehrenfest’s theorem

Understanding the response of glucose homeostasis regulation mechanism to stochastic environmental fluctuation in vivo and in vitro may benefit to gain quantitative insight into the physiological processes of progression of hyperglycemia. In this paper, we propose a stochastic glucose insulin regulation model, which takes into account the correlated Gaussian color noises to describe the environmental

The influence of the Lévy noise’s properties on wavefront propagation is analysed on examples of ensembles of locally coupled bistable oscillators and a single bistable delayed-feedback oscillator considered as a spatially-extended system evolving in quasi-space. It is shown that additive Lévy noise allows to induce wavefront propagation in ensembles of symmetric bistable oscillators. In such a case

Human movement plays a key role in the spread of infectious diseases. However, in real life, mobility behavior often exhibits significant heterogeneity. Therefore, secondary contact is considered, which increases the probability that susceptible populations turn exposed. Based on these considerations, a multi-patch system that incorporates the above factors is proposed. First, the dynamics of this

We present a two-species competition system that incorporates road diffusion and non-local interactions, which describes a process of biological invasion. Using the modified comparison principle, we derive that the system possesses a unique global solution. We analyze the long-term behavior of the competing populations, that is, whether the invasion succeeds or fails. Our analysis reveals that in cases

As a member of the transition metal chalcogenides family, hafnium trisulfid (HfS3) has gained considerable interest in the realm of optoelectronics due to the distinctive optical and electronic properties. Notwithstanding this interest, there remains a paucity of comprehensive investigations into the saturable absorption characteristics and ultrafast laser applications of HfS3. In this study, we employed

Modern cryptographic systems demand ultrahigh-speed physical random bit generators (RBGs) capable of Tb/s operation, yet conventional approaches combining optical chaos with electronic processing face fundamental bandwidth limitations and time delay signature (TDS) vulnerabilities. Here, we propose a monolithic semiconductor laser diode-based RGB architecture capable of achieving real-time parallel