Chaos Solitons & Fractals最新文献_第8页

Shock waves and adiabatic trapping in relativistic quantum degenerate plasmas: Exploring periodic, quasiperiodic and chaotic behavior 相对论量子退化等离子体中的冲击波和绝热捕获：探索周期、准周期和混沌行为

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-15 DOI: 10.1016/j.chaos.2024.115651

{"title":"Shock waves and adiabatic trapping in relativistic quantum degenerate plasmas: Exploring periodic, quasiperiodic and chaotic behavior","authors":"","doi":"10.1016/j.chaos.2024.115651","DOIUrl":"10.1016/j.chaos.2024.115651","url":null,"abstract":"<div><div>Ion acoustic shock waves are investigated in relativistic quantum degenerate plasmas, which are characterized by their ultra-high densities. Our investigation employs a nonlinear equation that has a 3/2 order fractional power. We investigate the intricate interplay between the adiabatically trapped electrons and the shock front by employing phase portrait analysis of a planar dynamical system that has not been considered earlier. This exploration allows us to understand the effects of various controlling parameters on the shock profile, steepness, and associated dynamics. An external periodic force is introduced in the current mathematical model to investigate the quasiperiodic and chaotic behavior of the system. Additionally, Poincaré sections, Fast Fourier Transformations, bifurcation analysis, and sensitivity analysis are performed to reveal the quasiperiodic and chaotic nature of the attractor of the nonlinear dynamical system. It is observed that the commensurable and incommensurable characteristics of the natural frequency and external periodic force frequency of the system play a significant role in the system's quasiperiodic and chaotic behavior. The findings not only deepen our understanding of shock waves in relativistic quantum degenerate plasmas but also have broader implications for various applications in astrophysics and nonlinear dynamics. This work also highlights the quasiperiodic and chaotic behavior of the system as the external periodic force varies by considering the commensurability of the system's frequencies.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142438122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Entanglement between indirectly coupled modes in a coupled opto-magnomechanical system 耦合光磁机械系统中间接耦合模式之间的纠缠

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-15 DOI: 10.1016/j.chaos.2024.115629

引用次数: 0

An improved lattice Boltzmann model for variable-order time-fractional generalized Navier-Stokes equations with applications to permeability prediction 可变阶时间分数广义纳维-斯托克斯方程的改进型晶格玻尔兹曼模型及其在渗透率预测中的应用

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-14 DOI: 10.1016/j.chaos.2024.115616

{"title":"An improved lattice Boltzmann model for variable-order time-fractional generalized Navier-Stokes equations with applications to permeability prediction","authors":"","doi":"10.1016/j.chaos.2024.115616","DOIUrl":"10.1016/j.chaos.2024.115616","url":null,"abstract":"<div><div>The classic generalized Navier-Stokes (GNS) equations with integer-order calculus are not capable of capturing anomalous transport phenomena within porous media. Fractional calculus is able to character transport processes related to long-term memory and is commonly incorporated into various model equations for describing anomalous transport. The fractional order typically demonstrates spatial variation due to the spatial variability of complex microstructures within porous media. In this study, variable-order time-fractional GNS equations are presented to describe anomalous dynamics in porous flows by introducing the time-fractional derivative with a space-dependent fractional order. A fresh lattice Boltzmann (LB) model is developed to solve the variable-order time-fractional GNS equations. The key point is to propose a new equilibrium distribution function and a modified discrete force term so that the LB model can recover the correct macroscopic equations. Numerical simulations are carried out to verify the present model, and a strong consistency is found between the LB and analytical solutions. The present LB model is employed to simulate fluid flow through porous media and predict the permeability at the representative elementary volume (REV) scale. In contrast to previous research that focused solely on the REV-scale permeability under stable-state conditions, this study provides a comprehensive analysis of the REV-scale permeability under both unstable and stable states. Furthermore, the impact of the fraction order on the REV-scale permeability is thoroughly investigated. An increase in the fractional order is observed to result in a shorter time for the REV-scale permeability to reach a stable state, while having little impact on the REV-scale permeability in the stable state. The spatial distribution of the fraction order affects the spatial distribution of the velocity field, and then influences the REV-scale permeability in the stable state.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142432024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Simultaneous identification of the unknown source term and initial value for the time fractional diffusion equation with local and nonlocal operators 利用局部和非局部算子同时识别时间分数扩散方程的未知源项和初始值

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-14 DOI: 10.1016/j.chaos.2024.115601

引用次数: 0

Two-component model of a microtubule in a semi-discrete approximation 半离散近似的微管双组分模型

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-14 DOI: 10.1016/j.chaos.2024.115623

引用次数: 0

Dynamical sensitivity of a three-layer microsystem under the influence of the Casimir force in a ferrofluid 铁流体中卡西米尔力影响下三层微系统的动态灵敏度

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-14 DOI: 10.1016/j.chaos.2024.115637

{"title":"Dynamical sensitivity of a three-layer microsystem under the influence of the Casimir force in a ferrofluid","authors":"","doi":"10.1016/j.chaos.2024.115637","DOIUrl":"10.1016/j.chaos.2024.115637","url":null,"abstract":"<div><div>Here, we investigated the actuation dynamics of a microsystem in the presence of Casimir and dissipative hydrodynamic forces having a ferrofluid as the intervening layer between components. It is shown that the Casimir force decreases as the concentration of the Fe<sub>3</sub>O<sub>4</sub> nanoparticles of 10 nm diameter in the ferrofluid increases. In addition, changes in nanoparticle concentration leads to changes of the viscosity of the ferrofluid resulting to changes of the hydrodynamic forces. The latter is reflected by changes in the area of the velocity-position phase portraits. In the short distance limit, the autonomous microsystem with optical properties closer to metals shows a limited motion area in the phase space, which is increased as the concentration of nanoparticles decreases, leading also to an increased possibility for stiction and malfunction. By applying an external driven force, the microsystem reveals stable oscillation over large distances and, by increasing this force, the range of stable oscillation and the velocity of the moving component grows. However, by decreasing the driving frequency, the range of stable oscillation expands despite that the moving plate does not achieve high velocity. Finally, the driven microsystem can effectively sustain stable oscillation over an extended period and avoid stiction by using materials for components of low conductivity and/or using high concentration of nanoparticles. This is happening because in both cases the attractive Casmir force, which favors stiction, decreases.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142432123","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamics analysis of time-delayed nonlinear system with asymmetric stiffness 具有不对称刚度的延时非线性系统的动力学分析

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-14 DOI: 10.1016/j.chaos.2024.115624

{"title":"Dynamics analysis of time-delayed nonlinear system with asymmetric stiffness","authors":"","doi":"10.1016/j.chaos.2024.115624","DOIUrl":"10.1016/j.chaos.2024.115624","url":null,"abstract":"<div><div>Time-delayed Duffing oscillators have been widely studied for their rich dynamic properties and their capacity to describe dynamic systems with delays and nonlinearities. However, due to the assumption of symmetry, these oscillators often fail to accurately represent systems influenced by asymmetric stiffness. Analyzing the dynamic characteristics of time-delayed nonlinear systems with asymmetric stiffness, as well as developing effective control strategies, remains particularly challenging. This paper introduces a quadratic stiffness term into the time-delayed Duffing oscillator, resulting in a Time-Delayed Nonlinear System with Asymmetric Stiffness (TD-ASNS). The TD-ASNS is designed to model dynamic systems that incorporate asymmetric stiffness and time delay. The Multiple Scales Method is used to solve the TD-ASNS, and numerical methods are employed to validate the analytical solution. This study examines the influence of time delay and excitation parameters on system response and stability. The time delay term functions like quasi-stiffness and quasi-excitation, shifting the amplitude-frequency response curve along the frequency axis and the resonance backbone, respectively. Similarly, the excitation term shifts the curve along the resonance backbone. This research highlights the critical roles of the delay and excitation parameters in TD-ASNS, which impact dynamic response, stability, and bifurcation behavior. It provides a theoretical foundation for analyzing and controlling the stability of dynamic systems characterized by both asymmetric stiffness and time delay.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142432022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation 设计混沌杨氏双缝实验优化启发式，用于识别关键项分离的非线性肌肉模型

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-12 DOI: 10.1016/j.chaos.2024.115636

{"title":"Design of chaotic Young's double slit experiment optimization heuristics for identification of nonlinear muscle model with key term separation","authors":"","doi":"10.1016/j.chaos.2024.115636","DOIUrl":"10.1016/j.chaos.2024.115636","url":null,"abstract":"<div><div>In this work, a novel variant of Young's double slit experiment (YDSE) optimizer is introduced with improved performance by integrating ten different chaotic maps. The integration is performed in three different ways and thirty chaotic variants of YDSE optimizer are proposed. The analysis is performed on mathematical and CEC benchmark functions having unimodal and multimodal features. It is further applied to electrically stimulated muscle model which is generalization of input nonlinear Hammerstein controlled autoregressive model with key term separation used for patients with spinal cord injury. The results indicates that chaotic maps enhance the performance of YDSE optimizer. More specifically integration of Gauss map in both exploration and exploitation mechanisms (M3CYDSE3) is most effective than other variants. Detailed convergence analysis, statistical executions, complexity analysis and Freidman test show that M3CYDSE3 achieves best performance against artificial electric field algorithm (AEFA), arithmetic optimization algorithm (AOA), propagation search algorithm (PSA), particle swarm optimization (PSO), sine cosine algorithm (SCA), and YDSE optimizer.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A reinforced reservoir computer aided by an external asymmetric dual-path-filtering cavity laser 由外部非对称双路滤波腔激光器辅助的加固型水库计算机

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-12 DOI: 10.1016/j.chaos.2024.115652

{"title":"A reinforced reservoir computer aided by an external asymmetric dual-path-filtering cavity laser","authors":"","doi":"10.1016/j.chaos.2024.115652","DOIUrl":"10.1016/j.chaos.2024.115652","url":null,"abstract":"<div><div>Chaos, characterized by irregular, stochastic-like and occurring in deterministic systems, is widely used in meteorology, life sciences, and physics. Precise chaos predictions are crucial for early warning of extreme weather and disease prevention. We propose a photonic time-delay reservoir computing (TDRC) system with asymmetric dual-path filtering optical feedback under optical injection for short-term prediction of chaotic time series. To thoroughly evaluate the performance in short-term prediction provided by such TDRC, we assess two different chaotic time series, i.e., the Santa-Fe and Mackey-Glass chaotic time series, as well as the memory capacity. Numerical results indicate that the proposed TDRC outperforms the system with conventional dual-path optical feedback in short-term prediction performance. This is attributed to the enhanced memory capacity originating from the asymmetric dual-path filtering optical feedback. Additionally, we reveal the effects of the injection strength, feedback strength, filter bandwidth and the number of virtual nodes on the system performance. Our work provides a novel path for accurate short-term prediction of complex chaotic systems using photonic TDRC.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Single direction, grid and spatial multi-scroll attractors in Hopfield neural network with the variable number memristive self-connected synapses 具有可变记忆自连接突触的 Hopfield 神经网络中的单向、网格和空间多滚动吸引子

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-12 DOI: 10.1016/j.chaos.2024.115584

{"title":"Single direction, grid and spatial multi-scroll attractors in Hopfield neural network with the variable number memristive self-connected synapses","authors":"","doi":"10.1016/j.chaos.2024.115584","DOIUrl":"10.1016/j.chaos.2024.115584","url":null,"abstract":"<div><div>Due to the synapse-like nonlinearity and memory characteristics, the memristor is often used to simulate the biological neural synapse. In this paper, a family of three-neuron Hopfield neural network (HNN) models based on the variable number memristive self-connected synapses is proposed. Firstly, a single memristive self-connected synapse (SMSCS) HNN model is constructed, which can generate a single direction multi-scroll attractor controlled by the memristor parameters. Meanwhile, its dynamic behaviors including equilibrium points, multiple coexisting attractors and controllable <em>n</em>-scroll chaotic attractors are analyzed. Secondly, based on the above SMSCS HNN model, two types of multiple memristive self-connected synapse (MMSCS) HNN models are constructed. By changing the control parameters of the memristors, these MMSCS HNN models can not only generate the different scroll numbers of grid and spatial multi-scroll attractors, but also can produce the spatial initial-offset coexisting attractors. The above three HNN models utilizing the variable number memristors to simulate one to three self-connected synapses can generate a class of complex chaotic attractors, which include single direction, grid and spatial multi-scroll attractors. Finally, the feasibility of the proposed HNN models is verified by the FPGA platform.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142419342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0