Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2025, volume 199, articles P1

Co-evolution of cooperation and resource allocation in the advantageous environment-based spatial multi-game using adaptive control

Chengbin Sun, Alfonso de Miguel-Arribas, Chaoqian Wang, Haoxiang Xia and Yamir Moreno

Understanding solute dispersion in EMHD-EOF microchannels: The role of magnetic and electric field interactions

Sourav Hossain, Swarup Barik and Christina W. Tsai

Combining deliberate study and heuristics to form opinions on interconnected questions

Ruijie Wang, Yuhao Zhou and Matúš Medo

Taming cluster synchronization

Cinzia Tomaselli, Lucia Valentina Gambuzza, Gui-Quan Sun, Stefano Boccaletti and Mattia Frasca

A simple interpolative contraction approach for analyzing existence and uniqueness of solutions in the fractional-order King Cobra model

Haroon Ahmad, Fahim Ud Din, Mudasir Younis and Lili Chen

Recent outcomes in time-dependent driven polymer translocation: A brief review

A. Sáinz-Agost, F. Falo and A. Fiasconaro

Homotopy homoclinic orbit and global dynamics analysis of the double-excited Duffing–van der Pol system

Danjin Zhang, Meirong Ren and Youhua Qian

Evolutionary dynamics of threshold public goods games on random hypergraphs

Hainan Wang, Jiliang Zhang, Qiyao Luo, Xiao-Pu Han, Longqing Cui, Ruirui Wu, Lei Gong, Yanni Liu and Fanyuan Meng

Dynamic asymmetric reflective decision-making supports the evolution of cooperation

Xiaopeng Li, Xiuli Zhang, Zhonglin Wang and Yicheng Pang

Interval type-3 fuzzy Wiener model for nonlinear dynamic systems: Application to continuous stirred tank reactor

Tarek R. Khalifa, Xian Yu, Amin Sharafian, Xiaopin Zhong and Zongze Wu

Collective motion of self-propelled particles with selective interactions regulated by Motion Salience Threshold

Yanan Li, Yongjian Zhou, Xiaokang Lei and Xingguang Peng

Firing activities induced by various stimuli in a memristive ion channel-based bionic circuit

Xincheng Ding, Chengtao Feng, Ning Wang, Huagan Wu and Quan Xu

Parameter training methods for convolutional neural networks with adaptive adjustment method based on Caputo fractional-order differences

Haiming Zhao, Honggang Yang, Jiejie Chen, Ping Jiang and Zhigang Zeng

Tunable OAM interaction between phase and intensity singularities

Shunyu Liu, Xiaoying Tang, Nana Liu, Huanpeng Liang, Peiyu Zhang, Lu Tian, Yu-Xuan Ren, Peilong Hong and Yi Liang

The impact of tax-based rewards and mercenary punishment on public goods games

Yong Shen, Zixuan Deng, Hongwei Kang, Xingping Sun and Qingyi Chen

Evolution of cooperation in spatial public goods games driven by reinforcement learning and environmental feedback

Yujin Yang, Dawei Zhao and Juan Wang

Inverse optimal pinning synchronization control for higher-order networks on multi-directed hypergraphs

Dan Liu, Bin Zhang and Binrui Wang

Trade-off dynamics of predator–prey system incorporating variable carrying capacity and wind effect

Chuanyu Dai, Qinglong Wang, Zhijun Liu and Qian Yan

Stabilization of the transverse instability of the periodic waves of the (2+1)D hyperbolic nonlinear Schrödinger equation

Wei-Chao Ma and Wen-Rong Sun

Hybrid Morié flatbands in triple-layer superlattices via flatbands coupling

Peilong Hong, Can Lu, Yu Wang, Changfeng Liang, Liwei Zhang, Peng Cheng, WangPing Cheng, Mingfang Yi and Yi Liang

Scalar embedding of temporal network trajectories

Lucas Lacasa, F. Javier Marín-Rodríguez, Naoki Masuda and Lluís Arola-Fernández

Adaptive dynamics of a stage structure model for sacoglossan sea slugs with larval type dimorphism

Shengnan Zhao and Sanling Yuan

Impact of (a)synchronism on ECA: Towards a new classification

Isabel Donoso-Leiva, Eric Goles, Martín Ríos-Wilson and Sylvain Sené

Numerical investigation on the 3-periodic wave solutions of (1+1)-dimensional and (2+1)-dimensional integrable equations

Yutao Gong, Yunhu Wang and Huanhe Dong

Stochastic wave propagation dynamics and chaotic behavior under random perturbation for the fractional order Triki–Biswas model with white noise

Xin Wang, Hang Chen, Dong Li and Shibo Fu

Nonlinear dynamics of gap solitons in SOC-BECs trapped in a deformed honeycomb optical lattice

Xi Zhao, Pu Tu, Jin-Ping Ma, Kai-Hua Shao, Bao-Long Xi, Rui-Ming Su, Yan Song and Yu-Ren Shi

Improving the small-signal stability of a stochastic power system — Algorithms and mathematical analysis

Zhen Wang, Kaihua Xi, Aijie Cheng, Hai Xiang Lin and Jan H. van Schuppen

Exploring fractal geometry through Das–Debata iteration: A new perspective on Mandelbrot and Julia Sets

Subhadip Roy, Krzysztof Gdawiec, Parbati Saha and Binayak S. Choudhury

A control approach for traffic congestion based on multipath propagation model

Xiaojing Zhong, Kunkai Liang, Feiqi Deng and Xueyan Zhao

Fractal-induced flow dynamics: Viscous flow around Mandelbrot and Julia sets

Mutaz Mohammad and Alexander Trounev

Concentration and cavitation in the Euler equations for nonisentropic fluids with ideal polytropic dusty gas

Yu Zhang, Chunwang Yan and Yanyan Zhang

The role of fear and public opinion in mitigating the impact of deniers during epidemics

Shidong Zhai, Yuhan Tang, Jun Ma and Junli Tao

Analysis and optimization control of demand response via networked evolutionary game with memory

Mengyu Zhou, Xingwen Liu, Yaojun Liu, Qi Hu and Feng Shu

Interplay between preys’ anti-predator behavior and predators’ cooperative hunting: A mathematical approach

Yilin Zhang, Lijuan Chen, Fengde Chen and Zhong Li

Machine learning-integrated computational analysis on a blood-based ternary nanofluid flow in a stenosed artery with the artificial neural networks and modified finite difference approach

Mohib Hussain, Du Lin, Hassan Waqas, Bagh Ali and Nehad Ali Shah

Time delay reservoir computing based on mutually coupled add-drop microring resonators

Lili Li, Yiyuan Xie, Xiao Jiang, Ye Su, Yichen Ye, Zelin Li and Yuhan Tang

Beyond cyclic dominance: Reinforcement learning promotes cooperation in the spatial rock–paper–scissors game

Zehua Si and Takayuki Ito

DI-CCNS: Directed community detection via co-clustering and node similarity with adaptive parameter optimization

Guihai Yu, Yang Jiao, Xiaopeng Li and Matjaž Perc

Stability study of electromagnetic SD oscillator vibration isolation system considering nonlinear characteristics of electromagnetic force under state feedback control

Meiqi Wang, Qian Zu, Ruichen Wang, Chengwei Qin and Pengfei Liu

Geometric nonlinear dynamics of a quasi-zero stiffness isolator integrated with an energy harvester: Monostable, perfect zero-linear stiffness, and bistable oscillation modes

Nasser A. Saeed, Y.Y. Ellabban, Lei Hou, Shun Zhong and Faisal Z. Duraihem

Step-type initial value problem for the third-order Kaup–Newell equation

Yuping Sun, Yushu Zeng and Shihui Zhu

Spatiotemporal dynamics of a food chain model incorporating higher-order interactions and slow–fast effect

Feng Min, Min Xiao, Jinde Cao, Zhen Wang, Jie Ding and Leszek Rutkowski

Theoretical and experimental observation of border-collision bifurcations, coexisting attractors, and complex Arnol’d tongues in a driven piecewise-constant oscillator

Hironobu Kuriyama, Tadashi Tsubone, Munehisa Sekikawa, Naohiko Inaba and Hideaki Okazaki

Noisy sine-Gordon breather dynamics: A short review

Duilio De Santis, Davide Valenti, Bernardo Spagnolo, Giovanni Di Fresco, Angelo Carollo and Claudio Guarcello

Granular Q-learning adaptation boosts collective welfare in multi-agent Prisoner’s Dilemma

Hsuan-Wei Lee and Yi-Ning Weng

Energy function of 2D and 3D coarse systems

Jean-Marc Ginoux, Riccardo Meucci, Jaume Llibre and Julien Clinton Sprott

Finite element analysis of morphological effects and nanolayer thermal conductivity in Boger nanofluids under thermal radiation

Qadeer Raza, Shuke Li, Xiaodong Wang, Bagh Ali and Nehad Ali Shah

Proportional feedback and optimal control of perturbed sine-Gordon kink solitons

Mordecai Opoku Ohemeng, Joseph Ackora-Prah, Benedict Barnes and Ishmael Takyi

Actuator and sensor fault detection for a nonlinear fractional-order system with time-varying delay

Zhemin Zhao, Lingyu Zhu, Jiafu Li and Dongsheng Du

Formation and maintenance of neuronal collective dynamics through local perturbation and intrinsic node dynamics

Runzhou Liu, Yan Zhang, Jijun Wang, Muhua Zheng and Kesheng Xu

Emergent properties in social networks with higher-order interactions

Soo Min Oh, Yongsun Lee and Byungnam Kahng

Chaotic intermittency as a random telegraphic signal

Sergio Elaskar, Juan Colman, Inés P. Mariño, Juan C. Vallejo, Jesús M. Seoane and Ezequiel del Rio

Orbital dynamics at the equilibrium points under velocity perturbations in the CRTBP: Application to the earth-moon system

Aikaterini Nikaki, Angela Perdiou, George Tsirogiannis and Vassilis Kalantonis

Vibrational resonance and antiresonance in a membrane-in-the-middle optomechanical system

Xin Fu, Shan Wu, Cuicui Li, Min Xie, Zhenglu Duan and Bixuan Fan

Q-learning update with second-order reputation promotes the evolution of trust within structured populations

Yuying Zhu, Bohua Xing and Chengyi Xia

Interpretable graph clustering on massive attribute networks via multi-agent dynamic game

Huijia Li, Fanghao Lou, Qiqi Wang and Guijun Li

Stability of networked evolutionary games with asynchronous strategy updating rules and different memory lengths

Haonan Li, Pengfei Yan, Fukun Liu and Hao Zhang

Disease transmission in dynamic social networks constructed by reinforcement learning-driven preventive game

Yinuo Qian, Dawei Zhao and Chengyi Xia

Dynamic analysis and implementation of a multi-stable Hopfield neural network

Xuxin Li, Min Luo, Bo Zhang and Song Liu

Dynamical behaviors and firing patterns in a fully memory-element emulator-based bionic circuit

Xincheng Ding, Weiwei Fan, Ning Wang, Yuanhui Su, Mo Chen, Yuan Lin and Quan Xu

Emergence of social hierarchies in a society with two competitive groups

Marc Sadurní, Josep Perelló and Miquel Montero

Noise-induced ecological shifts in a prey–predator model

Alexander Belyaev, Lorenzo Cerboni Baiardi, Jochen Jungeilges and Tatyana Perevalova

Design and application of spatial multi-structure hidden attractors in memristor-coupled heterogeneous neural networks

Jie Zhang, Liu Yang, Jiangang Zuo, Xiaodong Wei and Nana Cheng

Neurodynamics in simple cyclic Hopfield neural network under external electromagnetic radiation and stimulating current inputs

Qiang Lai, Minghong Qin and Guanrong Chen

Dynamic pyramidal volume correction method for calculating the three-dimensional fractal dimension of machined surfaces

Jingqi Yin, Juhui Chen, Guangbin Yu, Shiyuan Qi, Dan Li, Michael Zhuravkov and Siarhei Lapatsin

Effect of malicious cyber-attack on jamming transition in a multi-phase mixed flow model under regular vehicles and connected vehicles environment

Yi Tang, Cong Zhai, Yingping Xiao, Min Zhai and Jiyong Zhang

Efficient polynomial kernel-based method for multi-term time-fractional diffusion systems in regular and irregular domains

Babak Azarnavid, Mojtaba Fardi and Hojjat Emami

Adjustable predefined time sliding mode control method for nonlinear systems with unknown disturbances

Xiaohua Liu, Chao Jia and Junjie Ping

A new kind of T-point in the Lorenz system with a different bifurcation set

A. Algaba, F. Fernández-Sánchez, M. Merino and A.J. Rodríguez-Luis

Vibro-impact nonlinear energy sink dynamics in a harmonically excited weakly coupled two-degree-of-freedom linear oscillator

Bin Fang, Yi-Chen Wang, Guo-Xin Mao and Wei Wang

Non-periodic intermittent stochastic control for SVIQR epidemic model on complex network with saturation incidence rate

Xinjie Fu and JinRong Wang

Modeling the coevolution of information diffusion and garbage classification behavior on simplicial complex networks

Xiu-Xiu Zhan, Guangyuan Mei, Chenwei Xie, Fan Lv, Chuang Liu and Zi-Ke Zhang

A novel extreme multistability system coupled by HR neuron and unidirectional cyclic HNN and its application in medical image encryption

Zhi Huang, Zhen Li, Qiao Wang, Weijie Tan and Xianming Wu

The role of fractal geometry in assessing typhoon intensity from remote sensing images

Xiaojian Yu, Hanyin Chen and Zhonglu Lin

Dynamical evolution of social network polarization and its impact on the propagation of a virus

Ixandra Achitouv and David Chavalarias

Phase transitions in mixed traffic streams comprising HDVsand CAVs through the implementation of delayed control mechanisms to mitigate traffic jerk

Tong Zhou, Yudan Tian, Meilan Zhu, Guanghan Peng and Darong Huang

Pricing decisions and stability analysis in blockchain-enabled cross-border dual-channel supply chain

Fengjie Xie, Xiaoyang Shen and Siyi Wang

Complexity control in living matter

Korosh Mahmoodi, Scott E. Kerick, Piotr J. Franaszczuk, Paolo Grigolini and Bruce J. West

Stability and nonlinear analyses for mixed traffic comprising human-driven vehicles and connected human-driven vehicles with different control strategies

Pei-Ni Gu, Chen Liang, Geng Zhang and Dong-Bo Pan

An adaptive nonlinear controller design for a class of uncertain chaotic systems with single input using linear model reference

Fatih Adıgüzel

Robust data-driven frequency-domain-based ILC designs for non-repetitive linear discrete-time systems

Wen-Yuan Fu, Xiao-Dong Li and Tao Qian

Coherence and stochastic resonance in a self-sustaining enzyme-reaction system coupled to magnetic flux

C. Dang-Ra, A. Chamgoué Chéagé, O.T. Lekeufack, G. Filatrella, A. Troisi and R. Yamapi

Coherent quantum feedback-enhanced synchronization in a cavity-magnon system

Rong-Can Yang, Yue-Han Lin, Ya-Qin Lin, Zhi-Ying Lin, Fang Li and Hong-Yu Liu

A relaxed Lyapunov function lemma and genetic algorithm applying to time-delay systems

Can Zhao, Yunpei Chen, Kaibo Shi, Lei Zhang and Yujia Nie

A lattice model of mixed traffic flow based on critical safety potential field and driver vigilance feedback: Numerical simulation of critical safety potential field fluctuations characterizing the effects of vehicle mass and volume differences

Hongzhuan Zhao, Yijie Tang, Yichen Wang, Quan Yuan, Tao Wang, Dan Zhou, Yicai Zhang, Liangyi Yang, Qi Xu and LiQiao Nong

A liquid crystal elastomer-based generator using light-powered self-oscillations

Dali Ge, Wu Bao, Haiming Chen and Kai Li

Surface plasmon resonance at the interface of high magneto-optical dielectric medium and graphene

Qaisar Khan, Ibrahim Aldayel and Meraj Ali Khan

Dynamic evolution of cooperation based on adaptive reputation threshold and game transition

Hongyu Yue, Xiaojin Xiong, Minyu Feng and Attila Szolnoki

Dynamical analysis, and the effect of fractional parameters on optical soliton solution for Yajima–Oikawa model in short-wave and long-wave

Mohamed Abdalla, Md. Mamunur Roshid, Mohammad Safi Ullah and Ismail Hossain

Chaotic self-trapped vortex beams driven by boundary modulation of thermally nonlocal nonlinear media

Zhi-Xuan Wang, Jun-Jie Li, Xiao-Ying Fu, Yuan Zhao and Hui-Cong Zhang

Forced harmonic vibrations of duffing oscillator with cubic-quintic spring nonlinearity

Sergey V. Kuznetsov

A radial basis scale conjugate gradient neural network process for the Zika model with human movement and reservoirs

Zulqurnain Sabir, Basma Souayeh, Muhammad Umar, Soheil Salahshour, Huda Alfannakh and S. Suresh Kumar Raju

High-dimensional memristor-coupled multiple neural networks with spatial multi-structure attractors and application in image encryption

Qiuzhen Wan, Chaoyue Chen, Tieqiao Liu, Huhui Rao and Jun Dong

Intra- and inter-layer dynamics of a two-layer Izhikevich neuron map

İbrahim Ethem Saçu

Chaotic evolution of shock, soliton, and solitary-shock waves in a degenerate quantum plasma with adiabatically trapped electrons

Zeeshan Iqbal, Hassan Amir Shah, Eihab M. Abdel-Rahman and Muhammad Nouman Sarwar Qureshi

Influence of nonlinearity and Doppler effect on group index in a four-level tripod atom system

Nguyen Huy Bang, Le Nguyen Mai Anh, Luong Thi Yen Nga, Nguyen Van Phu, Hoang Minh Dong, Nguyen Van Ai and Le Van Doai

Physical characteristic and dynamics in a neural circuit without using inductor and nonlinear resistor

Zhao Lei, Yitong Guo, Jun Ma and Guodong Ren

DC-bias induced chaotic dynamics and periodic bursting in Chua's diode-based FitzHugh-Nagumo circuit

Liuhui Chen, Han Bao, Xi Zhang, Yunzhen Zhang and Bocheng Bao

A photocurrent-driven memristive ion channel neuron

Feifei Yang, Xinlin Song and Ying Xu

Analysis of synchronization transitions in higher-order Kuramoto oscillator system with different orders of phase lags

Tianyu Li, Ying Xie, Zhiqiu Ye, Jiapei Zeng, Yingqi Liu, Lu Liu and Ya Jia

Decoding driving states based on normalized mutual information features and hyperparameter self-optimized Gaussian kernel-based radial basis function extreme learning machine

Jichi Chen, Fuchang Fan, Chunfeng Wei, Kemal Polat and Fayadh Alenezi