Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2024, volume 182, articles C

Refuge-driven spatiotemporal chaos in a discrete predator-prey system

Huayong Zhang, Fenglu Guo, Hengchao Zou, Lei Zhao, Zhongyu Wang, Xiaotong Yuan and Zhao Liu

Generalized divergences for statistical evaluation of uncertainty in long-memory processes

Hidekazu Yoshioka and Yumi Yoshioka

The synergy of elimination and zero-determinant strategy on dynamic games

Junfang Wang and Aizhong Shen

First- and second-order phase transitions in electronic excitable units and neural dynamics under global inhibitory feedback

Ludovico Minati, Silvia Scarpetta, Mirna Andelic, Pedro A. Valdes-Sosa, Leonardo Ricci and Antonio de Candia

Rich dynamics of a delayed Filippov avian-only influenza model with two-thresholds policy

Xubin Jiao and Xiuxiang Liu

A mobile node path optimization approach based on Q-learning to defend against cascading failures on static-mobile networks

Rongrong Yin, Yumeng Wang, Linhui Li, Le Zhang, Zhenyang Hao and Chun Lang

Research on chaotic secure optical communication system based on dispersion keying with time delay signatures concealment

Min-Jun Li, Xue-Fang Zhou, Fei Wang, Mei-Hua Bi, Guo-Wei Yang, Meng-Meng Xu, Miao Hu and Hao-Zhen Li

Design of Runge-Kutta optimization for fractional input nonlinear autoregressive exogenous system identification with key-term separation

Taimoor Ali Khan, Naveed Ishtiaq Chaudhary, Zeshan Aslam Khan, Khizer Mehmood, Chung-Chian Hsu and Muhammad Asif Zahoor Raja

Bifurcation, phase plane analysis and exact soliton solutions in the nonlinear Schrodinger equation with Atangana's conformable derivative

Md. Nur Alam, Mujahid Iqbal, Mohammad Hassan, Md. Fayz-Al-Asad, Muhammad Sajjad Hossain and Cemil Tunç

Mixed localized waves in the coupled nonlinear Schrödinger equation with higher-order effects

Linming Qi, Lu Liu and Weiliang Zhao

Trust-induced cooperation under the complex interaction of networks and emotions

Yunya Xie, Yu Bai, Yankun Zhang and Zhengyin Peng

Comment on the paper of El-Ganaini et al. [Chaos, Solitons and Fractals 140 (2020) 110218]

Mostafa M.A. Khater

Evolution of dispersive shock waves to the complex modified Korteweg–de Vries equation with higher-order effects

Qian Bai, Xinyue Li and Qiulan Zhao

Sparse least squares via fractional function group fractional function penalty for the identification of nonlinear dynamical systems

Yisha Lu, Yaozhong Hu, Yan Qiao, Minjuan Yuan and Wei Xu

Linear limit continuation: Theory and an application to two-dimensional Bose–Einstein condensates

Wenlong Wang

Preparation and properties of a non-Gaussian state by quantum catalysis with thermal state input

Xiao-Yan Zhang, Zhen-Bao Feng, Ji-Suo Wang, Xiang-Guo Meng and Bao-Long Liang

Adaptive asymptotic tracking control of uncertain fractional-order nonlinear systems with unknown control coefficients and actuator faults

Zhiyao Ma, Ke Sun and Shaocheng Tong

Energy and self-adaption in a memristive map neuron

Junen Jia, Chunni Wang, Xiaofeng Zhang and Zhigang Zhu

Dynamics of asymmetric multifractal cross-correlations between cryptocurrencies and global stock markets: Role of gold and portfolio implications

Ling Mei-jun and Cao Guang-xi

Controlling chaotic vocal fold oscillations in the numerical production of vowel sounds

Oriol Guasch, Marc Freixes, Marc Arnela and Annemie Van Hirtum

Explosive and semi-explosive transitions in parametrically perturbed systems

M. Paul Asir, Premraj Durairaj, Sathiyadevi Kanagaraj and M. Lakshmanan

Conformity poses a double-edged sword effect on the evolution of cooperation within heterogeneous endowment populations

Xiaoyue Wang, Zhixue He and Lei Shi

Nonlinear dynamical systems: Time reversibility versus sensitivity to the initial conditions

Constantino Tsallis and Ernesto P. Borges

Qualitative analysis on a reaction–diffusion SIS epidemic model with nonlinear incidence and Dirichlet boundary

Jianpeng Wang, Kai Wang, Tingting Zheng, Pan Zhou and Zhidong Teng

The Lie point symmetry criteria and formation of exact analytical solutions for Kairat-II equation: Paul-Painlevé approach

Waqas Ali Faridi, Abdul-Majid Wazwaz, Almetwally M. Mostafa, Ratbay Myrzakulov and Zhanar Umurzakhova

An extensive conformable fractional grey model and its application

Jie Xu, Wen-Ze Wu, Chong Liu, Wanli Xie and Tao Zhang

Spectrum conversion and pattern preservation of Airy beams in fractional systems with a dynamical harmonic-oscillator potential

Xiaoqin Bai, Juan Bai, Boris A. Malomed and Rongcao Yang

Tropical curves and solitons in nonlinear integrable systems

Takashi Ichikawa

Two-stage benefits of internal and external noise to enhance early fault detection of machinery by exciting fractional SR

Yuanbiao He, Zijian Qiao, Biaobiao Xie, Siyuan Ning, Zhecong Li, Anil Kumar and Zhihui Lai

Ring-like partially nonlocal extreme wave of a (3+1)-dimensional NLS system with partially nonlocal nonlinearity and external potential

Yu Zhu, Jing Yang, Zezhou Chen, Wei Qin and Jitao Li

Similarity signature curves for forming periodic orbits in the Lorenz system

Jindi Li and Yun Yang

A simple 4D no-equilibrium chaotic system with only one quadratic term and its application in pseudo-random number generator

Wanjiang Xu, Xuerong Shi, Haibo Jiang, Jianjiang Yu, Liping Zhang, Lizhou Zhuang and Zuolei Wang

Dynamics of competing public sentiment contagion in social networks incorporating higher-order interactions during the dissemination of public opinion

Ning Ma, Guang Yu and Xin Jin

The universal probabilistic reward based on the difference of payoff realizes the evolution of cooperation

Tetsushi Ohdaira

A two-stage Duffing equation-based oscillator and stochastic resonance for mechanical fault diagnosis

Jiawei Xiang, Jianchun Guo and Xiaoqi Li

Two-time-scale stochastic functional differential equations with wideband noises and jumps

Yuanyuan Liu and Zhexin Wen

An efficient branch and bound reduction algorithm for globally solving linear fractional programming problems

Bingdi Huang and Peiping Shen

Exploring social networks through stochastic multilayer graph modeling

Mohammad Mehdi Daliri Khomami, Mohammad Reza Meybodi and Alireza Rezvanian

HMSL: Source localization based on higher-order Markov propagation

Chang Gong, Jichao Li, Liwei Qian, Siwei Li, Zhiwei Yang and Kewei Yang

Phase trajectories and Chaos theory for dynamical demonstration and explicit propagating wave formation

Karmina K. Ali, Waqas Ali Faridi and Sibel Tarla

Complexity enhancement and grid basin of attraction in a locally active memristor-based multi-cavity map

Qianhan Zhao, Han Bao, Xi Zhang, Huagan Wu and Bocheng Bao

Magnetization reversal phenomenon of higher-order lump and mixed interaction structures on periodic background in the (2+1)-dimensional Heisenberg ferromagnet spin equation

Xiao-Qi Cui, Xiao-Yong Wen and Zai-Dong Li

Application of the Mittag-Leffler kernel in stochastic differential systems for approximating the controllability of nonlocal fractional derivatives

Hasanen A. Hammad and Maryam G. Alshehri

Correlation-enhanced viable core in metabolic networks

Mi Jin Lee, Sudo Yi and Deok-Sun Lee

Dynamic snap-through motion and chaotic attractor of electrostatic shallow arch micro-beams

Ayman M. Alneamy

A novel higher-order Deffuant–Weisbuch networks model incorporating the Susceptible Infected Recovered framework

Yuxin Xu and Fei Gao

A rumor propagation model in multilingual environment with time and state dependent impulsive control

Shuzhen Yu, Zhiyong Yu and Haijun Jiang

The universality of physical images at relative timescales on multiplex networks

Xin Chang, Chao-Ran Cai, Ji-Qiang Zhang and Wen-Li Yang

Stochastic dynamic effects of media coverage and incubation on a distributed delayed epidemic system with Lévy jumps

Chao Liu, Yilin Tian, Peng Chen and Lora Cheung

Rainfall dynamics in an ecologically vulnerable area using applied algebraic topology methods

Miroslav Andjelković, Slobodan Maletić, Tatijana Stosic and Borko Stosic

Lump, periodic, travelling, semi-analytical solutions and stability analysis for the Ito integro-differential equation arising in shallow water waves

Fazal Badshah, Kalim U. Tariq, Ahmet Bekir, R. Nadir Tufail and Hamza Ilyas

Allee effect and hunting-induced bifurcation inquisition and pattern formation in a modified Leslie–Gower interacting species system

Pallav Jyoti Pal, Gourav Mandal, Lakshmi Narayan Guin and Tapan Saha

Scenarios for the appearance of strange attractors in a model of three interacting microbubble contrast agents

Ivan Garashchuk, Alexey Kazakov and Dmitry Sinelshchikov

Internal dynamics of a polaron uniformly moving along a molecular chain in a constant electric field

A.N. Korshunova and V.D. Lakhno

A heteroscedastic Bayesian generalized logistic regression model with application to scaling problems

Jack Sutton, Golnaz Shahtahmassebi, Quentin S. Hanley and Haroldo V. Ribeiro

Quasi-synchronization of heterogeneous neural networks with hybrid time delays via sampled-data saturating impulsive control

Wenjing Sun, Ze Tang, Jianwen Feng and Ju H. Park

Topologically protected metastable states in classical dynamics

Han-Qing Shi, Tian-Chi Ma and Hai-Qing Zhang

Approximate Noether theorem and its inverse for nonlinear dynamical systems with approximate nonstandard Lagrangian

Shi-Xin Jin, Xiang-Wei Chen and Yan-Min Li

Phase diagram in multi-phase heterogeneous traffic flow model integrating the perceptual range difference under human-driven and connected vehicles environment

Cong Zhai, Kening Li, Ronghui Zhang, Tao Peng and Changfu Zong

Biphasic action potentials in an individual cellular neural network cell

Huagan Wu, Jinxiang Gu, Yixuan Guo, Mo Chen and Quan Xu

A fractional-order hyperchaotic system that is period in integer-order case and its application in a novel high-quality color image encryption algorithm

Shaohui Yan, Defeng Jiang, Yu Cui, Hanbing Zhang, Lin Li and Jiawei Jiang

Exponential synchronization of a class of quaternion-valued neural network with time-varying delays: A Matrix Measure Approach

Sapna Baluni, Ishani Sehgal, Vijay K. Yadav and Subir Das

An averaging result for fractional variable-order neutral differential equations with variable delays driven by Markovian switching and Lévy noise

Seyfeddine Moualkia, Yang Liu, Jianlong Qiu and Jianquan Lu

Wave reflection in a semiconductor nonlocal medium using temperature rate-dependent theory

Iffat Sharif, Muhammad Jamal, Hashmat Ali and Ehtsham Azhar

Study of a cannibalistic prey–predator model with Allee effect in prey under the presence of diffusion

Sajan,, Anshu, and Balram Dubey

Hopf-bifurcation of a two delayed social networking game addiction model with graded infection rate

Khalid Ali Khan, B.S.N. Murthy, V. Madhusudanan, M.N. Srinivas and Anwar Zeb

Coevolution of cognition and cooperation in structured populations under reinforcement learning

Rossana Mastrandrea, Leonardo Boncinelli and Ennio Bilancini

A joint image encryption based on a memristive Rulkov neuron with controllable multistability and compressive sensing

Yongxin Li, Chunbiao Li, Yaning Li, Irene Moroz and Yong Yang

Pinning synchronization of multiple fractional-order fuzzy complex-valued delayed spatiotemporal neural networks

Kai Wu, Ming Tang, Zonghua Liu, Han Ren and Liang Zhao

Stability and complexity evaluation of attractors in a controllable piezoelectric Fitzhugh-Nagumo circuit

Guodong Huang, Shu Zhou, Rui Zhu, Yunhai Wang and Yuan Chai

The Allen–Cahn model with a time-dependent parameter for motion by mean curvature up to the singularity

Junxiang Yang, Dongsun Lee, Soobin Kwak, Seokjun Ham and Junseok Kim

Intersections of the pieces of self-similar dendrites in the plane

Klara Allabergenova, Mary Samuel and Andrei Tetenov

Option pricing in the illiquid markets under the mixed fractional Brownian motion model

Pengcheng Ma, Mehran Taghipour and Carlo Cattani

Tiling iterated function systems

Louisa F. Barnsley, Michael F. Barnsley and Andrew Vince

Mixed localized matter wave solitons in Bose–Einstein condensates with time-varying interatomic interaction and a time-varying complex harmonic trapping potential

Emmanuel Kengne and WuMing Liu

Dynamically selected steady states and criticality in non-reciprocal networks

Carles Martorell, Rubén Calvo, Alessia Annibale and Miguel A. Muñoz

Investigating the dynamics, synchronization and control of chaos within a transformed fractional Samardzija–Greller framework

Arkaprovo Chakraborty and P. Veeresha

Based on hypernetworks and multifractals: Deep distribution feature fusion for multidimensional nonstationary time series prediction

Yuewen Shen, Lihong Wen and Chaowen Shen

Resonance response and chaotic analysis for an irrational pendulum system

Ning Han, Hanfang Zhang, Peipei Lu and Zixuan Liu

Comment on “Weierstrass and Jacobi elliptic, bell and kink type, lumps, Ma and Kuznetsov breathers with rogue wave solutions to the dissipative nonlinear Schrödinger equation”

Emmanuel Kengne

Dynamic event-triggered adaptive tracking control for stochastic nonlinear systems with deferred time-varying constraints

Dong-Mei Wang, Yu-Qun Han, Li-Ting Lu and Shan-Liang Zhu

Spatial optical soliton cluster solutions in strongly nonlocal nonlinear media

S.-F. Wang

Non-Markovian dynamics of time-fractional open quantum systems

Dongmei Wei, Hailing Liu, Yongmei Li, Linchun Wan, Sujuan Qin, Qiaoyan Wen and Fei Gao

Global dynamics and threshold control of a discontinuous fishery ecological system

Wenjie Li, Yajuan Guan, Jinde Cao and Fei Xu

A general method for constructing high-dimensional chaotic maps with topological mixing on the global phase space

Yu Zeng, Hanping Hu and Yan Shuai

Oscillations in a Josephson junction lattice stimulated by a common load

A.L. Pankratov, L.S. Revin, E.V. Pankratova and S.V. Shitov

Is there a user-friendly building unit to replicate rhythmic patterns of CPG systems? Synchrony transition and application of the delayed bursting-HCO model

Zigen Song, Fengchao Ji and Jian Xu

Superquadraticity and its fractional perspective via center-radius cr-order relation

Dawood Khan and Saad Ihsan Butt

Complex dynamics in a singularly perturbed Hastings–Powell model with the additive Allee effect

Yuhang Wu and Mingkang Ni

Relational generalized iterated function systems

Izabella Abraham, Radu Miculescu and Alexandru Mihail

A mathematical framework for shortest path length computation in multi-layer networks with inter-edge weighting and dynamic inter-edge weighting: The case of the Beijing bus network, China

Jinling Yang, Zhiwei Chen, Regino Criado and Shenggui Zhang

Study of magnetic fields using dynamical patterns and sensitivity analysis

Adil Jhangeer and Beenish,

Adaptive continuous barrier function-based super-twisting global sliding mode stabilizer for chaotic supply chain systems

Mohammadreza Askari Sepestanaki, Hamidreza Rezaee, Mohammad Soofi, Hossein Fayazi, Seyed Hossein Rouhani and Saleh Mobayen

Interaction-produced vector vortex chaoticons in nonlocal nonlinear media

Jun-Jie Li and Hui-Cong Zhang

Directed transport of two-coupled particles under the coordination of the coupling and an asymmetric potential

Peng-Juan Zhang, Ji-Qiang Zhang, Peng Wang, Jie Huo and Xu-Ming Wang

Swarm intelligence for protecting sensitive identities in complex networks

Jie Zhao, Zhen Wang, Dengxiu Yu, Jinde Cao and Kang Hao Cheong

Dimensionality reduction of networked systems with separable coupling-dynamics: Theory and applications

Chengyi Tu, Ying Fan and Tianyu Shi

Bifurcations of a Filippov ecological system with an A-type discontinuity boundary

Yuxun Zhu, Zhengdi Zhang and Jinchen Ji

On fixed-time interlayer synchronization of two-layer multiweighted complex dynamic networks: An economic and practical non-chattering adaptive control approach

Jinyao Shi, Peipei Zhou and Shuiming Cai

Exponentially weighted input-to-state stability of stochastic differential systems via event-triggered impulsive control

Mingli Xia, Linna Liu, Jianyin Fang and Boyang Qu

Inferring the connectivity of coupled oscillators from event timing analysis

Raul P. Aristides, Hilda A. Cerdeira, Cristina Masoller and Giulio Tirabassi

Enhanced mobility of quantum droplets in periodic lattices

Yaroslav V. Kartashov and Dmitry A. Zezyulin

Dynamics of two coupled van der Pol–Mathieu oscillators

Ibadulla R. Ramazanov, Ivan A. Korneev, Tatiana E. Vadivasova and Andrei V. Slepnev

Modified equivalent input disturbance estimator-based active disturbance rejection for fractional-order T-S fuzzy stochastic systems

S. Mohanapriya, C. Antony Crispin Sweety, T. Satheesh, R. Sakthivel and O.M. Kwon

From breather solitons to chaos in an ultrafast laser: The scenario of cascading short and long-period pulsations

Xunbo Zhang, Defeng Zou, Runmin Liu, Jinqian Lv, Minglie Hu, Perry Ping Shum and Youjian Song

Core expansion and spiral breakup in oscillatory recovering media

Haidar Sabbagh

A delay-disturbance method to counteract the dynamical degradation of digital chaotic systems and its application

Binglun Li, Kehui Sun, Huihai Wang and Wenhao Liu

Explaining Parkinsonian postural instability using an improved intermittent control model

Wei Bao and Kai Chen

Analytical results on the existence of periodic orbits and canard-type invariant torus in a simple dissipative oscillator

Marcelo Messias and Murilo R. Cândido

Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation

Jiguang Rao, Dumitru Mihalache, Fang Zhou, Jingsong He and Sheng-An Chen

Resolution of similar patterns in a solvable model of unsupervised deep learning with structured data

Andrea Baroffio, Pietro Rotondo and Marco Gherardi

High-quality community detection in complex networks based on node influence analysis

Zhi-Yong Wang, Cui-Ping Zhang and Rebaz Othman Yahya

Extending dynamic memory of spiking neuron networks

Vladimir V. Klinshov, Andrey V. Kovalchuk, Igor A. Soloviev, Oleg V. Maslennikov, Igor Franović and Matjaž Perc

Fingerprint pattern bi-turbulence in a driven dissipative optical system

P.J. Aguilera-Rojas, M.G. Clerc, S. Echeverría-Alar, Y. Soupart and M. Tlidi

A Fast Spatial-temporal Information Compression algorithm for online real-time forecasting of traffic flow with complex nonlinear patterns

Zhihao Xu, Zhiqiang Lv, Benjia Chu and Jianbo Li

Nonlinear Rayleigh-Bénard magnetoconvection of a weakly electrically conducting Newtonian liquid in shallow cylindrical enclosures

P.G. Siddheshwar, Arshika S. Noor, Sameena Tarannum and D. Laroze

Herglotz-type vakonomic dynamics and Noether theory of nonholonomic systems with delayed arguments

Li-Qin Huang and Yi Zhang

On the generalized time fractional reaction–diffusion equation: Lie symmetries, exact solutions and conservation laws

Jicheng Yu and Yuqiang Feng

Coherent manipulation of vectorial soliton beam in sodium like atomic medium

Bakht Amin Bacha, Saeed Ahmad, Rashid Ahmad and Iftikhar Ahmad

Network reciprocity and inequality: The role of additional mixing links among social groups

Wei Zhang

Cooperation and resource sustainability in coupling social-ecological systems with dynamic growth rates

Lichen Wang, Yuyuan Liu, Ruqiang Guo, Liang Zhang, Linjie Liu and Shijia Hua

Evolution of pitchfork bifurcation in a tabu learning neuron model and its application in image encryption

Jie Zhu, Fuhong Min, Songtao Yang and Wei Shi

3D partially nonlocal ring-like Kuznetsov-Ma and Akhmediev breathers of NLS model with different diffractions under a linear potential

Hong-Yu Wu and Li-Hong Jiang

Exploring diverse trajectory patterns in nonlinear dynamic systems

Alžběta Lampartová and Marek Lampart

Higher-order-interaction in multiplex neuronal network with electric and synaptic coupling

Arpit Singh, Umesh Kumar Verma, Ajay Mishra, Kiran Yadav, Amit Sharma and Vaibhav Varshney

Novel robust characteristic for the flat-top bright wave in PT-symmetric higher-order Gross–Pitaevskii equation

Li Li, Fajun Yu and Jiefang Zhang

Analysis of complex time series based on EEMD energy entropy plane

Shujia Wang, Zhuojin Yang, Xin Zheng and Zhuang Ma

Stationary distribution and bifurcation analysis for a stochastic SIS model with nonlinear incidence and degenerate diffusion

Lei Wang, Chunjie Gao, Ramziya Rifhat, Kai Wang and Zhidong Teng

The whale optimization algorithm and the evolution of cooperation in the spatial public goods game

Jalal Eddine Bahbouhi, Abdelali Elkouay, Saif Islam Bouderba and Najem Moussa

Approximate controllability for a class of stochastic impulsive evolution system with infinite delay involving the fractional substantial derivative

Weihao Chen, Yansheng Liu and Daliang Zhao

New dynamical system for circular satellites relative motion

Elbaz I. Abouelmagd, A.A. Alshaery and Fabao Gao

Breather wave solutions for an integrable (3+1)-dimensional combined pKP–BKP equation

Abdul-Majid Wazwaz

Multi-vortex beams in nonlinear media with harmonic potential wells

Qing Wang, Liangliang Zhou, Junying Zhu and Jun-Rong He