Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

From Elsevier
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2025, volume 191, articles C

Optimizing Physics-Informed Neural Networks with hybrid activation functions: A comparative study on improving residual loss and accuracy using partial differential equations

Husna Zafar, Ahmad,, Xiangyang Liu and Muhammad Noveel Sadiq

TD-GCN: A novel fusion method for network topological and dynamical features

Xiang Xu, Wei Yang, Lingfei Li, Xianqiang Zhu, Junying Cui, Zihan Zhang and Leilei Wu

From experimental phenomena to computational models: Exploring the synchronization mechanisms of phase-locked stimulation in the hippocampal–thalamic–cortical circuit for memory consolidation

Denggui Fan, Jin Chen, Songan Hou, Zhengyong Song, Gerold Baier and Qingyun Wang

Regulation of thermal transport by cycle structures in complex networks

Kezhao Xiong, Hang Dong, Yuqi Liu, Man Zhou and Wei Liu

Quantifying and predicting evolutionary networks

Fei Jing, Zhong Zhang, Jian-Liang Wu, Die Hu and Zi-Ke Zhang

The fractional nonlinear magnetoinductive impurity

Mario I. Molina

Influential node detection in multilayer networks via fuzzy weighted information

Mingli Lei, Lirong Liu, Aldo Ramirez-Arellano, Jie Zhao and Kang Hao Cheong

Analysis of pre-El Niño and La Niña events using climate network approach

Ruby Saha and Dibakar Ghosh

Viscoelastic Kelvin–Voigt model on Ulam–Hyer’s stability and T-controllability for a coupled integro fractional stochastic systems with integral boundary conditions via integral contractors

Dimplekumar Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan and Ravikumar Kasinathan

Amenable metric mean dimension and amenable mean Hausdorff dimension of product sets and metric varying

Xianqiang Li and Xiaofang Luo

Metrical properties of products formed by consecutive partial quotients in Lüroth expansions

Yan Feng and Fuming Jiang

Dynamic analysis of an HIV model with CTL immune response and logarithmic Ornstein–Uhlenbeck process

Qiuyue Dong, Yan Wang and Daqing Jiang

Evolution of Turing patterns of a predator–prey system with variable carrying capacity and harvesting

Lakpa Thendup Bhutia, Samir Biswas, Esita Das, Tapan Kumar Kar and Bidhan Bhunia

Self-organized circling, clustering and swarming in populations of chiral swarmalators

Yichen Lu, Yixin Xu, Wanrou Cai, Zhuanghe Tian, Jie Xu, Simin Wang, Tong Zhu, Yali Liu, Mengchu Wang, Yilin Zhou, Chengxu Yan, Chenlu Li and Zhigang Zheng

Government response, individual decision-making, and disease spreading: Insights from a game-epidemic dynamics model

Hanqi Zhang, Zhongkui Sun, Nannan Zhao and Yuanyuan Liu

Global ordinal pattern attention entropy: A novel feature extraction method for complex signals

Runze Jiang, Pengjian Shang and Yi Yin

Robust PID sliding-surface control for nonholonomic pendulum-driven spherical robots in the presence of nonlinear perturbations and uncertainty shocks

Fawaz E. Alsaadi and Stelios Bekiros

Assessing the vulnerability of empirical infrastructure networks to natural catastrophes

Tomas Scagliarini, Oriol Artime and Manlio De Domenico

Nonlinear pitch oscillation and control of a gravitational stabilized sailcraft perturbed by solar pressure torque

Lu Liu, Junwei Luo, Weiwei Wang, Shuqi Gao, Junsheng Li and Jiafu Liu

Finite dimensional Hamiltonian systems and the algebro-geometry solution of the nonlocal reverse space–time sine-Gordon equation

Liang Guan, Xianguo Geng, Dianlou Du and Xue Geng

The impact of heterogeneous dependency strength on the robustness of multi-layer networks

Chaoyang Zhang, Liang Gao and J.F.F. Mendes

Reconstruction of neuromorphic dynamics from a single scalar time series using variational autoencoder and neural network map

Pavel V. Kuptsov and Nataliya V. Stankevich

Dynamical behavior of chirped periodic and self-similar solitary waves in a nonlocal nonlinear saturable media

Biren Karmakar, Niladri Ghosh and Amiya Das

Elastic interaction of second-order rogue matter waves for the modified Gross–Pitaevskii equation with time-dependent trapping potential and gain/loss

Cyrille Edgard Nkenfack, Olivier Tiokeng Lekeufack, Fabien Kenmogne, René Yamapi and Emmanuel Kengne

A simplified Parisi Ansatz II: Random Energy Model universality

Simone Franchini

Closed-form solutions of the nonlinear Schrödinger equation with arbitrary dispersion and potential

Andrei D. Polyanin and Nikolay A. Kudryashov

Time periodic travelling waves for an advection–reaction–diffusion SIR epidemic model with seasonality and bilinear incidence

Xibei Jiang and Weixin Wu

Ultimate boundedness and estimation of tick population system with non-linear delayed Gamma-Ricker function and stochastic perturbation

Xingzhi Chen

On an impulsive faecal-oral model in a periodically evolving environment

Qi Zhou, Zhigui Lin and Carlos Alberto Santos

Exact solutions of the harmonically confined Vicsek model

L.L. Bonilla and R. González-Albaladejo

A cascade model for the robustness of patient-sharing networks

Tao Yang, Wenbin Gu, Lanzhi Deng, Anbin Liu, Qi Wu, Zihan Zhang, Yanling Ni and Wei Wang

Anisotropy of free-surface wave turbulence induced by a horizontal magnetic (electric) field

E.A. Kochurin

Diversified dynamic effects and their order origins in Boolean functions

Yuxiang Yao, Zi-Gang Huang and Duanqing Pei

Dynamically controllable two-color electromagnetically induced grating via spatially modulated inelastic two-wave mixing

Zhen-Yu Shi, Yao-Long Xie, Chenjie Dai, Tao Shui and Wen-Xing Yang

Synergy effect of strategy diversity and persistence promotes cooperation

Linya Huang, Liming Zhang, Changwei Huang and Wenchen Han

Stochastic heat engine acting like a weakly nonlinear wave ensemble

Chi-Fai Lo, Yeontaek Choi and Sergey Nazarenko

The stability and collision dynamics of quantum droplets in PT-symmetric optical lattices

Juncheng Hu, Hongcheng Wang, Guihua Chen and Qingmao Zhang

An optimal control problem for a predator–prey model with strong and weak preys

Paulo Rebelo and Silvério Rosa

A mathematical model for biological motor learning based on synaptic dynamics

Yuhao Shen and Qi Yang

Stochastic analysis of a HBV epidemic model with two-dimensional noises

Qi Liu, Yin Zhou, Jinyu Xia and Anwarud Din

Noise-induced chaos and generation of phantom attractors in a birhythmic neuron model

Lev Ryashko and Irina Bashkirtseva

New global exponential synchronization conditions for impulsive chaotic neural networks with multiple time-varying leakage and transmission delays: Applications for secure communications

Guangxun Chen, Yantao Wang and Xian Zhang

Development of a multidimensional centrality metric for ranking nodes in complex networks

Bo Meng and Amin Rezaeipanah

Numerical approximation and convergence to steady state solutions of a model for the dynamics of the sexual phase of Monogonont rotifera

Luis M. Abia, Óscar Angulo and Juan Carlos López-Marcos

Dynamical analysis of a prey-predator-tourist model: Environmental preferences and optimal fee control

Danilo Delpini, Roberta Melis and Paolo Russu

Elimination of reentry spiral waves using adaptive optogenetical illumination based on dynamic learning techniques

Qianming Ding, Yipeng Hu, Yong Wu, Xueyan Hu, Ya Jia and Lijian Yang

Chimera state in neural network with the Proportional–Integral–Derivative coupling

Adamdine M. Abdoulaye, Venceslas Nguefoue Meli, Steve J. Kongni, Thierry Njougouo and Patrick Louodop

Effect of heterogeneities in two-populations of globally coupled phase oscillators with higher-order interaction

Rumi Kar, V.K. Chandrasekar and D.V. Senthilkumar

Platoon or individual: An adaptive car-following control of connected and automated vehicles

Fang Zong, Sheng Yue, Meng Zeng, Zhengbing He and Dong Ngoduy

On the evolution and importance of the Fibonacci sequence in visualization of fractals

Saurabh Sharma, Anita Tomar and Sanjay Kumar Padaliya

Generalized separable solutions for (2+1) and (3+1)-dimensional m-component coupled nonlinear systems of PDEs under three different time-fractional derivatives

P. Prakash, K.S. Priyendhu and M. Lakshmanan

Dynamic behavior of variable mass R4BP with radiating and oblate primaries

Bao Ma and Fabao Gao

Vortex molecules in a spin–orbit-coupled spin-1 condensate

Yong-Kai Liu, Ying-Feng Gao, Ning Yue and Shi-Jie Yang

On the criticality of a disordered ferromagnets’ model at 3D lattices with low coordination number

Svetislav Mijatović, Sanja Janićević and Djordje Spasojević

Stochastic behavior of random telegraph noise in ferroelectric devices: Impact of downscaling and mitigation strategies for neuromorphic applications

Ryun-Han Koo, Wonjun Shin, Sung-Tae Lee, Daewoong Kwon and Jong-Ho Lee

Dynamical analysis, multi-cavity control and DSP implementation of a novel memristive autapse neuron model emulating brain behaviors

Hongli Cao, Yinghong Cao, Lei Qin and Jun Mou

Stable fractional vortex solitons in a ring potential

Lifen Yan, Dong Zhang and Haiyong Zhu

Unraveling the transmission mechanism of animal disease: Insight from a stochastic eco-epidemiological model driven by Lévy jumps

Zhuoying Zhao and Xinhong Zhang

Exploring the regime shifts of dryland vegetation under climate change: A case study of the Altay, Xinjiang

Chen Liu, Yi-Zhi Pang, Qiang Xue, Li Li and Xiaofeng Luo

Predefined-time consensus tracking control for multi-agent systems with full-state constraints

Zhihong Zhao, Feng Peng, Tong Wang, Jinyong Yu and Shuai Sui

Prediction and prevention of non-Markovian epidemic spreading in coupled system

Lun Ge, Yongshang Long, Ying Liu, Ming Tang and Shuguang Guan

Variable Kerr nonlinearity and optical bistability of a four-level lambda atomic medium

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

Nonlinear dynamics of CAR-T cell therapy

Artur C. Fassoni and Denis C. Braga

Oscillatory regimes and transition to chaos in a Darcy–Brinkman model under quasi-periodic gravitational modulation

Karam Allali

Exploring the equilibrium dynamics of an infinitesimal body in the perturbed problem of five bodies

Md Sanam Suraj, Elbaz I. Abouelmagd, Mani Bhushan and Md Chand Asique

Parallel optical chaos generation and ultrafast photonic decision-making based on a single quantum dot spin-VCSEL

Shuangquan Gu, Kun Li, Pei Zhou and Nianqiang Li

On the Lie symmetry analysis of three-dimensional perturbed shear flows

Sougata Mandal, Subhankar Sil and Sukhendu Ghosh

Learning the chaotic and regular nature of trajectories in Hamiltonian systems with Lagrangian descriptors

Javier Jiménez-López and V.J. García-Garrido

Nonlinear dynamics approach to urban scaling

A. Deppman, R.L. Fagundes, E. Megías, R. Pasechnik, F.L. Ribeiro and C. Tsallis

Balancing peer preference and payoff pursuit in migration shapes social cohesion within unequal endowment populations

Xiaoyue Wang, Zhixue He, Ju Chen, Mingjuan Zhang and Lei Shi

Exploring cognitive inertia in opinion dynamics using an activity-driven model

Samana Pranesh and Sayan Gupta

Nonreciprocal unconventional photon blockade via Barnett effect in a hybrid cavity magnonic system

Xu Deng, Kai-Kai Zhang, Tong Zhang, Tao Shui and Wen-Xing Yang

Reflection and transmission solitons via high magneto optical medium

Imdad Ullah, Abdul Majeed, Amir Ali and Zareen A. Khan

New algorithms for the approximation of fixed points and fractal functions

M.A. Navascués

Nonequilibrium dynamics in a noise-induced predator–prey model

Swadesh Pal, Malay Banerjee and Roderick Melnik

System of telegraph particles with finite moments of the first collision instant of particles

Anatoliy A. Pogorui and Ramón M. Rodríguez-Dagnino

A van der Pol-like complementary chaotic oscillator: Design, physical realizations, dynamics, and physiological data augmentation prospect

Joakim Vianney Ngamsa Tegnitsap, Zeric Tabekoueng Njitacke, Chiara Barà, Théophile Fonzin Fozin, Hilaire Bertrand Fotsin, Pedro Antonio Valdes-Sosa, Natsue Yoshimura and Ludovico Minati

Investigating the radiative heat transfer analysis of magnetized Cross fluid flow capturing variable properties around paraboloid surface using artificial intelligence stochastic approach

Yabin Shao, Zohaib Arshad, Neyara Radwan, Zahoor Shah, Muhammad Asif Zahoor Raja, Saja Mohammad Almohammadi and Waqar Azeem Khan

Insights into infectious diseases with horizontal and environmental transmission: A stochastic model with logarithmic Ornstein–Uhlenbeck process and nonlinear incidence

Xiaohu Liu, Hong Cao and Lin-Fei Nie

Dynamic analysis of coupled Hindmarsh-Rose neurons with enhanced FPGA implementation

Jiakai Lu, Fuhong Min, Linghu Gan and Songtao Yang

Existence and stability of pth Weyl almost automorphic solutions in distribution for neutral stochastic FDEs

Xiaohui Wang and Xianlong Fu

Time-delay neural network observer-based adaptive finite-time prescribed performance control for nonlinear systems with unknown time-delay

Yuzhuo Zhao and Dan Ma

A parasitic model between Haloxylon ammodendron and Cistanche deserticola under harvesting pressure

Dingyong Bai and Huihua Zhang

Multilayer network framework and metrics for table tennis analysis: Integrating network science, entropy, and machine learning

Honglin Song, Yutao Li, Pengyu Pan, Bo Yuan and Tianbiao Liu

Simplest transistor-based chaotic circuit with extreme events: Statistical characterization, synchronization, and analogy with interictal spikes

Léandre Kamdjeu Kengne, Vitrice Ruben Folifack Signing, Davide Rossi Sebastiano, Raoul Blaise Wafo Tekam, Joakim Vianney Ngamsa Tegnitsap, Manyu Zhao, Qingshi Bao, Jacques Kengne, Pedro Antonio Valdes-Sosa and Ludovico Minati

Propagation dynamics of multipole solitons and influence of fractional diffraction effect on solitons in II-type Dirac photonic lattices

Da-Sheng Mou, Jia-Hao Zhang, Yun-Hao Jia and Chao-Qing Dai

Stochastic pumping of nonlinear modulated waves

Natalia V. Kuznetsova, Denis V. Makarov, Alexey V. Slunyaev and Efim N. Pelinovsky

Estimation and improvement of the performance of a bistable vibration energy harvester with geometric nonlinearities

Weiting Miao and Huilin Shang

Multi-modal self-sustained motions of a silicone oil paper disc on a surface driven by hot steam

Jun Zhao, Zhongrui Zhang, Xiaodie Sun, Wei Zuo and Kai Li

Modeling HIV/AIDS with the effect of screening in India: A stochastic sex-structured approach incorporating logarithmic mean-reverting Ornstein–Uhlenbeck process

T.A. Midhun and K. Murugesan

On the evolution equations of velocity field gradient tensor invariants in different turbulent heliospheric regions

Virgilio Quattrociocchi, Giuseppe Consolini, Massimo Materassi, Andrea Verdini and Emanuele Papini

Mechanics of light-fueled bidirectional self-rolling in a liquid crystal elastomer rod on a track

Haiyang Wu, Dali Ge, Yunlong Qiu, Kai Li and Peibao Xu

Multi-feature fusion for the evaluation of strategic nodes and regional importance in maritime networks

Shu Guo, Jing Lyu, Xuebin Zhu and Hanwen Fan

Population and within-host dynamics of biological systems

Carla M.A. Pinto, Maíra Aguiar, Ganna Rozhnova and Alberto D'Onofrio

Two-memristor-based maps with infinitely many hyperchaotic attractors

Iram Hussan, Manyu Zhao and Xu Zhang

Design and dynamic analysis of a class of new 3-D discrete memristive hyperchaotic maps with multi-type hidden attractors

Chunlei Fan and Qun Ding

Dynamics by control strategies targeting the effective reproduction number

Ferenc A. Bartha and Gergely Röst

HTSC Josephson oscillator with inhomogeneous bias

L.S. Revin, A.L. Pankratov, A.E. Parafin, D.V. Masterov, S.A. Pavlov and A.V. Blagodatkin

A finite element simulation study for exploring the impact of nanolayer, nanoparticle diameter, Coriolis force, and quadratic convective in water-based fluid via microgravity environment

Feng Pan, Bagh Ali, Imran Siddique, Rifaqat Ali, Shan Ali Khan, Ahmed Kadhim Hussein and Huizhu Yang

A statistical and modeling study on the effects of radiation on Au/Ta/ZrO2(Y)/Pt/Ti memristive devices

D. Maldonado, A. Cantudo, D.V. Guseinov, M.N. Koryazhkina, E.V. Okulich, D.I. Tetelbaum, N.O. Bartev, N.G. Danchenko, V.A. Pikar, A.V. Teterevkov, F. Jiménez-Molinos, A.N. Mikhaylov and J.B. Roldán

Improved memory and synaptic device performance of HfO2-based multilayer memristor by inserting oxygen gradient TiOx layer

Jihee Park, Heeseong Jang, Yongjin Byun, Hyesung Na, Hyeonseung Ji and Sungjun Kim

Dynamics of AMR beyond a single bacterial strain: Revealing the existence of multiple equilibria and immune system-dependent transitions

Jhoana P. Romero-Leiton, Alissen Peterson, Pablo Aguirre, Carlos Bastidas-Caldes and Bouchra Nasri

Gaussian Process Phase Interpolation for estimating the asymptotic phase of a limit cycle oscillator from time series data

Taichi Yamamoto, Hiroya Nakao and Ryota Kobayashi

Resilience prediction and tipping point control of multilayer ecological networks based on dimensionality reduction method

Dongli Duan, Xingjie Zhao, Zhiqiang Cai and Ning Wang

Pattern transition and bifurcation analysis of ELU-type memristive FitzHugh-Nagumo neuron

Wu Xiao, Fuhong Min, Jiakai Lu and Hailong Huo

Unraveling metro mobility patterns in China: A multi-city comparative study using travel motifs and entropy analysis

Shixin Chang, Liang Gao, Chaoyang Zhang, Ting Yu, Xiao Han, Bingfeng Si and Jose F.F. Mendes

Vegetation coverage variability and its driving factors in the semi-arid to semi-humid transition zone of North China

Huimin Bai, Zhiqiang Gong, Li Li, Junjie Ma and Muhammad Mubashar Dogar

Research on synchronization in a Josephson junction-memristor system with dual capacitive membranes

Zhenpu Liu, Shu Zhou, Rui Zhu, Guodong Huang and Yuan Chai

The emergence of multi-scroll chaotic rotating waves in a ring of threshold controller based coupled non-autonomous chaotic oscillators

P. Yogamarish and I. Raja Mohamed

Contagion dynamics on growing simplicial complex networks via generalized degree vectors

Tianjiao Long, Lilan Tu, Juan Chen, Xianjia Wang and Yifei Guo

Fractional-order adaptive sliding mode control based on predefined-time stability for chaos synchronization

Mengjiao Zhang, Hongyan Zang and Zhongxin Liu

Impact of pump power on Lyot filtering effect in mode-locked fiber lasers

Luyao Zhou, Lie Liu, Ying Han, Honglin Wen, Yingying Li, Qi Li, Chunyang Ma, Ge Wu and Bo Gao

On the group-theoretical approach to energy quantization of a perturbed vortex ring: Spectrum calculating in the pipe-type domain

S.V. Talalov

Unbiased evacuations processes using a reinforcement learning approach

Nikolas N. Encina, Sebastian C. Carrasco, Max Ramirez, José Rogan and Juan Alejandro Valdivia

Conservation laws and exact solutions of a nonlinear acoustics equation by classical symmetry reduction

Almudena P. Márquez, Elena Recio and María L. Gandarias

Finite-size scaling of Landau–Ginzburg model for fractal time processes

Shaolong Zeng, Yangfan Hu, Shijing Tan and Biao Wang

Regression analysis for thermal transport of fractional-order magnetohydrodynamic Maxwell fluid flow under the influence of chemical reaction using integrated machine learning approach

Waqar Ul Hassan, Khurram Shabbir, Ahmed Zeeshan and Rahmat Ellahi

Interpretable link prediction

Hailu Tan, Yan Liu, Xinying Liu, Lianyu Hu and Zengyou He

Dual-channel triggered fuzzy adaptive output feedback control for uncertain nonlinear systems with deception attacks

Yaxin An, Yongchao Liu and Haiyu Wang

Bloch internal dynamics of a polaron uniformly moving in a constant electric field along molecular chains of various lengths

A.N. Korshunova and V.D. Lakhno

Asymptotic shallow water equations: Modeling and solutions

Mohammad Haidar and Carla Sayegh

Interdependent evolutionary dynamics of opinion and strategy on two-layer networks

Yizhou Yang, Haihong Li, Shun Gao, Qionglin Dai and Junzhong Yang

Asymptotic constancy for solutions of abstract non-linear fractional equations with delay and generalized Hilfer (a,b,α)-derivatives

Marko Kostić, Halis Can Koyuncuoğlu and Tuğçe Katıcan

Complexity analysis of challenges and speckle patterns in an Optical Physical Unclonable Function

Christos N. Veinidis, Marialena Akriotou, Alex Kondi, Efi-Maria Papia, Vassilios Constantoudis and Dimitris Syvridis

CPS-IoT-PPDNN: A new explainable privacy preserving DNN for resilient anomaly detection in Cyber-Physical Systems-enabled IoT networks

Yakub Kayode Saheed and Sanjay Misra

Application of modular and sparse complex networks in enhancing connectivity patterns of liquid state machines

Farideh Motaghian, Soheila Nazari, Reza Jafari and Juan P. Dominguez-Morales

Modeling of a light-fueled liquid crystal elastomer-steered self-wobbling tumbler

Haiyang Wu, Yunlong Qiu and Kai Li

Propagation of stochastic noise in complex network

Qitong Hu and Xiao-Dong Zhang

Design of fractional innate immune response to nonlinear Parkinson's disease model with therapeutic intervention: Intelligent machine predictive exogenous networks

Roshana Mukhtar, Chuan-Yu Chang, Muhammad Asif Zahoor Raja, Naveed Ishtiaq Chaudhary, Muhammad Junaid Ali Asif Raja and Chi-Min Shu

Regulatory characteristics of population density dynamics of forest insects and possible reasons for the observed narrow range of such characteristics

Vladislav Soukhovolsky, Anton Kovalev, Olga Tarasova and Viatcheslav Martemyanov

An efficient 2D hyper chaos and DNA encoding-based s-box generation method using chaotic evolutionary improvement algorithm for nonlinearity

Ali Murat Garipcan, Yılmaz Aydin and Fatih Özkaynak

Investigation of in vitro neuronal activity processing using a CMOS-integrated ZrO2(Y)-based memristive crossbar

M.N. Koryazhkina, A.V. Lebedeva, D.D. Pakhomova, I.N. Antonov, V.V. Razin, E.D. Budylina, A.I. Belov, A.N. Mikhaylov and A.A. Konakov

Phase transitions and spectral entropy of heterogeneous vehicles comprised of CAVs and HDVs in flux restriction scenarios

Can Jin, Li Qing, Meilan Zhu and Guanghan Peng