Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2024, volume 186, articles C

A variable-order fractional memristor neural network: Secure image encryption and synchronization via a smooth and robust control approach

Abdullah A. Al-Barakati, Fatiha Mesdoui, Stelios Bekiros, Sezgin Kaçar and Hadi Jahanshahi

Generalized periodicity and applications to logistic growth

Martin Bohner, Jaqueline Mesquita and Sabrina Streipert

Fractal pattern of δ-hydride with stress-state

Arpan Das

Social contagion on higher-order networks: The effect of relationship strengths

Fanshu Fang, Jing Ma, Yin-Jie Ma and Stefano Boccaletti

Pattern Formation and analysis of reaction–diffusion ratio-dependent prey–predator model with harvesting in predator

Nauman Ahmed, Muhammad Waqas Yasin, Dumitru Baleanu, Ovidiu Tintareanu-Mircea, Muhammad Sajid Iqbal and Ali Akgül

The influence of emotion with variable memory length on cooperation evolution in social dilemmas

Xiang Hu, Chuandong Li and Mingchen Huan

Online identification methods for a class of Hammerstein nonlinear systems using the adaptive particle filtering

Huan Xu, Ling Xu and Shaobo Shen

Analysis and comparison of four signal processing schemes for noise reduction in chaotic communication systems and application of LDPC code

Gang Zhang, Chaofan Li and Xinyu Xiong

Collective dynamics of adaptive memristor synapse-cascaded neural networks based on energy flow

Shaohua Zhang, Cong Wang, Hongli Zhang and Hairong Lin

ENIMNR: Enhanced node influence maximization through node representation in social networks

Pengcheng Wei, Jiahui Zhou, Bei Yan and Yushan Zeng

New integral inequalities for synchronous functions via Atangana–Baleanu fractional integral operators

Erhan Set, Ahmet Ocak Akdemi̇r and Ali̇ Karaoğlan

On α-fractal functions and their applications to analyzing the S&P BSE Sensex in India

Anuj Kumar, Shubham Kumar Verma and Salah Mahmoud Boulaaras

Stochastic artificial neuron based on Ovonic Threshold Switch (OTS) and its applications for Restricted Boltzmann Machine (RBM)

Seongil Im, JinGyeong Hwang, Jae-Seung Jeong, Hyejin Lee, Min Hyuk Park, Jeong Ho Cho, Hyunsu Ju and Suyoun Lee

Compound relaxation oscillations influenced by non-smooth bifurcations in a Filippov Langford system

Yi Zhang, Wenjie Zuo, Jin Song and Zhengdi Zhang

Suppressing modulation instability with reinforcement learning

N.I. Kalmykov, R. Zagidullin, O.Y. Rogov, S. Rykovanov and D.V. Dylov

Impact of individual activity on behavior adoption in complex networks: A two-layer generalized SAR model analysis

Liang'an Huo, Mengyu Pan and Yanhui Wei

Understanding post-angiogenic tumor growth: Insights from vascular network properties in cellular automata modeling

Juan Uriel Legaria-Peña, Félix Sánchez-Morales and Yuriria Cortés-Poza

Bifurcation and phase transitions in car-following model integrating driver's characteristic and speed limit on spiral slope roads

Guanghan Peng, Xinhai Li, Hailing Wang and Huili Tan

Implications of tristability on localization phenomena: A necking bifurcation’s tale

Edem Kossi Akakpo, Marc Haelterman, Francois Leo and Pedro Parra-Rivas

Incorporating reputation into reinforcement learning can promote cooperation on hypergraphs

Kuan Zou and Changwei Huang

Periodicity in the asymmetrical quartic map

Dariel M. Maranhão and Rene O. Medrano-T

Deriving weighted Newton-type inequalities for diverse function classes through Riemann–Liouville fractional integrals

Areej A. Almoneef, Abd-Allah Hyder and Hüseyin Budak

Quantum-dot spin-VCSELs subject to optical injection and feedback for flexible photonic millimeter wave generation

Zhenye Shen, Yu Huang, Pei Zhou, Penghua Mu, Xin Zhu and Nianqiang Li

Detection of different possible responses of a time-dependent nonlinear periodic chain with local and global potentials

A. Labetoulle, A. Ture Savadkoohi and E. Gourdon

Dynamics of a stochastic HBV infection model with general incidence rate, cell-to-cell transmission, immune response and Ornstein–Uhlenbeck process

Xinxin Su, Xinhong Zhang and Daqing Jiang

Effect of electric field chirality on the unpinning of chemical waves in the Belousov–Zhabotinsky reaction

Anupama Sebastian, Puthiyapurayil Sibeesh, S.V. Amrutha, Shreyas Punacha and T.K. Shajahan

Lévy noise-induced coherence resonance in neural maps

E. Rybalova, A. Ryabov, S. Muni and G. Strelkova

Light beams of the (3+1)D complex Ginzburg–Landau equation induced by the interaction between the external potential and higher-order nonlinearities

Eric Martial Signé, Alain Djazet, Laure Tiam Megne, Martin Djoko, Serge I. Fewo and Timoléon C. Kofané

Dynamics of quasi-one-dimensional quantum droplets in Bose–Bose mixtures

Sherzod R. Otajonov, Bakhram A. Umarov and Fatkhulla Kh. Abdullaev

Approximation and decomposition of attractors of a Hopfield neural network system

Marius-F. Danca and Guanrong Chen

Evolutionary dynamics of networked N-player trust games with exclusion strategy

Zhuo Liu, Juan Wang and Xiaopeng Li

Nonlinear discrete-time observers with Physics-Informed Neural Networks

Hector Vargas Alvarez, Gianluca Fabiani, Nikolaos Kazantzis, Ioannis G. Kevrekidis and Constantinos Siettos

Exploring threshold dynamics of a behavioral epidemic model featuring two susceptible classes and second-order jump–diffusion

Yassine Sabbar

Frequency switching leads to distinctive fast–slow behaviors in Duffing system

Jiahao Zhao, Hanyu Sun, Xiaofang Zhang, Xiujing Han, Meng Han and Qinsheng Bi

Critical slowing down in a real physical system

Mathias Marconi, Karin Alfaro-Bittner, Lucas Sarrazin, Massimo Giudici and Jorge Tredicce

Generating grid double-scroll attractors from magnetized SC-CNN and its application in image encryption

Hui Jin and Zhijun Li

Entropic uncertainty relation and entanglement of molecular dipoles in an electric field

Zuo-Yuan Zhang, Yu-Yan Fang, Jin-Fang Li, Jie-Ru Hu, Jin-Ming Liu, Zhaoxi Sun and Xinning Huang

Tracking problem of the Julia set for the SIS model with saturated treatment function under noise

Tongtao Liu and Yongping Zhang

Modeling and dynamics analysis of a novel fractional-order meminductive multi-stable chaotic circuit and its FPGA implementation

Chaojun Wu, Linhai Xiong and Ningning Yang

Bridge links induced remote synchronization in multiple connected star graphs

Ruohua Gao, Zhengqiang Lu and Zonghua Liu

Degradation assessment of an IGBT with recurrence analysis and Kalman filter based data fusion

Duygu Bayram Kara

Investigating the route to synchronization in real-world neuronal networks of autaptic photosensitive neurons

Shihong Dang, Atiyeh Bayani, Huaigu Tian, Zhen Wang, Fatemeh Parastesh and Fahimeh Nazarimehr

Distributed delayed impulsive control for μ-synchronization of multi-link structure networks with bounded uncertainties and time-varying delays of unmeasured bounds: A novel Halanay impulsive inequality approach

Hongguang Fan, Xijie Chen, Kaibo Shi and Hui Wen

Influential nodes identification based on hierarchical structure

Longyun Wang, Jianhong Mou, Bitao Dai, Suoyi Tan, Mengsi Cai, Huan Chen, Zhen Jin, Guiquan Sun and Xin Lu

Exponential stabilization of stochastic quantum systems based on time-delay noise-assisted feedback

Jie Wen and Fangmin Wang

An analytical treatment to spatially inhomogeneous population balance model

Saddam Hussain, Shweta, and Rajesh Kumar

Vector multipole solitons of fractional-order coupled saturable nonlinear Schrödinger equation

Tong-Zhen Xu, Jin-Hao Liu, Yue-Yue Wang and Chao-Qing Dai

Bifurcation and chaotic patterns of the solitary waves in nonlinear electrical transmission line lattice

Alphonse Houwe, Souleymanou Abbagari, Lanre Akinyemi, Serge Yamigno Doka, Ahmed Sayed M. Metwally and Hijaz Ahmad

Stick-slip vibration analysis of a coupling drilling-rock system with two delays and one delay-dependent coefficient

Lingxuan Li, Hongtu Hao, Xuesong Bai and Baoqiang Li

Unveiling the masks: Deception and reputation in spatial prisoner’s dilemma game

Kai Xie, Yaojun Liu and Tingjin Liu

The topological origin of the shape stability observed in angular distributions of the axially channeled protons

M. Ćosić, S. Petrović, Z. Siketić, M. Vićentijević and M. Jakšić

Delayed feedback active suspension control for chaos in quarter car model with jumping nonlinearity

Masahisa Watanabe, Awadhesh Prasad and Kenshi Sakai

Dynamics of non–identical coupled Chialvo neuron maps

A.P. Kuznetsov, Y.V. Sedova and N.V. Stankevich

Dynamical sensitivity on thermal fluctuations of torsional homogeneous and nonhomogeneous microsystems under the influence of Casimir and electrostatic torques: Nonlinear actuation towards chaotic motion

Z. Dadigiv, F. Tajik, A.A. Masoudi and G. Palasantzas

Floquet valley Hall edge solitons

Sergey K. Ivanov and Yaroslav V. Kartashov

A nonlinear breathing crack model for characterization of chaotic dynamics of damaged large-amplitude vibrating plates

Dayang Li, Maosen Cao, Emil Manoach and Minvydas Ragulskis

Chaos synchronization of two coupled map lattice systems using safe reinforcement learning

Jianpeng Ding, Youming Lei, Jianfei Xie and Michael Small

Dichromatic soliton molecule modeled by two cubic–quintic Ginzburg–Landau equations coupled with a cross phase modulation term

Si Luo, Yusheng Zhang, Xiankun Yao, Qiang Ling, Chenning Tao, Zuguang Guan, Daru Chen and Yudong Cui

The distributed fault diagnosis for nonlinear complex dynamical networks based on σ-detection criterion

Qian Dong, Wenying Yuan, Tianchi Tong and Jinsheng Sun

Characterization of Faraday patterns and spatiotemporal chaos in parametrically driven dissipative systems

L.I. Reyes, L.M. Pérez, L. Pedraja-Rejas, P. Díaz, J. Mendoza, J. Bragard, M.G. Clerc and D. Laroze

On the number of periodic points for expansive pseudogroups

Pablo D. Carrasco, Elias Rego and Jana Rodriguez Hertz

Routes to chaos and bistability in the Rypdal model with a parametric disturbance

Arnold A. Alvarez, Eduardo L. Brugnago and I.L. Caldas

Spatio-temporal dynamics in a delayed prey–predator model with nonlinear prey refuge and harvesting

Nawaj Sarif, Arjun Kumar, Anshu,, Sahabuddin Sarwardi and Balram Dubey

Homoclinic behavior around a degenerate heteroclinic cycle in a Lorenz-like system

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

Interacting with the farthest neighbor promotes cohesion and polarization in collective motion

Decheng Kong, Kai Xue and Ping Wang

The influence of the heterogeneities of social institutions and individuals’ tendency to establish social institutions on cooperation

Yao Zhang, Qing-Yi Hao, Jia-Li Qian, Chao-Yun Wu and Yan Bi

Multiple dynamics and Hamilton energy analysis of a simple chaotic and hyperchaotic 3D non-autonomous circuit

Yuman Zhang and Yuxia Li

Entangled hidden elephant random walk model

Abdessatar Souissi, Farrukh Mukhamedov, El Gheteb Soueidi, Mohamed Rhaima and Farzona Mukhamedova

Quantum-like behavior of an active particle in a double-well potential

Rahil N. Valani and Álvaro G. López

Three-dimensional solitons in fractional nonlinear Schrödinger equation with exponential saturating nonlinearity

Volodymyr M. Lashkin and Oleg K. Cheremnykh

Study on fractional-order coupling of high-order Duffing oscillator and its application

Guohui Li, Ruiting Xie and Hong Yang

Matrix centrality for annotated hypergraphs

E. Vasilyeva, I. Samoylenko, K. Kovalenko, Daniil Musatov, A.M. Raigorodskii and S. Boccaletti

Oscillatory nondegenerate solitons in spin–orbit coupled spin-1/2 Bose–Einstein condensates with weak Raman coupling

Fei-Yan Liu, Houria Triki and Qin Zhou

Symmetry breaking and dynamics of solitons in regular and parity-time-symmetric nonlinear coupler supported by fractional dispersion

Xueqing He, Yuanbo Zhai, Qiang Cai, Rujiang Li and Pengfei Li

Sheath plasma instability in inverted fireballs

Subham Dutta and Pralay Kumar Karmakar

Suppression of symmetry breaking bifurcation of solitons by fourth-order diffraction in a parity-time symmetric potential

Melis Turgut and İlkay Bakırtaş

1 D lattice optical trap via magneto-optical rotation in a bi-refringent medium

Nadia Boutabba, Ammara Qazi and Hazrat Ali

Evaluating the impact of swill-feeding on the control of African swine fever in China with a dynamic model

Juan Li, Junhui Zhang, Lu Gao, Bingxin Nie and Huaiping Zhu

On the interpretation of Caputo fractional compartmental models

Julia Calatayud, Marc Jornet and Carla M.A. Pinto

Impact of positive and negative information on epidemic spread in a three-layer network

Dun Han and Xin Wang

Structural prediction of super-diffusion in multiplex networks

Lluís Torres-Hugas, Jordi Duch and Sergio Gómez

Buildup of the periodic pulse evolution path and controllable steady-state operation in the cavity-dumped laser system

Yaoyao Qi, Zehua Liu, Hongwei Guo, Yu Zhang, Chaojian He, Song Yang, Hao Zheng, Zhenxu Bai, Yulei Wang, Dapeng Yan and Zhiwei Lu

Similarity solutions of the newly derived magnetic model with damping effect and inhomogeneous exchange parameter in saturated ferromagnetic films

Nardjess Benoudina and Nassim Bessaad

A new approach to constructing probability distributions of fractional counting processes

Nick Laskin

Upper bound on the generation rate for nondeterministic random bits in a chaotic laser system

Yuan Zhao, Pu Li, Hao Yuan, Chunyu Guo, K. Alan Shore, Yuwen Qin and Yuncai Wang

A unique self-driven 5D hyperjerk circuit with hyperbolic sine function: Hyperchaos with three positive exponents, complex transient behavior and coexisting attractors

Gayathri Vivekanandhan, Jean Chamberlain Chedjou, Kengne Jacques and Karthikeyan Rajagopal

Global dynamic analysis of a typical tristable piezoelectric energy harvester for performance enhancement

Diandian Cui and Huilin Shang

Exponential stability, T-controllability and optimal controllability of higher-order fractional neutral stochastic differential equation via integral contractor

Dimplekumar Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan and Ravikumar Kasinathan

Interbank network reconstruction enforcing density and reciprocity

Valentina Macchiati, Piero Mazzarisi and Diego Garlaschelli

Analysis of high-order singly nested mixed-mode oscillation bifurcations

Naohiko Inaba, Hidetaka Ito and Hideaki Okazaki

Dynamics, synchronization and analog circuit implementation of a discrete neuron-like map with pulsating spiral dynamics

Wanting Zhu, Kehui Sun, Huihai Wang, Longxiang Fu and Ludovico Minati

Heterogeneity-induced competitive firing dynamics in balanced excitatory-inhibitory spiking neuron networks

Jiajing Liu, Chang Liu and Zhigang Zheng

Time-varying parameters induced extreme events in Liénard systems and network

S. Leo Kingston

Prediction of symmetric and asymmetric solitons and model parameters for nonlinear Schrödinger equations with competing nonlinearities

Jun-Hang Jiang, Zhi-Zeng Si, Nikolay A. Kudryashov, Chao-Qing Dai and Wei Liu

Generalized (n,N−n)-fold Darboux transformation and localized waves for an integrable reduced spin Hirota-Maxwell-Bloch system in an erbium doped fiber

Shao-Hua Liu, Bo Tian and Xiao-Tian Gao

A simple model of global cascades in signed networks

Xingfu Ke, Youjin Wen, Hao Yu and Fanyuan Meng

Stationary and Oscillatory patterned solutions in three-compartment reaction–diffusion systems: Theory and application to dryland ecology

Giancarlo Consolo, Carmela Curró, Gabriele Grifó and Giovanna Valenti

Adaptive fuzzy backstepping secure control for incommensurate fractional order cyber–physical power systems under intermittent denial of service attacks

Amin Sharafian, Inam Ullah, Sushil Kumar Singh, Ahmad Ali, Habib Khan and Xiaoshan Bai

Adherence strategy based on evolutionary games in epidemic spreading

Meiling Xie, Ziyan Zeng, Yuhan Li and Minyu Feng

Earthquake activity as captured using the network approach

Yosef Ashkenazy, Ittai Kurzon and Eitan E. Asher

RBF-ARX model-based predictive control approach to an inverted pendulum with self-triggered mechanism

Binbin Tian, Hui Peng and Tiao Kang

Higher degree inexact model for optimization problems

Mohammad Alkousa, Fedor Stonyakin, Alexander Gasnikov, Asmaa Abdo and Mohammad Alcheikh

Reinforcement learning optimizes power dispatch in decentralized power grid

Yongsun Lee, Hoyun Choi, Laurent Pagnier, Cook Hyun Kim, Jongshin Lee, Bukyoung Jhun, Heetae Kim, Jürgen Kurths and B. Kahng

An integrated gear tooth crack analysis of coupled electromechanical model: A complexity-based approach

Subrata Mukherjee, Vikash Kumar and Somnath Sarangi

Understanding the dual effects of linear cross-diffusion and geometry on reaction–diffusion systems for pattern formation

Wakil Sarfaraz, Gulsemay Yigit, Raquel Barreira, Lakhdar Remaki, Muflih Alhazmi and Anotida Madzvamuse

Variational model for vortex quantum droplets

Angel Paredes, José R. Salgueiro and Humberto Michinel

Quantum metrology with superposition of GHZ state and Twin-Fock state

Yan Li and Zhihong Ren

Generation of solitons and periodic wave trains in birefringent optical fibers

Houria Triki and Vladimir I. Kruglov

Fractal dimension characterization of wind speed in typhoons and severe convective weather events based on box dimension analysis

Jing Liang, Lei Li, P.W. Chan, Lijie Zhang, Chao Lu and Honglong Yang

Swarm dynamics of delayed self-propelled particles with non-reciprocal interactions

Yongjian Zhou, Zhicheng Zheng, Tao Wang and Xingguang Peng

A novel collision-free navigation method for autonomous chaotic mobile robots

C. Sánchez-López, R. Ochoa-Montiel and F. Montalvo-Galicia

Coexisting phenomena and antimonotonic evolution in a memristive Shinriki circuit

Yizi Cheng, Fuhong Min, Lei Xue and Yeyin Xu

Variable dust charge generates multi solitons, breather soliton structures in Saturn’s ring

Uday Narayan Ghosh and Prasanta Chatterjee

The optoelectronic reservoir computing system based on parallel multi-time-delay feedback loops for time-series prediction and optical performance monitoring

Xin Yuan, Lin Jiang, Lianshan Yan, Songsui Li, Liyue Zhang, Anlin Yi, Wei Pan and Bin Luo

Analytic expression of the probability density function for the first-passage time in birth-death processes

Seong Jun Park and M.Y. Choi

Does cooperation among conspecifics facilitate the coexistence of species?

Xiaofang Duan, Jimin Ye, Yikang Lu, Chunpeng Du, Bongsoo Jang and Junpyo Park

Coexistence of stable states in a parametric family of bimodal maps

F.A. Jiménez-Valdivia and Eric Campos-Cantón

Symmetric and asymmetric bursting oscillations in a hybrid van der Pol-Duffing-Rayleigh system

Xindong Ma and Zhao Zhang

Crowd dynamics of self-propelled individuals with collision avoidance considering anticipation and intrusion aversion

Xiangmin Hu and Tao Chen

A fractional multi-wavelet basis in Banach space and solving fractional delay differential equations

Fateme Rezaei Savadkoohi, Mohsen Rabbani, Tofigh Allahviranloo and Mohsen Rostamy Malkhalifeh

Hybrid synchronization with continuous varying exponent in modernized power grid

Jinha Park and B. Kahng

Co-dimension 2 bifurcation analysis of a tri-trophic food chain model with strong Allee effect and Crowley–Martin functional response

Siti Nurnabihah Karim and Tau Keong Ang

Dynamical variability, order-chaos transitions, and bursting Canards in the memristive Rulkov neuron model

I. Bashkirtseva and L. Ryashko

Various traveling wave solutions for (2+1)-dimensional extended Kadomtsev–Petviashvili equation using a newly created methodology

Fatma Nur Kaya Sağlam and Sandeep Malik

Emergence of chaos in an electroactive artificial muscle PVC gel under state-varying electromechanical parameters

Bin Luo, Yang Xiao, Zhigang Chen, Kejun Zhu and Hanjing Lu

A simple mathematical theory for Simple Volatile Memristors and their spiking circuits

T.M. Kamsma, R. van Roij and C. Spitoni

A novel way for microvascular network pattern formation based on a pre-pattern guidance mechanism

Ying Fu, Mingzhu Sun, Xin Zhao and Shan Guo

Observer based decentralized load frequency control with false data injection attack for specified network quality and delay

Deepak Kumar Panda, Kaushik Halder, Saptarshi Das and Stuart Townley

Bidirectional coupling in fractional order maps of incommensurate orders

Sachin Bhalekar, Prashant M. Gade and Divya D. Joshi

Composite solitons in spin–orbit-coupled Bose–Einstein condensates within optical lattices

Junbo Chen, Dumitru Mihalache, Milivoj R. Belić, Xuzhen Gao, Danfeng Zhu, Dingnan Deng, Shaobin Qiu, Xing Zhu and Liangwei Zeng

Chaotic time series prediction based on physics-informed neural operator

Qixin Wang, Lin Jiang, Lianshan Yan, Xingchen He, Jiacheng Feng, Wei Pan and Bin Luo

A light-fueled self-rolling unicycle with a liquid crystal elastomer rod engine

Haiyang Wu, Dali Ge, Jiajing Chen, Peibao Xu and Kai Li

Corrigendum to “Bifurcation and chaotic patterns of the chirped solitary waves in nonlinear electrical transmission line lattice” [Chaos Solitons Fractals 186 (2024) 115231]

Alphonse Houwe, Souleymanou Abbagari, Lanre Akinyemi, Serge Yamigno Doka, Ahmed Sayed M. Metwally and Hijaz Ahmad

A multi-image encryption scheme based on a new n-dimensional chaotic model and eight-base DNA

Mingjie Zhao, Lixiang Li and Zheng Yuan

Enhancing cooperation through payoff-related inertia in networked prisoner’s dilemma game

Chun-Xiao Jia, Lin Ma and Run-Ran Liu

Method for determining the Lyapunov exponent of a continuous model using the monodrome matrix

Marek Berezowski

Rotation controlled mode conversion of quasi-solitons in potential wells

Qing Wang, Jun Wang, Lin Zhu, Hong Li and Jun-Rong He

Extreme events in a damped Korteweg–de Vries (KdV) autonomous system: A comprehensive analysis

K. Thamilmaran, T. Bhagyaraj and S. Sabarathinam

Fusion entropy and its spatial post-multiscale version: Methodology and application

Yuxing Li and Qiyu Ding