Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2024, volume 181, articles C

Controllable circular Airyprime beam with the astigmatic phase in a parabolic potential

Liping Zhang, Shuo Yang, Shuyu Li, Zhongsheng Man, Xiaolu Ge, Chengxin Lei, Shangling He, Wenfei Zhang, Dongmei Deng and Chidao Chen

Enhancing weak signal propagation by intra- and inter-layer global couplings in a feedforward network

Yan Wu, Liqing Wu, Yuan Zhu, Ming Yi and Lulu Lu

Feedback control of chaos in impact oscillator with multiple time-delays

Dimitri Costa, Ekaterina Pavlovskaia and Marian Wiercigroch

Co-evolution dynamics between information and epidemic with asymmetric activity levels and community structure in time-varying multiplex networks

Xiaoxiao Xie and Liang'an Huo

Bifurcation analysis in liquid crystal elastomer spring self-oscillators under linear light fields

Haiyang Wu, Jiangfeng Lou, Yuntong Dai, Biao Zhang and Kai Li

Fractals of two types of enriched (q,θ)-Hutchinson–Barnsley operators

Rizwan Anjum, Muhammad Din and Mi Zhou

Infectious disease spreading modeling and containing strategy in heterogeneous population

Wenjie Li, Jiachen Li, Yanyi Nie, Tao Lin, Yu Chen, Xiaoyang Liu, Sheng Su and Wei Wang

Multi-parallelized PINNs for the inverse problem study of NLS typed equations in optical fiber communications: Discovery on diverse high-order terms and variable coefficients

Yu-Hang Yin and Xing Lü

Caputo fractional standard map: Scaling invariance analyses

Daniel Borin

Scaling properties and height distributions of persisting roughness in the discrete growth models in the presence of the angle of repose

Chuan Wang and Hui Xia

The Julia and Mandelbrot sets for the function zp−qz2+rz+sincw exhibit Mann and Picard–Mann orbits along with s-convexity

Nabaraj Adhikari and Wutiphol Sintunavarat

Electromechanical memcapacitor model offering biologically plausible spiking

Zixi Zhang, Yuriy V. Pershin and Ivar Martin

Neuronal oscillatory patterns in coupled lasers with optical feedback

Carlos L. Pando Lambruschini

Understanding route choice behaviors' impact on traffic throughput in a dynamic transportation network

Gang Liu, Jing He, Zhiyong Luo, Xiaobai Yao and Qinjin Fan

A study on harmonic function on Vicsek fractal

Harsha Gopalakrishnan and Srijanani Anurag Prasad

Bifurcations to bursting oscillations in memristor-based FitzHugh-Nagumo circuit

Bocheng Bao, Liuhui Chen, Han Bao, Mo Chen and Quan Xu

On the almost periodic and almost automorphic solution for linear renewal equations with infinite delay via reduction principle

Abdallah Afoukal, Meryem El Attaouy and Khalil Ezzinbi

The chaotic properties and circuit design of a generalized high-dimensional integer-domain system

Yuanlin Chen, Tianxiu Lu and Qianxue Wang

Ubiquitous order known as chaos

Igor V. Ovchinnikov

Fast–slow dynamics related to sharp transition behaviors in the Rayleigh oscillator with two slow square wave excitations

Mengke Wei and Xiujing Han

Blended ferron solitary wave emerging from electron–phonon–magnon interaction in magnetic clusters: Ferrons vs skyrmions

M.N. Jipdi, M.E. Ateuafack, M. Tchoffo and L.C. Fai

The impact of temperature variation on the algae–zooplankton dynamics with size-selective disturbance

Tiancai Liao

Pattern formation of a spatial vegetation system with cross-diffusion and nonlocal delay

Gaihui Guo, Qijing Qin, Hui Cao, Yunfeng Jia and Danfeng Pang

Break an enhanced plaintext-related chaotic image encryption algorithm

Rong Zhou and Simin Yu

Output feedback pinning control for complex dynamical networks subjected to multiple attacks

Jinyuan Zhang and Yuechao Ma

Neural-network-based adaptive control of strict-feedback nonlinear systems with actuator faults: Event-triggered communications strategy

Liduo Nie and Xin Wang

Hermite–Hadamard inequalities for generalized σ−conformable integrals generated by co-ordinated functions

Sümeyye Ermeydan Çi̇ri̇ş and Hüseyin Yildirim

Stochastic dynamics of coral reef system with stage-structure for crown-of-thorns starfish

Xin Zhao, Lidan Liu, Meng Liu and Meng Fan

Pattern-detection in the global automotive industry: A manufacturer-supplier-product network analysis

Massimiliano Fessina, Andrea Zaccaria, Giulio Cimini and Tiziano Squartini

A novel SIRS epidemic model for two diseases incorporating treatment functions, media coverage, and three types of noise

Abdulwasea Alkhazzan, Jungang Wang, Yufeng Nie, Hasib Khan and Jehad Alzabut

Double well stochastic resonance for a class of three-dimensional financial systems

Jianjun Wu and Lu Xia

A novel text clustering model based on topic modelling and social network analysis

Babak Amiri and Ramin Karimianghadim

On the mathematics of: “Criticality and the fractal structure of −5/3 turbulent cascades”

Juan S. Medina-Alvarez

Efficiently solving fractional delay differential equations of variable order via an adjusted spectral element approach

N. Ayazi, P. Mokhtary and B. Parsa Moghaddam

HNS: An efficient hermite neural solver for solving time-fractional partial differential equations

Jie Hou, Zhiying Ma, Shihui Ying and Ying Li

Nonlinear ion acoustic waves in dense magnetoplasmas: Analyzing interaction solutions of the KdV equation using Wronskian formalism for electron trapping with Landau diamagnetism and thermal excitations

S. Shah, W. Masood, M. Siddiq and H. Rizvi

Constant Production in an Orchard: An interaction-based approach

Swati Chauhan, Shiva Dixit, Manish Dev Shrimali, Kenshi Sakai and Awadhesh Prasad

Spectral structures and soliton dynamical behaviors of two shifted nonlocal NLS equations via a novel Riemann–Hilbert approach: A reverse-time NLS equation and a reverse-spacetime NLS equation

Jianping Wu

Quantized adaptive practical fixed-time synchronization of stochastic complex networks with actuator faults

Meng Hou, Qiushi He and Yuechao Ma

Identification and analysis of a nonlinear mathematical model of the temporomandibular joint disc

Barbara Imiołczyk, Jerzy Margielewicz, Damian Gąska, Grzegorz Litak, Daniil Yurchenko, Magdalena Rogal, Tomasz Lipski and Edward Kijak

Dynamics of vector-borne diseases through the lens of systems incorporating fractional-order derivatives

Urszula Skwara, Dorota Mozyrska, Maira Aguiar and Nico Stollenwerk

Design of fractional-order hammerstein control auto-regressive model for heat exchanger system identification: Treatise on fuzzy-evolutionary computing

Ammara Mehmood, Muhammad Asif Zahoor Raja and Brett Ninness

Elliptical and rectangular solitons in media with competing cubic–quintic nonlinearities

Liangwei Zeng, Milivoj R. Belić, Dumitru Mihalache and Xing Zhu

Time-delay feedback control of a suspended cable driven by subharmonic and superharmonic resonance

Jian Peng, Yanan Li, Luxin Li, Stefano Lenci and Hongxin Sun

Qualitative analysis, exact solutions and symmetry reduction for a generalized (2＋1)-dimensional KP–MEW-Burgers equation

Muhammad Hamza Rafiq, Nauman Raza, Adil Jhangeer and Ahmed M. Zidan

Astrocyte control bursting mode of spiking neuron network with memristor-implemented plasticity

Sergey V. Stasenko, Alexey N. Mikhaylov, Alexander A. Fedotov, Vladimir A. Smirnov and Victor B. Kazantsev

Global asymptotic stability of an age-structured tuberculosis model: An analytical method to determine kernel coefficients in Lyapunov functional

Yi Chen, Lianwen Wang and Jinhui Zhang

nD-CS: A circularly shifting chaotic map generation method

Zihua Wu, Yinxing Zhang, Han Bao, Rushi Lan and Zhongyun Hua

The evolutionary prisoner’s dilemma game in continuous signed networks

Guangyu Li, Haifeng Du and Xiaochen He

Segmented multifractal detrended fluctuation analysis for assessing inefficiency in North African stock markets

Foued Saâdaoui

Dynamics of a model of polluted lakes via fractal–fractional operators with two different numerical algorithms

Tanzeela Kanwal, Azhar Hussain, İbrahim Avcı, Sina Etemad, Shahram Rezapour and Delfim F.M. Torres

Bursting and spiking activities in a Wilson neuron circuit with memristive sodium and potassium ion channels

Quan Xu, Kai Wang, Mo Chen, Fatemeh Parastesh and Ning Wang

A multifractal formalism for new general fractal measures

Rim Achour, Zhiming Li, Bilel Selmi and Tingting Wang

Mathematical modeling and simulation for COVID-19 with mutant and quarantined strategy

Zhenhua Yu, Jingmeng Zhang, Yun Zhang, Xuya Cong, Xiaobo Li and Almetwally M. Mostafa

Partially nonlocal ring-like spatiotemporal superimposed second-order breathers under a harmonic potential

Liang-Yuan Chen, Hong-Yu Wu and Li-Hong Jiang

Efficient traffic management in networks with limited resources: The switching routing strategy

Ankit Mishra, Tao Wen and Kang Hao Cheong

Stochastic disturbance with finite-time chaos stabilization and synchronization for a fractional-order nonautonomous hybrid nonlinear complex system via a sliding mode control

R. Surendar, M. Muthtamilselvan and Kyubok Ahn

Tunable resource allocation dynamics for interpreting economic complexity

Zhuo-Ming Ren, Li Zhao, Wen-Li Du, Tong-Feng Weng, Chuang Liu, Yi-Xiu Kong and Yi-Cheng Zhang

Feedback resonance in Fermi–Pasta–Ulam chain

Egor Usik, Natalia Amelina and Alexander L. Fradkov

Time-synchronized predefined-time synchronization between two non-identical chaotic systems

Shilalipi Sahoo, Rahash Nathasarma and Binoy Krishna Roy

Suppressing chaotic oscillations of a tether anchored to the Phobos surface under the L1 libration point

Vladimir S. Aslanov

Exploring ring dark soliton dynamics in Rydberg-dressed Bose–Einstein condensate

Linxue Wang, Hui Liu, Hongli Yang, Silin Chen, Pu Tu, Lin Wen, Xueying Yang and Xiao-Fei Zhang

Adaptive fuzzy echo state network optimal synchronization control of hybrid–order chaotic systems via reinforcement learning

Mei Zhong, Chengdai Huang, Jinde Cao and Heng Liu

Asymmetric games on networks: Mapping to Ising models and bounded rationality

Filippo Zimmaro, Serge Galam and Marco Alberto Javarone

Evolutionary dynamics in voluntary prisoner’s dilemma game with environmental feedbacks

Yan Gao, Minlan Li, Yuanyuan Hu, Rui-Wu Wang and Chao Wang

The impact of reputation-based heterogeneous evaluation and learning on cooperation in spatial public goods game

Ran Lv, Jia-Li Qian, Qing-Yi Hao, Chao-Yun Wu, Ning Guo and Xiang Ling

A Haavelmo grey model based on economic growth and its application to energy industry investments

Hui Li, Weige Nie and Huiming Duan

Neighborhood information based semi-supervised fuzzy C-means employing feature-weight and cluster-weight learning

Ali Kadhim Jasim, Jafar Tanha and Mohammad Ali Balafar

The vanishing pressure limits of Riemann solutions for the Aw-Rascle hydrodynamic traffic flow model with the logarithmic equation of state

Xueli Xin and Meina Sun

Lie symmetries and optimal classifications with certain modal approaches for the three-dimensional gas-dynamical equations

Sougata Mandal, Subhankar Sil and Sukhendu Ghosh

Reservoir computing-based advance warning of extreme events

Tao Wang, Hanxu Zhou, Qing Fang, Yanan Han, Xingxing Guo, Yahui Zhang, Chao Qian, Hongsheng Chen, Stéphane Barland, Shuiying Xiang and Gian Luca Lippi

A cross horizontal visibility graph algorithm to explore associations between two time series

Jin-Long Liu, Zu-Guo Yu and Yu Zhou

Spatiotemporal wavelet-domain neuroimaging of chaotic EEG seizure signals in epilepsy diagnosis and prognosis with the use of graph convolutional LSTM networks

Njud S. Alharbi, Stelios Bekiros, Hadi Jahanshahi, Jun Mou and Qijia Yao

Design and application of multiscroll chaotic attractors based on a novel multi-segmented memristor

Jie Zhang, Jiangang Zuo, Meng Wang, Yan Guo, Qinggang Xie and Jinyou Hou

A new class of convex functions and applications in entropy and analysis

Yamin Sayyari and Mehdi Dehghanian

Analytical solutions for the short-term plasticity

Paulo R. Protachevicz, Antonio M. Batista, Iberê L. Caldas and Murilo S. Baptista

On an enthalpy formulation for a sharp-interface memory-flux Stefan problem

Sabrina D. Roscani and Vaughan R. Voller

Multiresolution nonsynchronous entropy: Measurement approach for synchronous series analysis and feature extraction of rotating machinery

Yanqing Zhao, Lyu Chang, Jianguo Dai, Hailin Jiang and Hualing Wang

Heterogeneous parallel computing based real-time chaotic video encryption and its application to drone-oriented secure communication

Fan-feng Shi, Tao Li, Hao-yu Hu, Yi-fei Li, Dan Shan and Dong Jiang

Chirped self-similar optical solitons with cubic–quintic–septic–nonic form of self-phase modulation

Narimene Mahfoudi, Abdesselam Bouguerra, Houria Triki, Faiçal Azzouzi, Anjan Biswas, Yakup Yıldırım and Ali Saleh Alshomrani

Fractal dimension analysis of financial performance of resulting companies after mergers and acquisitions

Shubham Kumar Verma and Satish Kumar

Fractal surfaces in Lebesgue spaces with respect to fractal measures and associated fractal operators

Rattan Lal, Subhash Chandra and Ajay Prajapati

A kill chain optimization method for improving the resilience of unmanned combat system-of-systems

Yuanfu Zhong, Hongxu Li, Qin Sun, Zhiwen Huang and Yingchao Zhang

New Kolmogorov bounds in the CLT for random ratios and applications

Khalifa Es-Sebaiy and Fares Alazemi

Emergent dynamics in fractional-order Wilson–Cowan neural network systems

Argha Mondal, Eva Kaslik, Sanjeev K. Sharma, Chinmay Chakraborty and M.A. Aziz-Alaoui

Numerical exploration of the quantized Hill problem dynamics

Aguda Ekele Vincent, Elbaz I. Abouelmagd, Efstathios A. Perdios and Vassilis S. Kalantonis

Integrability aspects, rational type solutions and invariant solutions of an extended (3+1)-dimensional B-type Kadomtsev–Petviashvili equation

Uttam Kumar Mandal, Sandeep Malik, Sachin Kumar, Yi Zhang and Amiya Das

Moments of undersampled distributions: Application to the size of epidemics

Álvaro Corral

Robust network of globally coupled heterogeneous limit cycle oscillators due to inertia

Uday Singh, Wei Zou, V.K. Chandrasekar and D.V. Senthilkumar

Efficient mass-preserving finite volume approach for the rennet-induced coagulation equation

Mehakpreet Singh, Nikhil Sriwastav and Orest Shardt

Fixed-time synchronization of Inertial Cohen-Grossberg Neural Networks with state dependent delayed impulse control and its application to multi-image encryption

P. Kowsalya, S.S. Mohanrasu, Ardak Kashkynbayev, P. Gokul and R. Rakkiyappan

Entropy production on cooperative opinion dynamics

Igor V.G. Oliveira, Chao Wang, Gaogao Dong, Ruijin Du, Carlos E. Fiore, André L.M. Vilela and H. Eugene Stanley

A network-based model to assess vaccination strategies for the COVID-19 pandemic by using Bayesian optimization

Gilberto González-Parra, Javier Villanueva-Oller, F.J. Navarro-González, Josu Ceberio and Giulia Luebben

Dynamical investigation and encryption application of a new multiscroll memristive chaotic system with rich offset boosting features

Zeng-Jun Xin and Qiang Lai

Phase transitions of dual-lane lattice model incorporating cyber-attacks on lane change involving inflow and outflow under connected vehicles environment

Guanghan Peng, Chunli Luo, Hongzhuan Zhao and Huili Tan

Stability, period and chaos of the evolutionary game strategy induced by time-delay and mutation feedback

Yifei Wang, Xinzhu Meng and Abdullah Khames Alzahrani

Detection of epileptic seizure using EEG signals analysis based on deep learning techniques

Ali H. Abdulwahhab, Alaa Hussein Abdulaal, Assad H. Thary Al-Ghrairi, Ali Abdulwahhab Mohammed and Morteza Valizadeh

Examining reachability criteria for fractional dynamical systems with mixed delays in control utilizing ψ-Hilfer pseudo-fractional derivative

Anjapuli Panneer Selvam, Venkatesan Govindaraj and Hijaz Ahmad

Synchronization transitions in coupled q-deformed logistic maps

Naval R. Sabe, Sumit S. Pakhare and Prashant M. Gade

Intermittent boundary control for fixed-time stability of reaction–diffusion systems

Wenwen Jia, Jingu Xie, Haihua Guo and Yongbao Wu

Effects of uncommon non-isochronicities on remote synchronization

Kaiming Luo, Zongkai Cai, Zonghua Liu, Shuguang Guan and Yong Zou

Higher order investigation on modulated waves in the Peyrard–Bishop–Dauxois DNA model

Arnaud Djine, Nkeh Oma Nfor, Guy Roger Deffo and Serge Bruno Yamgoué

Soliton solutions of a novel nonlocal Hirota system and a nonlocal complex modified Korteweg–de Vries equation

Cai-Qin Song, Dan-Ya Liu and Li-Yuan Ma

Complexity from ordinal pattern positioned slopes (COPPS)

Jean Sire Armand Eyebe Fouda, Wolfram Koepf, Norbert Marwan, Jürgen Kurths and Thomas Penzel

The mKdV equation under the Gaussian white noise and Wiener process: Darboux transformation and stochastic soliton solutions

Rui-rui Yuan, Ying Shi, Song-lin Zhao and Wen-zhuo Wang

Bird’s-eye view of Slovenian pediatrics reveals complexity but also consistency

Jernej Završnik and Matjaž Perc

Filtering induced explosive death in coupled FitzHugh–Nagumo neurons: Theory and experiment

Nirmalendu Hui, Debabrata Biswas, Biswabibek Bandyopadhyay, Meenakshi Chakraborty and Tanmoy Banerjee

Bifurcation analysis of a delayed stochastic HBV epidemic model: Cell-to-cell transmission

Anwarud Din

Merging of coherent upper conditional probabilities defined by Hausdorff outer measures

Serena Doria

Dynamical analysis of a tabu learning neuron through the discrete implicit mapping method

Fuhong Min, Jie Zhu, Yizi Cheng and Yeyin Xu

Transport memory effects on coupled nonlinear waves in microtubule dynamics

Eric Tankou, Conrad Bertrand Tabi, Alidou Mohamadou and Timoléon Crépin Kofané

Sliding mode control for the stabilization of fractional heat equations subject to boundary uncertainty

Rui-Yang Cai, Lan Cheng and Hua-Cheng Zhou

Bound-in-continuum-like corner states in the type-II Dirac photonic lattice

Suge Feng, Hua Zhong, Milivoj R. Belić, Dumitru Mihalache, Yongdong Li and Yiqi Zhang

Symmetry-breaking higher-order interactions in coupled phase oscillators

Dhrubajyoti Biswas and Sayan Gupta

Chimera states in a lattice of superdiffusively coupled neurons

I. Fateev and A. Polezhaev

Magnetohydrodynamic study of Micropolar fluid flow in the porous walled channel with variable viscosity and thermal conductivity: HAM Solution

Pramod Kumar Yadav and Nitisha Yadav

Optimal control in opinion dynamics models: diversity of influence mechanisms and complex influence hierarchies

Ivan V. Kozitsin

Geometrically constrained multifield models with BNRT solutions

M.A. Marques and R. Menezes

Geometric construction of non-linear Sigma models with Q-ball/Q-kink solutions

A. Alonso-Izquierdo, D. Canillas Martínez, C. Garzón Sánchez and M.A. González León

On the line-soliton solutions of a coupled modified Kadomtsev–Petviashvili system in two-layer shallow water

Conghui Li, Chuanzhong Li, Gang Wang and Wei Liu