Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2025, volume 192, articles C

Topological fractals revisited

Klára Karasová and Benjamin Vejnar

Study on the dynamic characteristics of nonlinear stochastic double delay rotor-seal system

Yuejuan Yang, Minghui Yao, Yan Niu, Qiliang Wu, Cong Wang and Renduo Song

Superposition of interacting stochastic processes with memory and its application to migrating fish counts

Hidekazu Yoshioka

Bifurcation soliton solutions, M-lump, breather waves, and interaction solutions for (3+1)-dimensional P-type equation

Tianlin Wang, Lin Tian, Zhimin Ma, Zhuodong Yang and Hongwei Han

An evidence-accumulating drift–diffusion model of competing information spread on networks

Julien Corsin, Lorenzo Zino and Mengbin Ye

Indirect information propagation model with time-delay effect on multiplex networks

Zehui Zhang, Kangci Zhu and Fang Wang

Geodesics of right isosceles Sierpiński gaskets and their relatives

Xiaohan Li, Xiangyu Liang and Yumei Xue

Theoretical analysis and adaptive high-energy orbit control of symmetric tri-stable energy harvesters with nonlinear damping

Panpan Wang, Dongmei Huang, Wei Li, Guidong Yang and Jiaojiao Sun

Analysis of neural network methods for obtaining soliton solutions of the nonlinear Schrödinger equation

Ivan A. Moloshnikov, Alexander G. Sboev, Aleksandr A. Kutukov, Roman B. Rybka, Mikhail S. Kuvakin, Oleg O. Fedorov and Saveliy V. Zavertyaev

Soliton-like solutions of the modified Camassa–Holm equation with variable coefficients

Yuliia Samoilenko, Lorenzo Brandolese and Valerii Samoilenko

Synergy and discounting effects in spatial public goods games on hypergraphs: The role of third-order reputation-based dynamic assessment

Jinlong Ma and Hongfei Zhao

Machine learning-driven exogenous neural architecture for nonlinear fractional cybersecurity awareness model in mobile malware propagation

Kiran Asma, Muhammad Asif Zahoor Raja, Chuan-Yu Chang, Muhammad Junaid Ali Asif Raja and Muhammad Shoaib

Two-field models in the presence of impurities

D. Bazeia, M.A. Liao and M.A. Marques

Period-incrementing, sausage-string-like structures, and multistability in a power converter with hysteresis control: An archetypal map approach

Viktor Avrutin, Fabian Weik, Zhanybai T. Zhusubaliyev, Yunus Akyüz and Kay Roggenbuck

Probabilistic spaces and generalized dimensions: A multifractal approach

Lixin Guo, Bilel Selmi, Zhiming Li and Haythem Zyoudi

Secure fault estimation and resilient fault-tolerant control for nonlinear chaotic systems based on fuzzy intermediate estimator

N. Keerthana, V.T. Elayabharath, R. Sakthivel and S. Monisha

The role of emotional expression in the evolution of cooperation in spatial prisoner’s dilemma games

Wei Chen, Huafeng Wang and Yukun Sheng

Impacts of microbial decomposition delays on the stability of paddy ecosystem during fallow season

Leru Zhou, Tiejun Zhou and Bolang Chen

Self-oscillation of a liquid crystal elastomer fiber-shading laminate system under line illumination

Haiming Chen, Lin Zhou and Kai Li

A nonlinear scattering length formula in the p-Laplacian framework

Xinyu Hu

Introducing a neural network approach to memristor dynamics: A comparative study with traditional compact models

D. Zhevnenko, F. Meshchaninov, V. Shmakov, E. Kharchenko, V. Kozhevnikov, A. Chernova, A. Belov, A. Mikhaylov and E. Gornev

Optimizing the thermo-fluidic properties of ternary hybrid nanofluid for appliance of solar energy through an artificial intelligence integrated numerical solver technique

Yabin Shao, Amjad Ali Pasha, Muhammad Asif Zahoor Raja, Zohaib Arshad, Zahoor Shah, Imran Abbasi, Waqar Azeem Khan, Md Mottahir Alam and Mohammed Istafaul Haque Ansari

Global air-sea CO2 flux inversion based on multi-source data fusion and machine learning

Yongqiang Chen, Siyi Wang and Wenping He

A high-frequency compact memristor emulator circuit and its applications as wave shaping and generation circuit

Rahul Kumar Gupta, Manoj Joshi, Aditya Bisen, Abhay Agarwal and Anish Singh

Dynamics of certain localized waves in an erbium-doped fiber system with the quintic terms

Yuan Shen

Synchronization of complex dynamic networks with packet loss: A novel intermittent pinning impulsive control approach

Jiawei Zhuang, Jun-Yi Li, Shunchao Zhang and Yongwei Zhang

Pure high-even-order dispersion pulsating dynamics in soliton fiber lasers

Min Luo, Ze-xian Zhang, Jia-Hong Jin, Wen-Jin Wang, Yu-jie Kong and Yong Wei

Experimental observation of multi-scale spatio-temporal structures with dark solitons embedded in a dissipative soliton

Dian Duan, Sergei Turitsyn and Xuewen Shu

Spiking and bursting activities in an NLAM-based CNN cell

Huagan Wu, Jinxiang Gu, Ning Wang, Mo Chen and Quan Xu

Noise-induced stochastic Nash equilibrium in evolutionary game dynamics

Cong Li, Tianjiao Feng, Xiudeng Zheng, Sabin Lessard and Yi Tao

Stability analysis and numerical simulations for interactions of tumor-immune system with drug delivery

Manisha Yadav and Paramjeet Singh

A chaotic chimp sine cosine algorithm for optimizing hydrothermal power scheduling

Shahid A. Iqbal, Saurav Raj and Chandan Kumar Shiva

Some novel inequalities of Weddle’s formula type for Riemann–Liouville fractional integrals with their applications to numerical integration

Abdul Mateen, Zhiyue Zhang, Hüseyin Budak and Serap Özcan

Analytical and numerical treatments of a coagulation population balance model

Saddam Hussain, Gourav Arora and Rajesh Kumar

The effect of heterogeneous perceptions with environmental feedback on spatial social dilemmas

Jian Zhao, Ran Zhang, Tianbo An, Huizhen Zhang, Daqun Tong, Xun Luo, Jinjin An and Jingrui Wang

Multi-dimensional multi-option opinion dynamics leads to the emergence of clusters in social networks

Yimeng Qi, Songlin Zhuang, Xinghu Yu, Zhihong Zhao, Weichao Sun, Zhan Li, Jianbin Qiu, Yang Shi, Fangzhou Liu, Charo I. del Genio and Stefano Boccaletti

Exhaustive classification of stochastic cooperative-level dependent strategies in iterated prisoner’s dilemma

C. Xu and P.M. Hui

Noether symmetries, conservation laws and Painleve analysis for a Cargo-LeRoux model with the Chaplygin gas in Lagrange variables

Amlan Halder and Andronikos Paliathanasis

A novel 6D four-wing memristive hyperchaotic system: Generalized fixed-time synchronization and its application in secure image encryption

Ali Hassan and Liangqiang Zhou

Degn–Harrison map: Dynamical and network behaviours with applications in image encryption

Vismaya Vs, Sishu Shankar Muni, Anita Kumari Panda and Bapin Mondal

A novel similarity measure based on dispersion-transition matrix and Jensen–Fisher divergence and its application on the detection of rail short-wave defects

Xuegeng Mao, Chengliang Xia, Jinzhao Liu, Hang Zhang, Yuming Ding, Yongming Yao and Zezhou Liu

Fractal information density

Joel Ratsaby

Prediction of excitable wave dynamics using machine learning

Mahesh Kumar Mulimani, Sebastian Echeverria-Alar, Michael Reiss and Wouter-Jan Rappel

A novel fractional-order integral dynamical backstepping controller design for integer-order nonlinear systems: An application to mock cardiovascular circulatory system

Shahrzad Hedayati, Hasan Abbasi Nozari and Seyed Jalil Sadati Rostami

Adaptive continuous Quasi-Fixed-Time integral terminal sliding mode attitude control for BiFlying-Wings tail-sitter unmanned aerial vehicles during flight mode transition

Dong Wang, Zheng Qiao, Guangxin Wu, Jiahui Xu, Xinbiao Pei and Yue Bai

A review of multilayer networks-based interregional transportation networks analysis

Jiaqi Li, Zhenfu Li and Xinli Qi

Bifurcations in a Leslie–Gower predator–prey model with strong Allee effects and constant prey refuges

Fengde Chen, Zhong Li, Qin Pan and Qun Zhu

Role of correlations in the maximum distribution of strongly correlated stationary Markovian processes

S. Miccichè

A complex network approach to identifying and characterizing vital voids in the particle packing of caved ore and rock

Hao Sun, Shenggui Zhou, Junze Jia, Lishan Zhao, Lichang Wei, Xueqian Wang, Shigen Fu, Xuan Qin and Wei Sun

A novel Riemann–Hilbert formulation-based reduction method to an integrable reverse-space nonlocal Manakov equation and its applications

Jianping Wu

Multi-games on a dynamic network and the evolution of cooperation

Yijie Huang and Yanhong Chen

Interaction of optical vortex beams with diamond germanium-vacancy color centers

Sabir Widatalla

Extreme events at the onset of epileptic-like intermittent activity of FitzHugh–Nagumo oscillators on small-world networks

Javier Cubillos-Cornejo, Miguel Escobar Mendoza and Ignacio Bordeu

Synchronization behavior of memristive FitzHugh-Nagumo neurons in time-varying networks under external stimuli

Weifang Huang, Yong Wu, Qianming Ding, Ya Jia, Ying Xie and Yipeng Hu

On the design of linear dynamic controllers for the Master–Slave synchronization of chaotic oscillators

Luis Moreno-Ahedo, Ricardo Castillo, Raúl Rascón and J. Pena Ramirez

Explosive synchronization in multiplex multiple timescale networks with higher-order interactions

T. Laptyeva, S. Jalan and M. Ivanchenko

Fusing structural and temporal information in citation networks for identifying milestone works

Yuhao Zhou, Faming Gong, Yanwei Wang, Ruijie Wang and An Zeng

Multi-wave resonances in the diatomic α-FPUT system

A. Pezzi, G. Deng, Y. Lvov, M. Lorenzo and M. Onorato

Pattern dynamics in a bimolecular reaction–diffusion model with saturation law and cross-diffusion

Li-Na Lian, Xiang-Ping Yan and Cun-Hua Zhang

Gradient based optimization of Chaogates

Anil Radhakrishnan, Sudeshna Sinha, K. Murali and William L. Ditto

Spectral approximated superconvergent methods for system of nonlinear Volterra Hammerstein integral equations

Samiran Chakraborty, Shivam Kumar Agrawal and Gnaneshwar Nelakanti

Fractional-order gradient approach for optimizing neural networks: A theoretical and empirical analysis

Priyanka Harjule, Rinki Sharma and Rajesh Kumar

Laguerre wavelets spectral method for solving a class of fractional order PDEs arising in viscoelastic column modeling

Z. Mahmoudi, M. Mehdizadeh Khalsaraei, M. Nosrati Sahlan and A. Shokri

Pattern formation on coupled map lattices induced by cross-diffusion

Xuetian Zhang, Tianhua Li and Chunrui Zhang

Dynamics and synchronization of fractional-order Rulkov neuron coupled with discrete fracmemristor

Zhouqing Tang, Huihai Wang, Wanting Zhu and Kehui Sun

A new concept of controllability for a class of nonlinear continuous SIR systems

Imane Dehaj, Abdessamad Dehaj, M.A. Aziz-Alaoui and Mostafa Rachik

Improving thermal efficiency through Cu-MoS2 hybrid nanomaterials: A numerical and statistical approach

Khursheed Muhammad, Mahnoor Sarfraz, N. Ameer Ahammad and Ibrahim E. Elseesy

Numerical solutions to linear differential equations on unbounded domain based on ECNN

Hongli Sun and Yanfei Lu

Fractional Hamiltonian systems: Nested ellipsoids

Ekin Uğurlu

Effects of mortality on a predator–prey model in crisp, fuzzy, and spatial environments: A dynamical approach

Shivam,, Teekam Singh, Shivam Rawat and Anupam Singh

Efficient hybrid PageRank centrality computation for multilayer networks

Zhao-Li Shen, Yue-Hao Jiao, Yi-Kun Wei, Chun Wen and Bruno Carpentieri

Nonreciprocal cavity magnonics system for amplification of photonic spin Hall effect

Akhtar Munir, Muqaddar Abbas and Chunfang Wang

Rheostatic effect of a magnetic field on the onset of chaotic and periodic motions in a five-dimensional magnetoconvective Lorenz system

Pradeep G. Siddheshwar, Anoop Suresh and M.S. Jagadeesh Kumar

Role of electroosmotic and Darcy-Forchheimer Law on magnetohydrodynamic Williamson hybrid nanofluid flow over a moving thin needle

Muhammad Nadeem, Admilson T. Franco, Imran Siddique, Yamid J. Garcia-Blanco, Luis H. Quitian-Ardila and Rizwan Khan

Significance of fluctuating amplitude and turbulence on nonlinear radiative heat transfer in Casson nanofluid using primitive and Stokes transformation

Nidhal Ben Khedher, Zia Ullah, Md. Mahbub Alam, Bagh Ali, Saleh Al Arni, Mouldi Ben Amara and Mohamed Boujelbene

Cascading failures with group support in interdependent hypergraphs

Lei Chen, Juntao Lu, Yalin Wang, Chunxiao Jia, Run-Ran Liu and Fanyuan Meng

Equalizing payoffs of a structured population in repeated Prisoner’s Dilemma game

Biheng Zhou, Zhihai Rong and Xiang Yu

Fractional-order clique functions to solve left-sided Bessel fractional integro-differential equations

P. Rahimkhani, Y. Ordokhani and M. Razzaghi

Low frequency vibration energy harvesting of bio-inspired multi-stable piezoelectric vibration system with an adjustable device

Xinzong Wang, Xiaofang Kang, Ling Ji, Ao Zhang and Guanghui Xia

Limit cycles near a homoclinic loop in two classes of piecewise smooth near-Hamiltonian systems

Deyue Ma and Junmin Yang

Thermal non-equilibrium process for nonreciprocity with dual-TE/single-TM peaks

Yuqing Xu, Bo Wang, Jing Ye and Jinyun Zhou

Proximal policy optimization approach to stabilize the chaotic food web system

Liang Xu, Ru-Ru Ma, Jie Wu and Pengchun Rao

Forecasting chaotic time series: Comparative performance of LSTM-based and Transformer-based neural network

João Valle and Odemir Martinez Bruno

Active vibration isolation of a monostable nonlinear electromagnetic actuator using machine learning adaptive feedforward control

Kai Yang, Weihao Tong, Xu Zhou, Ruohan Li, Tingting Zhang, Daniil Yurchenko and Yucheng Shu

Using 0–1 test to diagnose periodic and chaotic motions of nonlinear vortex-induced vibration energy harvesters

Xiaoqing Ma, Grzegorz Litak and Shengxi Zhou

Global bifurcation in a virus, defective genomes, satellite RNAs tripartite system: Breakdown of a coexistence quasi-neutral curve

Oriol Llopis-Almela, J. Tomás Lázaro, Santiago F. Elena and Josep Sardanyés

A novel PRNG for fiber optic transmission

Sarra Senouci, Sid Ali Madoune, Mohammed Raouf Senouci, Abdelkader Senouci and Zhangchun Tang

The octonion linear canonical transform: Properties and applications

Nan Jiang, Qiang Feng, Xi Yang, Jin-Rong He and Bing-Zhao Li

Super long-range kinks

I. Andrade, M.A. Marques and R. Menezes

Dynamical behaviors of a generalist predator–prey system with Allee and wind effects in deterministic or stochastic environment

Haiqing Yao, Qinglong Wang and Zhijun Liu

Chimera states in a globally coupled bipartite network with higher-order interaction

Rumi Kar, Gokul B. Nair, V.K. Chandrasekar and D.V. Senthilkumar

Spatial dynamics and pattern formation in fragmented habitats: A study using a diffusive Bazykin model with Allee effect

Pallav Jyoti Pal, Debabrata Biswas and Tapan Saha

Corner states in photonic T-graphene lattices protected by one-dimensional topological phase transition

Guanhuai Cheng, Chengzhen Lu, Guomei Zhu, Yangjian Cai, Yuanmei Gao and Zengrun Wen

Memory-based prisoner’s dilemma game with payoff-driven preferential selection

Wenxing Ye, Luliang Wen and Suohai Fan

Effect of community learning mechanism on cooperation in conflict societies

Meng Zhou, Yanlong Yang and Shuwen Xiang

Vibration reduction research of a thin beam system by employing distributed coupling nonlinear energy sinks

Qichen Wang and Yuhao Zhao

Nonlinear vibration suppression of a dual-rotor system with combined misalignment using the nonlinear energy sink

Xueyang Miao, Junzeng He, Dong Jiang, Dahai Zhang, Paolo Pennacchi and Qingguo Fei

Chaotic evolution optimization: A novel metaheuristic algorithm inspired by chaotic dynamics

Yingchao Dong, Shaohua Zhang, Hongli Zhang, Xiaojun Zhou and Jiading Jiang

Hypergraph-based modeling of cascading failures with probabilistic node-to-group interactions

Run-Ran Liu, Changchang Chu, Fanyuan Meng and Chun-Xiao Jia

Bidirectional long short-term memory attention neural network to estimate neural mass model parameters

Hao Zhang, Changqing Yang, Jingping Xu, Guanli Yuan, Xiaoli Li, Guanghua Gu and Dong Cui

Exploring quasi-periodic behavior, bifurcation, and traveling wave solutions in the double-chain DNA model

Beenish, and Maria Samreen

Persistent homology approach for uncovering transitions to Chaos

W. Hussain Shah, R. Jaimes-Reátegui, G. Huerta-Cuellar, J.H. García-López and A.N. Pisarchik

A neural network based Nipah virus model for healthcare disaster management

Alia Mohammed Almoajel

Distribution functions of the initiated KdV-like solitonic gas

Efim Pelinovsky and Sergey Gurbatov

Multicore vortex solitons in cubic–quintic nonlinear media with a Bessel lattice potential

Di Wu, Junhao Li, Xi Gao, Yi Shi, Yuan Zhao, Liangwei Dong, Boris A. Malomed, Ni Zhu and Siliu Xu

Observation of ultraslow optical solitons and vortex solitons in a room-temperature atomic gas via electromagnetically induced transparency

Hongqiao Zhang, Zhaohui Li, Yurong Wang, Chao Hang and Guang Wu

Coherence resonance in acoustic cavity system with coherent feedback

Cuicui Li, Bixuan Fan and Zhenglu Duan

Self-affine analysis and the universal crossover behavior of COVID-19 daily cases

Thiago B. Murari, Ronaldo Naziazeno, Bruna A.S. Machado, Tarcisio M. da Rocha Filho, Hernane B. de B. Pereira and Marcelo A. Moret

Integrating static and dynamic game theory with complex networks: Enhancing strategy dynamics through adaptive update rules

Reza Hakhamanesh, Javad Mohammadzadeh, Hadi Gholami Khaibary and Masoomeh Azimi

Resilience of the interdependent network against cascade failure

Changchun Lv, Yulin Lei, Ye Zhang, Dongli Duan and Shubin Si

“Conformable fractional” derivatives and integrals are integer-order operators: Physical and geometrical interpretations, applications to fractal physics

Vasily E. Tarasov

Analysis of digital financial innovation behavior based on fractional-order evolutionary game

Siqi Liu and Zixin Liu

Bifurcation analysis of mixed traffic system with different car-following modes and distributed PID control strategy based on particle swarm optimizer

Shu-Tong Wang and Wen-Xing Zhu

Artificial neural network analysis of MHD Maxwell nanofluid flow over a porous medium in presence of Joule heating and nonlinear radiation effects

Muhammad Idrees Afridi, Bandar Almohsen, Shazia Habib, Zeeshan Khan and Raheela Razzaq

Optimal bipartite consensus control for nonlinear MASs: A new predefined-time dynamic event-triggered approach

Haoming Zou, Guoshan Zhang and Zhiyong Chen

Rich hidden dynamics in a two-parameter plane for spur gear system

Jian-Fei Shi, Peng-Bing Gou, Xiang-Feng Gou, Wu-Yin Jin and Guo-Long Chen

Noise-induced extreme events in single Fitzhugh–Nagumo oscillator

S. Hariharan, R. Suresh and V.K. Chandrasekar

2D spatial soliton generation of Airy-Hermite-Gaussian beam in noninstantaneous nonlinear media

Meizhi Zhang, Jin Zhang, Guangwen Huo, Kaili Ren, Fanxiao Sun, Shihao Zhang and Anxi Ru

From metastable to stable states: Stability and explosion of pure-quartic soliton induced by the spectral filtering in fiber laser

Jia-Hao Zhang, Yun-Hao Jia, Wen-Zhi Lan, Nikolay A. Kudryashov, Xiao-Yan Wang and Chao-Qing Dai

Boundary layer slip flow and heat-mass transfer of radiated water based nanofluid over a permeable disk: Darcy-Forchheimer model and activation energy

Sohail Rehman