Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2022, volume 164, articles C

Interpolative operators: Fractal to multivalued fractal

B.V. Prithvi and S.K. Katiyar

Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, N-fold Darboux transformation and explicit exact solutions

Yuan Shen, Bo Tian, Tian-Yu Zhou and Xiao-Tian Gao

Investigation of complex dynamics and chaos control of the duopoly supply chain under the mixed carbon policy

Liuwei Zhao, Shuai Jin and Hongyun Jiang

Computing using pulse collisions in lattices of excitable microlasers

L. Soun, K. Alfaro-Bittner, M.G. Clerc and S. Barbay

Relaxation oscillation patterns induced by amplitude-modulated excitation in the Duffing system

Jin Song, Xiujing Han, Yong Zou, Yandan Jiang and Qinsheng Bi

Analysis of chaos-coherence peculiarities within the chaotic phenomena of fluid at finite temperature

Ghulam Bary

Clustering phenomenon of the singular Cucker–Smale model with finite communication weight and variable coupling strength

Jong-Ho Kim and Jea-Hyun Park

Attractor memory in a nonautonomous multistable system

A.N. Pisarchik, R. Jaimes-Reátegui and J.J. Barba Franco

Geometric analysis of nonlinear dynamics in application to financial time series

Isao Shoji and Masahiro Nozawa

Controlling of periodicity and chaos in a three dimensional prey predator model introducing the memory effect

Prahlad Majumdar, Bapin Mondal, Surajit Debnath and Uttam Ghosh

Cross-plane multi-image encryption using chaos and blurred pixels

Xingyuan Wang and Huipeng Liu

Nonlinear dispersive wave propagation pattern in optical fiber system

M. Hafiz Uddin, U.H.M. Zaman, Mohammad Asif Arefin and M. Ali Akbar

Global dynamics analysis of instantaneous harvest fishery model guided by weighted escapement strategy

Yuan Tian, Yan Gao and Kaibiao Sun

A new multi-wing chaotic attractor with unusual variation in the number of wings

Shilalipi Sahoo and Binoy Krishna Roy

Frequency modes of unstable spiral waves in two-dimensional Rosenzweig–MacArthur ecological networks

P.G. Legoya, A.S. Etémé, C.B. Tabi, A. Mohamadou and T.C. Kofané

Application of modified exponential rational function method to Jaulent–Miodek system leading to exact classical solutions

Muhammad S. Iqbal, Aly R. Seadawy, Muhammad Z. Baber and Muhammad Qasim

The structure of uni-directional chain for the synchronization of networked chaotic systems

Shuxian Yu, Jie Zhou and Shuguang Guan

Experimental and numerical verification of anomalous screening theory in granular matter

Chandana Mondal, Michael Moshe, Itamar Procaccia, Saikat Roy, Jin Shang and Jie Zhang

Self-excited and hidden attractors in a multistable jerk system

Paulo C. Rech

Prediction of fluctuations in a chaotic cancer model using machine learning

Elaheh Sayari, Sidney T. da Silva, Kelly C. Iarosz, Ricardo L. Viana, José D. Szezech and Antonio M. Batista

The weighted Bitcoin Lightning Network

Jian-Hong Lin, Emiliano Marchese, Claudio J. Tessone and Tiziano Squartini

Weak percolation on multiplex networks with overlapping edges

G.J. Baxter, R.A. da Costa, S.N. Dorogovtsev and J.F.F. Mendes

Entanglement and Fisher information for a two-atom system interacting with deformed fields in correlated two-mode states

K. Berrada, S. Abdel-Khalek, E.M. Khalil, A. Alkaoud and Hichem Eleuch

Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects

Houria Triki, Yunzhou Sun, Qin Zhou, Anjan Biswas, Yakup Yıldırım and Hashim M. Alshehri

Stability of multi-links complex-valued impulsive stochastic systems with Markovian switching and multiple delays

Ni Yang, Ruiyi Gao and Huan Su

Dynamic analysis of piecewise nonlinear systems with fractional differential delay feedback control

Mei-Qi Wang, Wen-Li Ma, Yuan Li, En-Li Chen, Peng-Fei Liu and Ming-Zhi Zhang

Visually meaningful image encryption scheme based on new-designed chaotic map and random scrambling diffusion strategy

Xingyuan Wang, Cheng Liu and Donghua Jiang

Identifying influential nodes in complex networks based on spreading probability

Jun Ai, Tao He, Zhan Su and Lihui Shang

PixAdapt: A novel approach to adaptive image encryption

Rohan Tuli, Hitesh Narayan Soneji and Prathamesh Churi

Sub-harmonic Melnikov function for a high-dimensional non-smooth coupled system

Xiuying Guo, Ruilan Tian, Qiang Xue and Xiaolong Zhang

How many asymptomatic cases were unconfirmed in the US COVID-19 pandemic? The evidence from a serological survey

Junyang Cai and Jian Zhou

Conical diffraction modulation in fractional dimensions with a PT-symmetric potential

Zhenkun Wu, Kaibo Yang, Xijun Ren, Peng Li, Feng Wen, Yuzong Gu and Lijun Guo

Bernoulli wavelet method for non-linear fractional Glucose–Insulin regulatory dynamical system

Khushbu Agrawal, Ranbir Kumar, Sunil Kumar, Samir Hadid and Shaher Momani

Structure and dynamics of human complication-disease network

Xiong-Fei Jiang, Long Xiong, Ling Bai, Jie Lin, Jing-Feng Zhang, Kun Yan, Jia-Zhen Zhu, Bo Zheng and Jian-Jun Zheng

Dynamics diagnosis of the COVID-19 deaths using the Pearson diagram

Alan D.S. Gonçalves, Leonardo H.S. Fernandes and Abraão D.C. Nascimento

Stochastic admissibility and H∞ output feedback control for singular Markov jump systems under dynamic measurement output event-triggered strategy

Meng Sun, Guangming Zhuang, Jianwei Xia, Yanqian Wang and Guoliang Chen

Nonlinear wave transmission in a two-dimensional nonlinear electric transmission network with dissipative elements

Emmanuel Kengne

Non-reciprocal interactions enhance heterogeneity

Timoteo Carletti and Riccardo Muolo

Stochastic mixed-mode oscillations in the canards region of a cardiac action potential model

Evdokiia Slepukhina, Irina Bashkirtseva, Lev Ryashko and Philipp Kügler

Attractivity of unstable equilibria for a controlled Chen system via small output feedback

Graciela Adriana González, Christopher Nielsen and Zachary Bortoff

Dynamical behavior of SIRS model incorporating government action and public response in presence of deterministic and fluctuating environments

Sangeeta Saha, Protyusha Dutta and Guruprasad Samanta

Recurrence of a class of quantum Markov chains on trees

Abdessatar Barhoumi and Abdessatar Souissi

Expanding the duopoly Stackelberg game with marginal costs into a multipoly game with lowering the burden of mathematical calculations: a numerical analysis

Bo Yan, Atefeh Ahmadi, Mahtab Mehrabbeik, Karthikeyan Rajagopal, Shaobo He and Sajad Jafari

Comparison of synchronization of chaotic Burke-Shaw attractor with active control and integer-order and fractional-order P-C method

Ali Durdu and Yılmaz Uyaroğlu

An application of fixed point technique of Rothe’s-type to interpret the controllability criteria of neutral nonlinear fractional ordered impulsive system

P.K. Lakshmi Priya and K. Kaliraj

Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions

Subhash Chandra and Syed Abbas

Stability of a fractional advection–diffusion system with conformable derivative

Hassen Arfaoui and Abdellatif Ben Makhlouf

Born’s rule in multiqubit Bohmian systems

A.C. Tzemos and G. Contopoulos

Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map

Xiao-Yue Yao, Xian-Feng Li, Jun Jiang and Andrew Y.T. Leung

Multi-scale 3D cellular automata modeling: Application to wildland fire spread

M. Byari, A. Bernoussi, O. Jellouli, M. Ouardouz and M. Amharref

Similarity-based heterogeneity and cohesiveness of networked companies issuing minibonds

Roy Cerqueti, Catherine Deffains-Crapsky and Saverio Storani

Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions

Dazhao Chen and Zhengqiu Zhang

Indicating the synchronization bifurcation points using the early warning signals in two case studies: Continuous and explosive synchronization

Bahareh Karimi Rahjerdi, Ramesh Ramamoorthy, Fahimeh Nazarimehr, Karthikeyan Rajagopal and Sajad Jafari

Nondegenerate N-soliton solutions for Manakov system

Yue-Jin Cai, Jian-Wen Wu and Ji Lin

Evolutionary dynamics of multi-player snowdrift games based on the Wright-Fisher process

Cuiling Gu, Xianjia Wang, Rui Ding, Jinhua Zhao and Yang Liu

Turing–Hopf bifurcation co-induced by cross-diffusion and delay in Schnakenberg system

Rui Yang

Swarming optimization to analyze the fractional derivatives and perturbation factors for the novel singular model

Zulqurnain Sabir, Salem Ben Said and Dumitru Baleanu

Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain

Shuhong Yu, Yunxiu Zhou and Tingsong Du

Oscillatory, crossover behavior and chaos analysis of HIV-1 infection model using piece-wise Atangana–Baleanu fractional operator: Real data approach

Changjin Xu, Zixin Liu, Yicheng Pang, Sayed Saifullah and Mustafa Inc

Do the global grain spot markets exhibit multifractal nature?

Xing-Lu Gao, Ying-Hui Shao, Yan-Hong Yang and Wei-Xing Zhou

Economic state classification and portfolio optimisation with application to stagflationary environments

Nick James, Max Menzies and Kevin Chin

Three-dimensional quantum droplets in spin-orbit-coupled Bose-Einstein condensates

Si-Liu Xu, Yun-Bin Lei, Jin-Ting Du, Yuan Zhao, Rui Hua and Jian-Hua Zeng

Exploiting delay differential equations solved by Eta functions as suitable mathematical tools for the investigation of thickness controlling in rolling mill

S. Sedaghat and S. Mashayekhi

Temperature-controlled propagation of spikes in neuronal networks

Chenggui Yao, Yuangen Yao, Yu Qian and Xufan Xu

Variational estimates for the speed propagation of fronts in a nonlinear diffusive Fisher equation

Rafael D. Benguria, M. Cristina Depassier and Sergio Rica

Emergence of Canard induced mixed mode oscillations in a slow–fast dynamics of a biophysical excitable model

Sanjeev Kumar Sharma, Arnab Mondal, Argha Mondal, M.A. Aziz-Alaoui, Ranjit Kumar Upadhyay and Jun Ma

Physics aware analytics for accurate state prediction of dynamical systems

Ankit Mandal, Yash Tiwari, Prasanta K. Panigrahi and Mayukha Pal

Stochastic SIR model predicts the evolution of COVID-19 epidemics from public health and wastewater data in small and medium-sized municipalities: A one year study

Manuel Pájaro, Noelia M. Fajar, Antonio A. Alonso and Irene Otero-Muras

Thinking about the oceanic shallow water via a generalized Whitham-Broer-Kaup-Boussinesq-Kupershmidt system

Xin-Yi Gao, Yong-Jiang Guo and Wen-Rui Shan

A novel blood glucose time series prediction framework based on a novel signal decomposition method

Ting Zhu, Wenbo Wang and Min Yu

New zeroing neural network with finite-time convergence for dynamic complex-value linear equation and its applications

Guancheng Wang, Qinrou Li, Shaoqing Liu, Hua Xiao and Bob Zhang

Spatiotemporal dynamics on a class of (n+1)-dimensional reaction–diffusion neural networks with discrete delays and a conical structure

Jing Chen, Min Xiao, Xiaoqun Wu, Zhengxin Wang and Jinde Cao

Global stability criteria for nonlinear differential systems with infinite delay and applications to BAM neural networks

José J. Oliveira

Predictability of players’ actions as a mechanism to boost cooperation

Yin-Jie Ma, Zhi-Qiang Jiang and Boris Podobnik

Non-Hermitian-enhanced topological protection of chaotic dynamics in one-dimensional optomechanics lattice

Lei Chen, Feifan Huang, Hongteng Wang, Linwei Huang, Junhua Huang, Gui-Shi Liu, Yaofei Chen, Yunhan Luo and Zhe Chen

Anti-disturbance observer-based control for fuzzy chaotic semi-Markov jump systems with multiple disturbances and mixed actuator failures

R. Abinandhitha, R. Sakthivel, N. Tatar and R. Manikandan

Synchronization dynamics of phase oscillator populations with generalized heterogeneous coupling

Yonggang Wu, Zhigang Zheng, Longkun Tang and Can Xu

Globally asymptotic synchronization for complex-valued BAM neural networks by the differential inequality way

Dazhao Chen and Zhengqiu Zhang

Solving min–max linear fractional programs based on image space branch-and-bound scheme

Hongwei Jiao and Binbin Li

A Taylor-Splitting Collocation approach and applications to linear and nonlinear engineering models

Seda Çayan, B. Burak Özhan and Mehmet Sezer

Hybrid learning promotes cooperation in the spatial prisoner’s dilemma game

Xu Han, Xiaowei Zhao and Haoxiang Xia

Chaos classification in forced fermionic instanton solutions by the Generalized Alignment Index (GALI) and the largest Lyapunov exponent

Beyrul Canbaz

Extreme event statistics in a map with singularity

Abhijit Bera and Soumitro Banerjee

Energy control in a quantum oscillator using coherent control and engineered environment

Alexander N. Pechen, Sergey Borisenok and Alexander L. Fradkov

Creating new chaotic signals with reservoir computers

Thomas L. Carroll

Alternating rotation of coordinated and anti-coordinated action due to environmental feedback and noise

Bin-Quan Li, Zhi-Xi Wu and Jian-Yue Guan

The effect of time delay for synchronisation suppression in neuronal networks

Matheus Hansen, Paulo R. Protachevicz, Kelly C. Iarosz, Iberê L. Caldas, Antonio M. Batista and Elbert E.N. Macau

Forecasting the behavior of fractional order Bloch equations appearing in NMR flow via a hybrid computational technique

Ved Prakash Dubey, Jagdev Singh, Ahmed M. Alshehri, Sarvesh Dubey and Devendra Kumar

Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities

Muhammad Bilal Khan, Gustavo Santos-García, Muhammad Aslam Noor and Mohamed S. Soliman

Two component model of microtubules – subsonic and supersonic solitary waves

Dragana Ranković and Slobodan Zdravković

A novel pattern in a class of fractal models with the non-perturbative approach

Yusry O. El-Dib and Nasser S. Elgazery

Kepler in search of the “Anaclastic”

Pierre Coullet, Jaime San Martin and Enrique Tirapegui

Generic Hölder level sets and fractal conductivity

Zoltán Buczolich, Balázs Maga and Gáspár Vértesy

Majority networks and consensus dynamics

Eric Goles, Pablo Medina, Pedro Montealegre and Julio Santivañez

h-stability for stochastic Volterra–Levin equations

Zhi Li, Qinyi Long, Liping Xu and Xueqi Wen

Different strategies to confront maize streak disease based on fractional optimal control formulation

Ismail Gad Ameen, Dumitru Baleanu and Hegagi Mohamed Ali

Special attractors and dynamic transport of the hybrid-order complex Lorenz system

Fangfang Zhang, Shuaihu Zhang, Guanrong Chen, Chunbiao Li, Zhengfeng Li and Changchun Pan

An efficient algorithm and complexity result for solving the sum of general affine ratios problem

Hongwei Jiao and Junqiao Ma

A new adaptive parallel resonance system based on cascaded feedback model of vibrational resonance and stochastic resonance and its application in fault detection of rolling bearings

Jimeng Li, Xing Cheng, Junling Peng and Zong Meng

Dissipative solitons stabilized by nonlinear gradients in one spatial dimension: From deterministic to stochastic aspects, and a perspective

Orazio Descalzi and Carlos Cartes

Propagation of periodic and solitary waves in a highly dispersive cubic–quintic medium with self-frequency shift and self-steepening nonlinearity

Vladimir I. Kruglov and Houria Triki

Dynamical analysis of fractional plant disease model with curative and preventive treatments

Pawan Kumar Shaw, Sunil Kumar, Shaher Momani and Samir Hadid

Evolutionary prisoner’s dilemma game on signed networks based on structural balance theory

Shenpeng Song, Yuhao Feng, Wenzhe Xu, Hui-Jia Li and Zhen Wang

Impact of finite size effect on applicability of generalized fractal and spectral dimensions to biological networks

Adam Craig, Mesut Yücel, Lev Muchnik and Uri Hershberg

Global stability and optimal control analysis of a knowledge transmission model in multilayer networks

Jun Mei, Sixin Wang, Dan Xia and Junhao Hu

Modeling secondary infections with temporary immunity and disease enhancement factor: Mechanisms for complex dynamics in simple epidemiological models

Vanessa Steindorf, Akhil Kumar Srivastav, Nico Stollenwerk, Bob W. Kooi and Maíra Aguiar

Nonlinear analysis and chaos synchronization of a memristive-based chaotic system using adaptive control technique in noisy environments

Farbod Setoudeh, Mohammad Matin Dezhdar and M. Najafi

An improved two-layer model for rumor propagation considering time delay and event-triggered impulsive control strategy

Yafang Dong, Liang'an Huo and Laijun Zhao

Mix-training physics-informed neural networks for the rogue waves of nonlinear Schrödinger equation

Jiaheng Li and Biao Li

Finite-time synchronization for fractional-order quaternion-valued coupled neural networks with saturated impulse

Wenjun Mo and Haibo Bao

On nonlinear dynamics of a fractional order monkeypox virus model

A. El-Mesady, Amr Elsonbaty and Waleed Adel

Extremely rich dynamics of coupled heterogeneous neurons through a Josephson junction synapse

Zeric Tabekoueng Njitacke, Balamurali Ramakrishnan, Karthikeyan Rajagopal, Théophile Fonzin Fozin and Jan Awrejcewicz

Chaotic pitch motion of an aerodynamically stabilized magnetic satellite in polar orbits

Vladimir S. Aslanov and Dmitry A. Sizov

Preference heterogeneity in Bitcoin and its forks' network

Hyeonoh Kim, Chang Yong Ha and Kwangwon Ahn

Dynamical regulation of epileptiform discharges caused by abnormal astrocyte function with optogenetic stimulation

Jinyi Zhao, Ying Yu and Qingyun Wang

The multi-scale structural complexity of urban morphology in China

Ping Wang, Changgui Gu, Huijie Yang and Haiying Wang

Self-similarities in optical flows

Enze Cui and James F. Peters

Collisions of kinks in deformed φ4 and φ6 models

Aliakbar Moradi Marjaneh, Fabiano C. Simas and D. Bazeia

Finite-time optimal feedback control mechanism for knowledge transmission in complex networks via model predictive control

Sixin Wang, Jun Mei, Dan Xia, Zhanying Yang and Junhao Hu

Dynamic multifractal characteristics of acoustic emission about composite coal-rock samples with different strength rock

Jie Liu, Qiuping Li, Xiaoran Wang, Zaiquan Wang, Shouqing Lu, Zhanyou Sa and Hao Wang

The Vlasov–Poisson–Fokker–Planck system in the low regularity space

Lihua Tan and Yingzhe Fan

Self-parametric amplification of a bound-state dissipative soliton assisted by spectral filtering effect in the negative dispersion regime

Song Yang, Qian-Yun Zhang, Zhi-Wei Zhu, Yao-Yao Qi, Li Li and Xue-Chun Lin

Diffusion of resources and their impact on epidemic spreading in multilayer networks with simplicial complexes

Qingyi Sun, Zhishuang Wang, Dawei Zhao, Chengyi Xia and Matjaž Perc

Multilayer networks with higher-order interaction reveal the impact of collective behavior on epidemic dynamics

Jinming Wan, Genki Ichinose, Michael Small, Hiroki Sayama, Yamir Moreno and Changqing Cheng

Markov property of the Super-MAG auroral electrojet indices

Simone Benella, Giuseppe Consolini, Mirko Stumpo, Tommaso Alberti and Jesper W. Gjerloev

Beyond linear correlation: Strong nonlinear structures in diurnal temperature range variability over southern China

Huanhuan Gong and Zuntao Fu

Stochastic differential equation models for tumor population growth

Mahmoud B.A. Mansour and Asmaa H. Abobakr

Superstatistical approach of the anomalous exponent for scaled Brownian motion

M.A.F. dos Santos, L. Menon and D. Cius

New results on T–S fuzzy sampled-data stabilization for switched chaotic systems with its applications

R. Vadivel, S. Sabarathinam, Yongbao Wu, Kantapon Chaisena and Nallappan Gunasekaran

Fast image encryption algorithm based on multi-parameter fractal matrix and MPMCML system

Hongyu Zhao, Shengsheng Wang and Xingyuan Wang

Effects of noise on bursting phenomenon and bifurcation in glucose-insulin regulation system

Hao Dai, Zikun Han and Qiubao Wang

Cooperation in regular lattices

Lucas S. Flores, Marco A. Amaral, Mendeli H. Vainstein and Heitor C.M. Fernandes

A new predefined-time sliding mode control scheme for synchronizing chaotic systems

Mengjiao Zhang, Hongyan Zang and Luyuan Bai

Replicator dynamics of public goods game with tax-based punishment

MingYuan Li, HongWei Kang, XingPing Sun, Yong Shen and QingYi Chen

A time power-based grey model with Caputo fractional derivative and its application to the prediction of renewable energy consumption

Yonghong Zhang, Shouwei Li, Jingwei Li and Xiaoyu Tang

Material coordinate driven variable-order fractal derivative model of water anomalous adsorption in swelling soil

Peibo Tian and Yingjie Liang

New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies

Zhenya Yan

On a coupled nonlocal nonlinear Schrödinger system

Jia-Liang Ji, Yue Kai, Zong-Wei Xu and Li-Yuan Ma

Influence of temperature and noise on the propagation of subthreshold signal in feedforward neural network

Shiqi Dai, Lulu Lu, Zhouchao Wei, Yuan Zhu and Ming Yi