Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2021, volume 152, articles C

Asymptotic analysis to domain walls between traveling waves modeled by real coupled Ginzburg-Landau equations

Yue Kai and Zhixiang Yin

Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations

P. Balasubramaniam

A stability criterion for fractional-order complex-valued differential equations with distributed delays

Zichen Yao, Zhanwen Yang and Yusong Zhang

Lag synchronization of nonlinear dynamical systems via asymmetric saturated impulsive control

Hongjuan Wu, Chuandong Li, Zhilong He, Yinuo Wang and Yingying He

Dynamics of two models of driven extended jerk oscillators: Chaotic pulse generations and application in engineering

Fabien Kenmogne, Samuel Noubissie, Guy Bertrand Ndombou, Eric Tala Tebue, Armel Viquit Sonna and David Yemélé

Study on chaos of nonlinear suspension system with fractional-order derivative under random excitation

Enli Chen, Wuce Xing, Meiqi Wang, Wenli Ma and Yujian Chang

Multifractal theory based breast tissue characterization for early detection of breast cancer

Annie Julie Joseph and P.N. Pournami

Modeling innovation efficiency, its micro-level drivers, and its impact on stock returns

Ebenezer Fiifi Emire Atta Mills, Kailin Zeng, Liu Fangbiao and Li Fangyan

High-efficiency chaotic time series prediction based on time convolution neural network

Wei Cheng, Yan Wang, Zheng Peng, Xiaodong Ren, Yubei Shuai, Shengyin Zang, Hao Liu, Hao Cheng and Jiagui Wu

Generalized k-cores of networks under attack with limited knowledge

Yilun Shang

A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application

Akif Akgül, Karthikeyan Rajagopal, Ali Durdu, Muhammed Ali Pala, Ömer Faruk Boyraz and Mustafa Zahid Yildiz

Contagion in simplicial complexes

Zhaoqing Li, Zhenghong Deng, Zhen Han, Karin Alfaro-Bittner, Baruch Barzel and Stefano Boccaletti

Dynamic analysis of a harvested fractional-order biological system with its discretization

Sadiq Al-Nassir

Identifying influential nodes in social networks: A voting approach

Panfeng Liu, Longjie Li, Shiyu Fang and Yukai Yao

Responses to COVID-19 in South Asian Association for Regional Cooperation (SAARC) countries in 2020, a data analysis during a world of crises

Yashpal Singh Malik, Vinodhkumar Obli Rajendran, Ikram Ma, Tripti Pande, Karthikeyan Ravichandran, Nagaraj Jaganathasamy, Balasubramanian Ganesh, Aridoss Santhakumar, Sina Salajegheh Tazerji, Md. Tanvir Rahman, Muhammad Safdar, Zunjar B Dubal and Kuldeep Dhama

Dynamics and simulations of a second order stochastically perturbed SEIQV epidemic model with saturated incidence rate

Chun Lu, Honghui Liu and De Zhang

Discrete quantum droplets in one-dimensional optical lattices

Fei-yan Zhao, Zi-teng Yan, Xiao-yan Cai, Chao-long Li, Gui-lian Chen, He-xiang He, Bin Liu and Yong-yao Li

Block-centered local refinement methods for the time-fractional equations

Qing Guo and Hongxing Rui

Hyperchaotic and quasiperiodic behaviors of a two-photon laser with multi-intermediate states

Elsayed Barakat, M. Abdel-Aty and I.L. El-Kalla

Oscillatory motion of dissipative solitons induced by delay-feedback in inhomogeneous Kerr resonators

F. Tabbert, S.V. Gurevich, K. Panajotov and M. Tlidi

Double image encryption algorithm based on neural network and chaos

Zhenlong Man, Jinqing Li, Xiaoqiang Di, Yaohui Sheng and Zefei Liu

Magnetic coupling based control of a chaotic circuit: Case of the van der Pol oscillator coupled to a linear circuit

J.V. Ngamsa Tegnitsap, H.B. Fotsin and E.B. Megam Ngouonkadi

Foreign currency exchange rate prediction using non-linear Schrödinger equations with economic fundamental parameters

Agus Kartono, Siti Solekha, Tony Sumaryada and Irmansyah,

Cellular transport through nonlinear mechanical waves in fibrous and absorbing biological tissues

W. Domgno Kuipou, A. Mohamadou and E. Kengne

The nonlinear characteristics of the pulsations, translations and the secondary Bjerknes force

Lingling Zhang, Weizhong Chen, Yang Shen, Yaorong Wu and Guoying Zhao

Global quasi-synchronization of complex-valued recurrent neural networks with time-varying delay and interaction terms

Ankit Kumar, Subir Das, Vijay K. Yadav and Rajeev,

Fractional-order design of a novel non-autonomous laser chaotic system with compound nonlinearity and its circuit realization

Jieyang Wang, Jun Mou, Li Xiong, Yingqian Zhang and Yinghong Cao

Stochastic probical strategies in a delay virus infection model to combat COVID-19

M. Pitchaimani and M. Brasanna Devi

Optimal impulsive blood glucose control through multiple injections

Alireza Mirzaee, Maryam Dehghani and Mohsen Mohammadi

Bermudan options pricing formulas in uncertain financial markets

Zeyu Pan, Yin Gao and Lin Yuan

Local and implied volatilities with the mixed-modified-fractional-Dupire model

Eric Djeutcha and Jules Sadefo Kamdem

Optimal harvesting strategy based on uncertain logistic population model

Lifen Jia and Xueyong Liu

On a heavy-tailed distribution and the stability of an equilibrium in a distributed delay symmetric network

Israel Ncube

Multifractal behavior relationship between crypto markets and Wikipedia-Reddit online platforms

Şahin Telli and Hongzhuan Chen

Investigation of complex behaviour of fractal fractional chaotic attractor with mittag-leffler Kernel

Sayed Saifullah, Amir Ali and Emile Franc Doungmo Goufo

Numerical technique based on the interpolation with Lagrange polynomials to analyze the fractional variable-order mathematical model of the hepatitis C with different types of virus genome

M.M. Khader and Mustafa Inc

Multiple coexisting analysis of a fractional-order coupled memristive system and its application in image encryption

Yongbing Hu, Qian Li, Dawei Ding, Li Jiang, Zongli Yang, Hongwei Zhang and Zhixin Zhang

On the nonlinear (k,Ψ)-Hilfer fractional differential equations

Kishor D. Kucche and Ashwini D. Mali

Monitoring a chemical reaction using pH measurements: An approach based on multiscale fractal analysis

Rolando Zenteno-Catemaxca, Jazael G. Moguel-Castañeda, Victor M. Rivera, Hector Puebla and Eliseo Hernandez-Martinez

Cluster synchronization of nonlinearly coupled Lur’e networks: Delayed impulsive adaptive control protocols

Deli Xuan, Ze Tang, Jianwen Feng and Ju H. Park

Ergodic property, extinction and density function of a stochastic SIR epidemic model with nonlinear incidence and general stochastic perturbations

Baoquan Zhou, Bingtao Han and Daqing Jiang

Chaos-induced Set–Reset latch operation

Yuangen Yao, Jun Ma, Rong Gui and Guanghui Cheng

Leveraging weather data for forecasting cases-to-mortality rates due to COVID-19

Ogechukwu Iloanusi and Arun Ross

Scale invariance behavior for pre and post-2015 Nepal Gorkha earthquake GPS time series based on fractal analysis

Sandeep K. Gupta, P.N.S. Roy and S.K. Pal

Stochastic resetting in the Kramers problem: A Monte Carlo approach

Julia Cantisán, Jesús M. Seoane and Miguel A.F. Sanjuán

Nonlinear damping effects in a simplified power grid model based on coupled Kuramoto-like oscillators with inertia

P.A. Arinushkin and T.E. Vadivasova

Stochastic effects on an HIV/AIDS infection model with incomplete diagnosis

Feng Rao and Junling Luo

Stability, bifurcation and chaos control of a discretized Leslie prey-predator model

S. Akhtar, R. Ahmed, M. Batool, Nehad Ali Shah and Jae Dong Chung

The impact of immunotherapy on a glioma immune interaction model

Subhas Khajanchi

Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method

Esin Ilhan, P. Veeresha and Haci Mehmet Baskonus

Bursting and complex oscillatory patterns in a gene regulatory network model

Wen Lu, Yuhao Zhang, Yu Qian, Vikas Pandey, Zhilin Qu and Zhaoyang Zhang

Mathematical modeling approach of cancer immunoediting reveals new insights in targeted-therapy and timing plan of cancer treatment

Mojtaba Ghanizadeh, Seyed Peyman Shariatpanahi, Bahram Goliaei and Curzio Rüegg

Dynamics analysis, hardware implementation and engineering applications of novel multi-style attractors in a neural network under electromagnetic radiation

Fei Yu, Hui Shen, Zinan Zhang, Yuanyuan Huang, Shuo Cai and Sichun Du

Quaternionic views of rs-fMRI hierarchical brain activation regions. Discovery of multilevel brain activation region intensities in rs-fMRI video frames

Arjuna P.H. Don, James F. Peters, Sheela Ramanna and Arturo Tozzi

Two component model of microtubules and continuum approximation

S. Zdravković, S. Zeković, A.N. Bugay and J. Petrović

Effect of reputation-based heterogeneous investment on cooperation in spatial public goods game

Xiaojian Ma, Ji Quan and Xianjia Wang

Effect of local dissociation on symmetry breaking in exclusion model constituted by bridge lane and input-output TASEPs

Akriti Jindal and Arvind Kumar Gupta

Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics

Fei-Yan Liu, Yi-Tian Gao, Xin Yu, Lei Hu and Xi-Hu Wu

The soccer game, bit by bit: An information-theoretic analysis

Luis Ramada Pereira, Rui J. Lopes, Jorge Louçã, Duarte Araújo and João Ramos

Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers: I. Retarding case

Emad Awad, Trifce Sandev, Ralf Metzler and Aleksei Chechkin

Complexity analysis of production, fertilizer-saving level, and emission reduction efforts decisions in a two-parallel agricultural product supply chain

Xuan Xi and Yulin Zhang

A data-driven model for COVID-19 pandemic – Evolution of the attack rate and prognosis for Brazil

T.M. Rocha Filho, M.A. Moret, C.C. Chow, J.C. Phillips, A.J.A. Cordeiro, F.A. Scorza, A.-C.G. Almeida and J.F.F. Mendes

New exact solutions for a generalised Burgers-Fisher equation

J. Mendoza and C. Muriel

Control the collective behaviors in a functional neural network

Zhao Yao and Chunni Wang

A new technique for solving a class of strongly nonlinear oscillatory equations

M. Shamsul Alam, M. Ashraful Huq, M. Kamrul Hasan and M. Saifur Rahman

A novel chaotic circuit with coexistence of multiple attractors and state transition based on two memristors

Xujiong Ma, Jun Mou, Li Xiong, Santo Banerjee, Yinghong Cao and Jieyang Wang

Optical crystals and light-bullets in Kerr resonators

M. Tlidi, S.S. Gopalakrishnan, M. Taki and K. Panajotov

Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents

Tatyana A. Alexeeva, Nikolay V. Kuznetsov and Timur N. Mokaev

The emergence of adaptive diversification from plant's light competition

Yan-Ping Liu, Si-Yi Wang, Min-Lan Li, Feng Zhang and Rui-Wu Wang

A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative

M.S. Hashemi

An analytical formulation for multidimensional continuous opinion models

Lucía Pedraza, Juan Pablo Pinasco, Nicolas Saintier and Pablo Balenzuela

Switching dynamics of a non-autonomous FitzHugh-Nagumo circuit with piecewise-linear flux-controlled memristor

Fuhong Min, Wen Zhang, Ziyi Ji and Lei Zhang

Football: Discovering elapsing-time bias in the science of success

L. Galli, G. Galvan, T. Levato, C. Liti, V. Piccialli and M. Sciandrone

Optimal control for uncertain random singular systems with multiple time-delays

Xin Chen and Yuanguo Zhu

Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm

Lin Sun and Yiming Chen

Partial stability criterion for a heterogeneous power grid with hub structures

Vladislav Khramenkov, Aleksei Dmitrichev and Vladimir Nekorkin

Analysis of synchronous stability and control of multiplex oscillatory power network

Li-xin Yang, Bin Long, Jun Jiang and Xiao-Jun Liu

Spatiotemporal instabilities and pattern formation in systems of diffusively coupled Izhikevich neurons

Argha Mondal, Chittaranjan Hens, Arnab Mondal and Chris G. Antonopoulos

Dispersive wave propagation of the nonlinear Sasa-Satsuma dynamical system with computational and analytical soliton solutions

Eman Simbawa, Aly R. Seadawy and Taghreed G. Sugati

Controlling the libration point orbits for CRTBP with non-ideal solar sail and albedo effect

Arun Kumar Yadav, Badam Singh Kushvah and Uday Dolas

Conduction mechanism effect on physical unclonable function using Al2O3/TiOX memristors

Jinwoo Park, Tae-Hyeon Kim, Sungjoon Kim, Geun Ho Lee, Hussein Nili and Hyungjin Kim

Liquidity externality in a market of buying adjustable agents

P.K. Aal, K.R. de A. Sousa, L.S.A. de Campos Salles and M. Koehler

Attosecond soliton switching through the interactions of two and three solitons in an inhomogeneous fiber

S. Saravana Veni and M.S. Mani Rajan

Ambiplasma separation into matter and antimatter by a train of baryon-acoustic solitons in the problem of the baryon asymmetry of the Universe

Alexander E. Dubinov and Xenia I. Lebedeva

Symbolic computation on the long gravity water waves: scaling transformations, bilinear forms, N-soliton solutions and auto-Bäcklund transformation for a variable-coefficient variant Boussinesq system

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

Predicting the dynamic process and model parameters of the vector optical solitons in birefringent fibers via the modified PINN

Gang-Zhou Wu, Yin Fang, Yue-Yue Wang, Guo-Cheng Wu and Chao-Qing Dai

Investigation of fractional order differential equation for boundary functional of a semi-Markov random walk process with negative drift and positive jumps

R.A. Bandaliyev, E.A. Ibayev and K.K. Omarova

The role of alliance cooperation in spatial public goods game

Mie Wang, HongWei Kang, Yong Shen, XingPing Sun and QingYi Chen

Bifurcation of solitary and periodic waves of an extended cubic-quintic Schrödinger equation with nonlinear dispersion effects governing modulated waves in a bandpass inductor-capacitor network

Guy Roger Deffo, Serge Bruno Yamgoué and François Beceau Pelap

A fractional calculus model for HIV dynamics: real data, parameter estimation and computational strategies

V.M. Martinez, A.N. Barbosa, P.F.A. Mancera, D.S. Rodrigues and R.F. Camargo

Predicting the trend of indicators related to Covid-19 using the combined MLP-MC model

Fatemeh Haghighat

Energetic and entropic vibrational resonance

Jiahao Jiang, Kaiyuan Li, Wei Guo and Luchun Du

Effect of herd-taxis on the self-organization of a plankton community

Zhi-bin Liu, Shutang Liu, Wen Wang and Da Wang

Image encryption algorithm by fractional based chaotic system and framelet transform

M. Zarebnia and R. Parvaz

A fractional-order model of COVID-19 considering the fear effect of the media and social networks on the community

Fatma Bozkurt, Ali Yousef, Thabet Abdeljawad, Adem Kalinli and Qasem Al Mdallal

Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model

Zulqurnain Sabir, Muhammad Asif Zahoor Raja, Juan L.G. Guirao and Tareq Saeed

The rise and fall of donation behavior through reputation

Xianjia Wang, Rui Ding, Jinhua Zhao and Wenman Chen

Solitons in spin-orbit-coupled systems with fractional spatial derivatives

Liangwei Zeng, Milivoj R. Belić, Dumitru Mihalache, Qing Wang, Junbo Chen, Jincheng Shi, Yi Cai, Xiaowei Lu and Jingzhen Li

A class of computational approaches for simulating fractional functional differential equations via Dickson polynomials

H. Panj-Mini, B. Parsa Moghaddam and E. Hashemizadeh

Zero-determinant strategies in infinitely repeated three-player prisoner's dilemma game

Mohammad A. Taha and Ayman Ghoneim

Two decades of INO research on laser arrays

A. Lapucci and M. Ciofini

Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain

Meng Wang, Bo Tian and Tian-Yu Zhou

Nonlocal deformations of autonomous invariant curves for Liénard equations with quadratic damping

Dmitry I. Sinelshchikov

New equilibria of non-autonomous discrete dynamical systems

M.A. Navascués

A new analytical approach to study chaos fraction characterization by using intensity interferometry

Ghulam Bary, Waqar Ahmed, Muhammad Sajid, Riaz Ahmad, Ilyas Khan, Duohui Huang and Yue Wang

Fractal equilibrium configuration of a mechanically loaded binary tree

Javier Rodríguez-Cuadrado and Jesús San Martín

Parametric generalization of the Meyer-König-Zeller operators

Melek Sofyalıoğlu, Kadir Kanat and Bayram Çekim

Stability analysis and optimal harvesting control of a cross-diffusion prey-predator system

Tingting Ma, Xinzhu Meng, Tasawar Hayat and Aatef Hobiny

Robustness of scale-free networks with dynamical behavior against multi-node perturbation

Changchun Lv, Ziwei Yuan, Shubin Si and Dongli Duan

Exact local fractional differential equations

Kiran M. Kolwankar

Random diffusivity scenarios behind anomalous non-Gaussian diffusion

M.A.F. dos Santos, E.H. Colombo and C. Anteneodo

Bifurcation and basin stability of an SIR epidemic model with limited medical resources and switching noise

Wei Wei, Wei Xu, Yi Song and Jiankang Liu

Deterministic coherence and anti-coherence resonances in networks of chaotic oscillators with frequency mismatch

R. Jaimes-Reátegui, J.H. García-López, A. Gallegos, G. Huerta Cuellar, P. Chholak and A.N. Pisarchik

Mathematical modeling of leptospirosis: A dynamic regulated by environmental carrying capacity

María Alejandra Gallego and María Verónica Simoy

A constructive theory of shape

Vladimir García-Morales

A mathematical study on a fractional COVID-19 transmission model within the framework of nonsingular and nonlocal kernel

Newton I. Okposo, Matthew O. Adewole, Emamuzo N. Okposo, Herietta I. Ojarikre and Farah A. Abdullah

Three dimensional mixed convection flow of hybrid casson nanofluid past a non-linear stretching surface: A modified Buongiorno’s model aspects

V. Puneeth, S. Manjunatha, J.K. Madhukesh and G.K. Ramesh

Dynamical behaviour of HIV Infection with the influence of variable source term through Galerkin method

Attaullah,, Rashid Jan and Şuayip Yüzbaşı

Finite-time stability of ABC type fractional delay difference equations

Yuting Chen, Xiaoyan Li and Song Liu

Dynamics of stochastic predator-prey systems with continuous time delay

Qiumei Zhang and Daqing Jiang

Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★

Hai Zhang, Jingshun Cheng, Hongmei Zhang, Weiwei Zhang and Jinde Cao

Neural adaptive learning synchronization of second-order uncertain chaotic systems with prescribed performance guarantees

Qijia Yao

Explosive synchronization in bipartite networks

Umeshkanta Singh Thounaojam

Novel traveling waves solutions for nonlinear delayed dynamical neural networks with leakage term

Adnène Arbi

A new 4-D hyper chaotic system generated from the 3-D Rösslor chaotic system, dynamical analysis, chaos stabilization via an optimized linear feedback control, it’s fractional order model and chaos synchronization using optimized fractional order sliding mode control

Guessas Laarem

Binocular rivalry subjected to noises and time delay

Ruyin Chen, Yue Xiong, Luoluo Jiang, Zhifen He and Jiawei Zhou

Novel results on global stability analysis for multiple time-delayed BAM neural networks under parameter uncertainties

N. Mohamed Thoiyab, P. Muruganantham, Quanxin Zhu and Nallappan Gunasekaran

The design of keyed hash function based on CNN-MD structure

Yu Wang, Liquan Chen, Xingyuan Wang, Ge Wu, Kunliang Yu and Tianyu Lu

Quantitative orbit classification of the planar restricted three-body problem with application to the motion of a satellite around Jupiter

Euaggelos E. Zotos, Hind Albalawi, Tobias C. Hinse, Konstantinos E. Papadakis and José L. Alvarellos

Quasi-FM Waveform Using Chaotic Oscillator for Joint Radar and Communication Systems

Chandra S. Pappu and Thomas L. Carroll

Truncation thresholds based empirical mode decomposition approach for classification performance of motor imagery BCI systems

Eda Dagdevir and Mahmut Tokmakci

Multi-step-ahead electricity load forecasting using a novel hybrid architecture with decomposition-based error correction strategy

Deyun Wang, Chenqiang Yue and Adnen ElAmraoui

Dynamics of an fractional SEIR epidemic model with infectivity in latent period and general nonlinear incidence rate

Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir and Abdelfatah Kouidere

Asymptotic linear - nonlinear duality, indeterminism and mathematical intelligence

Dhurjati Prasad Datta

Ranking non-pharmaceutical interventions against Covid-19 global pandemic using global sensitivity analysis—Effect on number of deaths

Kalpana Hanthanan Arachchilage and Mohammed Yousuff Hussaini

How evolutionary game could solve the human vaccine dilemma

K.M. Ariful Kabir

A numerical approach for a class of nonlinear optimal control problems with piecewise fractional derivative

M.H. Heydari and M. Razzaghi

An analytical model for the effective filtration efficiency of single and multiple face masks considering leakage

Mohammed A. Boraey

On the Barashenkov-Bogdan-Zhanlav solitons and their stability

Wen Feng, Milena Stanislavova and Atanas G. Stefanov

Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator

Kolade M. Owolabi, Edson Pindza and Abdon Atangana

Discrimination information for intensity distributions of a collimated wave beam

Arkadiy Blank, Natalia Suhareva and Mikhail Tsyganov

Dynamics of an autonomous electromechanical pendulum-like system with experimentation

B. Nana, S.B. Yamgoué and P. Woafo

Analysis of time series using a new entropy plane based on past entropy

Guyue Qin and Pengjian Shang

Turing-Hopf bifurcation analysis and normal form of a diffusive Brusselator model with gene expression time delay

Yehu Lv and Zhihua Liu

A study on the resonant multi-soliton waves and the soliton molecule of the (3+1)-dimensional Kudryashov–Sinelshchikov equation

Chun-Ku Kuo

Modeling and simulation of large-amplitude ion-acoustic shocklets in degenerate quantized plasmas

S. Ali, M. Alharbi and Yas Al-Hadeethi

Existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays

Shang Gao, Keyu Peng and Chunrui Zhang