Chaos, Solitons & Fractals

2002 - 2026

Current editor(s): Stefano Boccaletti and Stelios Bekiros

From Elsevier
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2026, volume 210, articles P2

Free and anchored multi-arm spiral waves in excitable media

Sergei F. Pravdin, Evgeniy Y. Kuklin, Pavel A. Chistyakov and Alexander V. Panfilov

Precursor-guided soft recurrence and topological proxy representation learning for early warning of coal and gas outbursts

Chengfei Liu, Zhonghui Li, Enyuan Wang, Jiankun Xu and Yubao Zhao

Spatial pattern formation induced by cross-diffusion in a mussel–algae system

Gaihui Guo, Huifeng Shen, Xiaoyi Yang and Sajad Jafari

Nonlinear marginal returns in higher-order public goods games

Yihang Zhu, Xiao-Pu Han, Longqing Cui and Fanyuan Meng

Modeling and analysis of liver dynamics via fractional differential equations and Bernstein polynomial-based neural networks

Paras Varshney, Govind Raj Naunyal, Sachin Kumar and David Laroze

Excitation control of superposed annular dual-breather in a (2+1)-dimensional PT-symmetric coupler

Hong-Yu Wu

Nonequilibrium metastability and trajectory-space transitions in nonlinear quantum oscillators with reservoir memory

Reem Altuijri and Abdel-Haleem Abdel-Aty

Hybrid Whale-Grey Wolf Optimization Algorithm-based FOPIDD3 control with AHP-TOPSIS evaluation for disturbance-resilient tethered UAV systems

Noorulden Basil, Hamzah M. Marhoon and Abdullah Fadhil Mohammed

A study on the exact controllability of stochastic impulsive fractional integro-differential evolution equations under nonlocal conditions employing resolvent operator techniques

Hasanen A. Hammad and Doha A. Kattan

An alternative lattice Boltzmann model for tempered time-fractional flows through porous media

Junjie Ren and Xiaoli Yang

Zabusky–Kruskal-type experiment for internal waves under Eckart resonance conditions

Z.V. Makridin, A.K. Khe, H. Zhou and J. He

YOLO-based semantic adaptive steganography driven by a locally active memristor hyperchaotic system

Lilian Huang and Jinming Li

Analysis of synchronous clusters in the human connectome using the spectral block method

Karan K.H. Manjunatha, Paul Didier Kamdem Kuate, Joakim Vianney Ngamsa Tegnitsap, Feng Zhu, Yafang Dong, Wei Zhang, Pedro Antonio Valdes-Sosa, Mattia Frasca, Stefano Boccaletti and Ludovico Minati

Fractal and spectral dimensions as determinants of thermal ablation outcomes in cancer tissues

Mario Olmo-Fajardo, Alexander López, Malte Henkel and Sébastien Fumeron

Modeling cross-species and environmental transmission of brucellosis: Stability, persistence, and optimal control

Farhan Hakeem Muhammad, Wei Zhang, Ming-Tao Li and Huimin Bai

Modeling coupled cascading failures in higher-order networks

Jiaying Yang, Jianlin Zhou, An Zeng and Ying Fan

The effect of HVDC lines in power-grids via Kuramoto modelling

Kristóf Benedek and Géza Ódor

AI-driven stabilization in power grids through controlling line admittances

Sangjoon Park, Hoyun Choi, Yongsun Lee, Seungchan Jo, Jürgen Kurths and B. Kahng

Revealing correlations between b-value and complex networks critical exponent

Fernanda Martin and Denisse Pastén

Forcing among exact patterns of triods

Sourav Bhattacharya

Multiscale integration of pairwise and higher-order fMRI-based functional connectivity in hypergraph neural networks enhances autism spectrum disorder classification

Elena N. Pitsik, Semen A. Kurkin and Alexander E. Hramov

Prescribed-time consensus tracking of nonlinear multi-agent systems under DoS attacks with full-state triggering

Qiang Yang, Qingkun Yu, Libing Wu and Shuyan Qi

Differential photonic quantum memristor–modulated hopfield neural network with secure IoMT federated learning

Mehmet Sağbaş and Shahram Minaei

S-box generation through 2D Schaffer–Gompertz chaotic map and CHDNA-SNEA optimization algorithm

Saba Naz, Zohaib Zahid, Rashad Ali and Muhammad Kamran Jamil

A spectral PINN approach to unresolved-scale closure in multiscale dynamics

Pengyu Lai, Dewu Yang, Rui Wang, Jing Wang and Hui Xu

Multiple-torus intermittency routes to hidden strange nonchaotic attractors in a piecewise-smooth system without equilibrium points

Qian Xiang, Yunzhu Shen, Wei Liu and Dan Wang

Fixed-time prescribed performance adaptive output feedback control of hydraulic systems without initial error constraint

Zhangbao Xu, Zhiqiang Chen, Maokun Zhang, Zhenle Dong, Hao Shen and Jianyong Yao

Engineering breathers in a weakly dissipative nonlinear electrical transmission line

Emmanuel Kengne and Ahmed Lakhssassi

Quartic spatiotemporal dissipative soliton in multimode mode-locked fiber lasers

Huaiwei Zhang, Ming Sun, Jiying Peng, Fengping Yan, Yu Li, Xinyang Su and Yi Zheng

Kinetic SIS opinion-driven models with asymmetric awareness feedback: Macroscopic limit and polarization

J.P. Pinasco, Nicolas Saintier, Horacio Tettamanti and Mattia Zanella

Time-delay-regulated self-pulsation of a hydrogel layer under constant light

Huailei Peng, Yunlong Qiu and Xingui Zhou

Energy competition dynamics of dichromatic solitons in pure quartic vector fiber lasers

Zhizeng Si, Zhiwen He, Kerun Lu, Yi Zhou, Tao Wang, Bo Ren, Zhenqiang Tang, Can Li, Jinyong Leng and Pu Zhou

Effective memory-one state representations for reinforcement learning in spatial social dilemma games

Huizhen Zhang, Ran Zhang, Juan Li and Zhen Wang

Discrete Bogdanov–Takens bifurcations of linear θ-method for delay differential equations

Yingxiang Xu, Jia Jiao, Jiaxin Yang and Ji Jiao

Impact of spin canting and Dzyaloshinskii–Moriya interaction on the dynamics of collision of solitons in non-collinear ferromagnetic thin film

Neja Prinsa N. and Parasuraman E.

Light-driven separation in mixed particles with small activity differences

Weirong Zhong

Local stability and Hopf bifurcation in a three-strategy eco-evolutionary game

Adenike Yeside Adetowubo and Gang Zhang

Dynamic analysis of vaccine information feedback and transmission in dual-layer networks based on hypergraph evolution rules

Rongrong Yin and Dongshuang Hou

The autonomous selection mechanism on higher-order networks promotes group cooperation

Jiaoyuan Wang and Yanlong Yang

Noise-induced elimination of sticking and stepwise bounce dynamics in a bouncing-ball system

Naohiko Inaba, Shu Karube, Munehisa Sekikawa and Takuji Kousaka

Customizing multi-wing chaotic attractor via dynamics editing

Wangyu Liu, Chunbiao Li, Tengfei Lei, Zuohua Liu and Guanrong Chen

m-transitivity and Li–Yorke n-chaos

Jingmin Pi and Qigui Yang

Hybrid forcing control of entrainment transitions

Junyi Zheng, Changgui Gu, Jiangsheng Wang and Guolin Wu

From hyperbolic to non-hyperbolic dynamics in open gravitational billiards: An entropy and scaling law approach

P. Haerter, A.F. Bosio, E.D. Leonel, M.A.F. Sanjuán and R.L. Viana

FRAC-PPO: Fixed-Resource Adaptive Coordination Proximal Policy Optimization for spatial public goods games

Baolong Chai, Zhaoqilin Yang, Tianqi Liu, Hongxin Zhao and Youliang Tian

Elucidating the indirect relaxation mechanism’s impress on the IR spectral profiles of H-bonded complexes: A benchmark for quantum and quantum-classical methods

Zakia Hassan Alhashem and Najeh Rekik

Nonlinear dynamics of square-root higher-order topological corner states in a decorated honeycomb lattice

Senjian Wu, Sheng Xu, Jinbo Fan, Feng Wen and Zhenkun Wu

Dynamic event-triggered cooperative control of nonlinear time-delay multi-agent systems subject to performance constraints and external disturbances

Zhao-Yi Zong, Fen-Fen Guan, Shan-Liang Zhu, Yu-Qun Han and Qing-Hua Zhou

Granular discharge in eccentric silos regulated by vibrating insert: Chaotic dynamics evolution and unified scaling law

Zichun Yu, Honghai Zhang, Jian Li, Hang Li, Guangyang Hong, Qijun Zheng, Aibing Yu and Shuang Liu

Optimal behavioral intervention for a cross-diffusion host-vector model with spatial heterogeneity

Yonghui Ren and Peng Wu

Global dynamics in a duopoly game with ESG penalty factors and corporate social responsibility

Yimeng He, Ningting Su, Yifan Zhu, Xiaole Yue and Zifei Lin

The radial Newton problem: Nonlinear dynamics of minimal resistance in central fields

Rafael López

Correlations and fluctuations in monodimensional chains of Lennard-Jones oscillators

Ruiqi Sun, Lamberto Rondoni and Federico Frascoli

Delayed random walks: Identification with neural networks

Dávid András Horváth and Tamás Kalmár-Nagy

RHAO-based nonlinear fuzzy fault-tolerant steering control for UMSVs with sensor fault detection and on-demand compensation

Xuelin Zhang, Lanqi Yang, Ran Li, Lei You, Xiaobin Xu, Jianning Li and Feng Ma

Fractional-order gap solitons in spin–orbit coupling Bose–Einstein condensate with a honeycomb optical lattice

Xi Zhao, Pu Tu, Bao-Long Xi, Kai-Hua Shao, Jin-Ming Gou, Zhong-Hong Xi and Yu-Ren Shi

Dissipative surface solitons in two-dimensional truncated lattices with linear gain and loss

Changming Huang, Yan Wang, Pengcheng Liu, Qidong Fu and Liangwei Dong

Reinforcement learning-based distributed adaptive consensus control for stochastic non-affine multi-agent systems subjected to switching topologies and hybrid uncertainties

Yuxuan Chang, Zheng Wang, Yali Wei, Jiatong Li, Xin Ning and Zhansheng Chen

Fractional Cauchy problems for time-changed Pearson diffusions: Explicit solutions and conditional moments

Phiraphat Sutthimat and Phisitphong Ketrat

Exact solitary waves in pre-compressed granular media

Sarfaraz Ahmed, Ujala Rehman, Jianbo Fei, Muhammad Irslan Khalid and Xiangsheng Chen

Bistable discrete memristor-based hyperchaotic neuron model and hardware implementation for image encryption

Jin Li, Sen Zhang, Ziru Wang, Siyao Lu and Xin Ding

Firing behaviors and attractor regulation of a dual-coupled HR–HNN neural network with a locally active memristor

Xule Chen, Fuhong Min, Yichen Zhu and Di Wu

Exact waveguide backbones for sparse precursors to tropical-cyclone rapid intensification

Zi-Liang Li

Stationary-soliton fractals in a mode-locked laser

Ziyi Xie, Yiran Ni, Xiuqi Wu, Tianhao Xian, Junsong Peng and Heping Zeng

A stochastic coarse-grained liquidity model for local distress propagation in financial networks

Pol Arenas-Garcia and Alex Arenas

On the optimal design of stochastic resonance system based on Bayesian optimization

Zhida Chen, Wenqi Huang, Zhibao Li and Hongqiao Wang

Strategic commitments shape collective cybersecurity under AI inequality

Adeela Bashir, Zia Ush Shamszaman, Zhao Song, Matjaz Perc and The Anh Han

Multistability and control of strange nonchaotic dynamics in a quasiperiodically forced cantilever beam system with impacts

Gaolei Li, Qingyi Ye, Haobo Wang, Xin Wu and Xiaodong Wang

Rich spectrum of data-driven soliton phenomena by using the advanced artificial neural networking

Muhammad Zafarullah Baber, Fengping Yao and Muhammad Qasim

Bifurcation and chaotic dynamics of the damped nonlinear Schrödinger equation with soliton solutions

Majeed Ahmad Yousif, Zehra Pinar Izgi, Carlos Lizama, Meraa Arab and Pshtiwan Othman Mohammed

Sequential Signal Masking: A nonlinear dynamical control model for parental resource allocation validated by longitudinal cohort data

Yang Yang

Filter-driven control of harmonic mode locking in PM fiber soliton laser

Dmitry Korobko, Valeria Ribenek, Pavel Itrin, Galina Tertyshnikova and Andrei Fotiadi

Parallel optical chaotic comb generation in an SOA-based fiber ring laser with an unbalanced polarization-maintaining Sagnac loop

Chongyu Huang and Fei Wang

2026, volume 210, articles P1

AGC of an electric power system utilizing WHO-optimized FOID-FOPTID control scheme

Ravi Choudhary, J.N. Rai and Yogendra Arya

Stiffness tuning mechanism and nonlinear dynamics in bidirectionally graphene-reinforced TC4 blade-hub system under aerodynamic loads

H. Feng, Y.F. Zhang, W. Zhang, B.L. Zhou, Y.C. Teng, S.M. Lu and X. Xu

Synchronization and anti-synchronization of multi-layer reaction–diffusion neural networks under bidirectional attacks via a resilient event-triggered mechanism

Guici Chen, Yangyang Li, Leimin Wang, Shiping Wen and Quanxin Zhu

A Transformer-weakly coupled ensemble data assimilation framework for error correction

Manhong Fan, Yonglong Bai, Lin Ding, Qinghe Yu and Qian Xiao

Fractional-order asymmetric memristive hyperchaotic oscillator with adjustable hysteresis width and its application in underwater unmanned vehicle detection

Feng Liu, Zipeng Li, Kunde Yang and Fuhu Chen

Uniform asymptotics of the Pseudo Wigner–Ville Distribution for nonlinear chirps

Vincenzo Pierro, Maurizio Feo, Maurizio Ricciardi, Rocco P. Croce, Theo Demma, Innocenzo M. Pinto and Paolo Addesso

Multiscale nonlinear dynamics of DNA-grafted microcantilevers driven by electro-chemo-mechanical strain-stiffening

Yaobing Zhao, Yaping Liu, Lincong Chen, Jian Peng and Ceshi Sun

Critical resetting and a maximum-resistance regime in long-memory fractional stochastic systems

Chendrayan Dineshkumar and Yuguo Yu

Heterogeneous-speed recurrent neural networks: Multi-timescale dynamics for fast and stable motion perception

Xiaoteng Zhang, Shan Lu, Zhiyuan Ning, Yingjie Zhu and Li Shi

BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials

A. Alonso-Izquierdo, M.A. González León, A. González-Parra and J. Martín-Vaquero

Climate-induced transition in dryland vegetation patterns in presence of grazing

Jayita Koley, Kalyanashis Sahoo, Santu Ghorai and Swarup Poria

Quarter-wave plate metasurfaces for generating full elliptical polarization vector beams via linear polarization tunability

Wenxin Wang, Haoyan Zhou, Yuantao Wang, Yuchen Xu, Manna Gu, Chen Cheng, Duk-Yong Choi, Chuanfu Cheng and Chunxiang Liu

Coherent control of polarization-dependent spatio-temporal solitons in chiral quantum-dot nanostructures

Muhammad Idrees, Abeer S. Altowyan, Jabir Hakami, Xiaosen Yang, Yuee Xie and Yuanping Chen

An improved symplectic geometric mode decomposition and time-shifted multi-scale fusion entropy approach for transformer partial discharge fault diagnosis

Haikun Shang, Jiaxue Yan, Mingxue Wang, Yuenan Zheng, Yuecheng Jiang and Yang Li

Geometrically constrained multi-kink configurations in generalized impurity-doped field theories

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

Image encryption algorithm based on 2D-CICFM using cross-granularity sinusoidal-Joseph coupled permutation and bidirectional interleaved-bitplane diffusion

Yuxuan Liu and Xingbin Liu

Stitching-induced asymmetric topological interface states and solitons in trimer lattices

Longbo Yang, Sheng Xu, Senjian Wu, Feng Wen and Zhenkun Wu

PT-symmetry, interaction-induced PT-symmetry breaking, and phase scattering in multi-ring solitons with balanced gain–loss waveguides

Vineesh Kumar and Arpit Verma

Dynamic stability of a stochastic vegetation-water model in arid ecosystems

Hongxia Zhang, Youming Lei, Zigang Li, Jun Su and Wei Xu

Design of accelerated learning algorithms based on FOPI control

Yuquan Chen, Wenchao Hong and Bing Wang

An approximate grossly determined solution to a simplified BGK equation

Mrigendra Manjul and Dheerendra Bahadur Singh

Dynamic stability enhancement and mechanism analysis of a 15 MW wind turbine supported by a novel tree-like fractal floating platform

Bo Qin and Weidong Li

A novel parameter-controlled multiscroll memristive chaotic system with application to design five-element finite field encryption algorithm

Zeng-Jun Xin, Qiang Lai and Yuanmao Zhong

Mitigating false signals in crypto-asset trading using a binary confirmation mechanism integrating AI-driven signal validation and financial signal processing

Seçkin Karasu

Nonreciprocal alignment as a minimal mechanism for tunable collective chirality

Tao Wang, Yanan Li and Xingguang Peng

Macroscopic dynamics of noise-driven Izhikevich neural networks

Jiajing Liu, Chengyu Hu, Chang Liu and Zhigang Zheng

Rotating wave dynamics and multistability in a unidirectional ring of Hindmarsh–Rose neurons

Alexander N. Pisarchik

Modulating explosive synchronization with weighted pairwise and higher-order interactions

Min Ji, Haiyan Fu, Pengfei Ji, Haisheng Deng and Tengfei Lei

Algebraic reduction of fractional systems: Analytical solutions and memory-induced soliton deformation

Inga Telksnienė, Tadas Telksnys, Romas Marcinkevičius, Zenonas Navickas, Raimondas Čiegis and Minvydas Ragulskis

Strongly chirped dissipative solitons in normal and anomalous dispersion regimes

V.L. Kalashnikov, E. Sorokin, A. Rudenkov and I.T. Sorokina

Coupling of odd force and odd mobility induces nonmonotonic diffusion in a chiral Kob–Andersen mixture

Xin-yu Jiang, Rui-xue Guo and Bao-quan Ai

A framework for chaotic signature classification: Insights from Chua’s circuit

Sara Becchi, Elisabetta Spinazzola, Serhii Haliuk, Fernando Corinto, Leon O. Chua, Fabio Pareschi, Dmytro Vovchuk and Jacopo Secco

Nonlinear stochastic coupling-enhanced reservoir computing for state prediction of chaotic systems

Silu Li, Jinqian Feng, Jin Su, Qin Guo and Youpan Han

From semi-field to endemic setting: Modeling the impact of symbiotic bacteria release on dengue transmission in Kerala

Yan Wang, Huan Ma and Zhichun Yang

Redefining embedding robustness: A Wasserstein-based analysis of delay–dimension dynamics

Tsuyoshi Miyata, Atsushi Ichikawa and Takayuki Sato

Modulational instability and numerically persistent solitary waves in a fractional Gross–Pitaevskii equation with Gaussian nonlocal interactions

Shiyu Li

Nonlinear dynamics and chaos in cracked FGM rectangular plates under thermal variations

Dayang Li, Duoduo Tang, Hao Wang, Maosen Cao and Emil Manoach

Constructing multi-cavity attractors in discrete Hopfield neural system via pulse control

Zeping Zhang, Huihai Wang, Xiongjian Chen, Mingzhen Mao and Kehui Sun

Information bottleneck-based correlation analysis with graph neural ODEs for network reconstruction

Bing Wang, Haowei Zhang and Yuexing Han

Stability, bifurcation and chaos in evolutionary dynamics of a spatiotemporal Prisoner’s Dilemma Game with payoff delay

Yu Wang, Huijun Xiang, Huidong Cheng and Xinzhu Meng

Phase transitions and global bifurcations in asymmetric q-state Potts models on arbitrary Cayley trees

Hasan Akın and Ferhat Sah

Novel approach to time series forecasting based on memristive Hopfield Neural Network with hidden heterogeneous and homogeneous extreme multistability

Fei Yu, Rongyao Guo, Mingfang Zheng, Wei Yao, Dadu Zhang and Shuo Cai

Gauge-invariant coherent structures and modulational instability in a stochastic Yajima–Oikawa system

Ahmed H. Arnous, Kamyar Hosseini, Muhammad Amin S. Murad, Yakup Yildirim and Nehad Ali Shah

Practical finite-time synchronization of fractional-order networks under dead-zone outputs and application in secure communication

Wenxiang Fang, Quanxin Zhu and Zhaohai Ma

Effect of rewiring for a sandpile model on a directed network

Alejandro Zamorano and Víctor Muñoz

Collective dynamics and accelerated distributed optimization on cooperation–competition complex networks

Jiaxu Liu, Hanlin Wang, Shengze Cai and Chao Xu

Spatiotemporal rotating waves near equivariant Hopf singularity in the delayed Lengyel–Epstein model with cross-diffusion on a 2D square domain

Xun Cao, Weihua Jiang and Qinghua Jiang

Soliton bimodality and tunable Cherenkov radiation near zero dispersion induced by third-order dispersion

Lin-Guang Guo, Yong Yao, Hao-Xue Qiu, Song-Ting Li, Cheng-Da Ge, Jin-Wei Zhang, Jia-Jun Tian, Xiao-Chuan Xu, Jia-Nan Duan, Xiao Hu and Ding-Yuan Tang

Chaos induced stability of topological helicity inversion in gain-assisted resonant media

Muhsin Hayat, Muhammad Asif and Farah Mohammad

An integrated multi-dimensional framework for real-time traffic risk prediction and its simulation-based verification in path planning

Dan Wu, Minglan Xiong and Yiik Diew Wong

Complete synchronization in Hindmarsh–Rose neuronal networks through the interplay of electrical and chemical synaptic higher-order interactions

Premraj Durairaj, Sathiyadevi Kanagaraj and Zhigang Zheng

Coevolutionary dynamics of higher-order interactions and strategic behavior in social dilemmas

Hao Yu, Xingfu Ke, Junjie Fu and Fanyuan Meng

The effect of payoff-driven preferential selection in spatial public goods game on hypergraphs

Wenxing Ye, Luliang Wen and Suohai Fan

Adaptive punishment in public goods games

Jiliang Zhang, Yinzuo Zhou, Jin Wang, Yi-Cheng Zhang and Fanyuan Meng

Cooperation dynamics under fine redistribution and mercenary punishment in public goods games

Yong Shen, Pinghao Luo, Hongwei Kang, Xingping Sun, Qingyi Chen and Gensen Liu

Efficiency improvement and uncertainty quantification of stochastic resonance based tristable energy harvesting models

Yajie Zhai, Ranran Wang and Yanmei Kang

Soliton profiles in 1D: Classical numerical schemes vs. neural network-based solvers

Chandler Haight, Svetlana Roudenko and Zhongming Wang

Risk-driven smart buffer optimization for metro crowd control

Xiaoxia Yang, Guoqing Zhang, Chenxu Liu, Baolong Shi, Xie, Chuan-Zhi (Thomas), Shuchao Cao and Zhilu Yuan

Stability and bifurcations of a minimal model for the effect of PrEP-related risk compensation in epidemics of sexually transmitted infections

Piklu Mallick, Laura Müller, Antonio B. Marín-Carballo, Philipp Dönges and Seba Contreras

Rare events and redundancy in random walkers target search in a finite domain

Elisabetta Ellettari, Giacomo Nasuti, Alberto Bassanoni, Alessandro Vezzani and Raffaella Burioni

Numerical study of a Belyakov degenerate T-point in the Lorenz system

A. Algaba, M. Merino and A.J. Rodríguez-Luis

Dynamic event-triggered H∞ state estimation of switched NNs subject to ADT constraint and time-varying measurement delay

Qiang Li, Mingzhen Hu, Feifei Du, Xiaohang Li, Shuo Ma and Yangang Yao

Soliton bunch dynamics in soliton rain induced by noise-mediated interaction in a mode-locked fiber laser

Yifeng Wang, Zhifeng Shi, Qiyang Zhou, Zhi Wang, Yan-ge Liu and Pan Wang

Comprehensive evaluation of self-healing in airy-type vortex beams under multiple obstruction conditions

Huangwei Li, Yilei Zhang, Haoyuan Ding, Zhangting Wang, Hongfei Gao, Yujia Dai and Ziyuan Liu

Targeted adaptive chaos control of regimes and eddy strength in two Lorenz models

Moyan Liu, Qin Huang and Upmanu Lall

Two-dimensional function-shaped hyperchaotic maps and their hardware implementation

Xiaosheng Feng, Yuke Tang, Tingkai Zhao, Yuqi Wei, Xinyan Wang and Baoxiang Du

Energetic regulation of spiral waves by time delays and higher-order interactions

Ying Xu and Fuqiang Wu

Three-dimensional solitons in dipolar coupled atomic–molecular Bose–Einstein condensates with PT-symmetric photonic lattices

Zeping Li, Linjia Wang, Jiajun Zhou, Yuan Zhao, Boris A. Malomed, Huihong Gong and Siliu Xu

Degree-dependent learning and teaching activities shape cooperation in scale-free networks

Xingyu Wu, Xiaoqian Zhao and Kaipeng Hu

Dynamics of competitive information propagation on hypergraphs

Qian Yin, Yicong Wan, Zhishuang Wang, Linyuan Guo and Zhiyong Hong

Matter-wave pattern formation in a quasi-two-dimensional dipolar Bose–Einstein condensate with Lee–Huang–Yang correction

Zeyun Shi, Lu Qin, Yao Ou, Yingying Zhang, Shengqiang Chen, Yuan Zhou, Zunlue Zhu, Xingdong Zhao and Xiaoqiang Ban