Chaos, Solitons & Fractals

2002 - 2026

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2026, volume 211, articles P2

Design and evaluation of a novel chaotic logistic-tent-sine map for S-box construction in image encryption

Amal S. Alali, Muhammad Kamran Jamil, Rashad Ali, Refah Alotaibi and Wedad Albalawi

Development of the decay front of a two-dimensional NHIM in a delta-kicked system

Gábor Drótos and Christof Jung

Chaotic-Net: A new perspective on predicting multidimensional chaotic time series

Chunquan Pan, Liyun Su, XuanYu Peng and YiCheng Zhu

A hybrid forecasting model for chaotic wind power time series based on dual decomposition and dynamic weighting

Chunyu Ai, Gaofei Wang, Yingchao Dong, Jidong Du and Shan He

Intermittency of fractional optical turbulence

Saad Alhadlaq and Sergey A. Ponomarenko

Generalized quartic Kerr soliton complexes in an ultrafast fiber laser

Yanxin Liu, Zhenhong Wang, Quanlan Xiao, Jun Liu, Chunxiang Zhang, Huabao Cao, Zhijia Hu and George Y. Chen

Data aggregation induces ordinal-state-space degeneracy in epidemiological dynamics: The case of North Kivu Ebola outbreak

Leonardo H.S. Fernandes

Network exploration by random walks: A large deviation perspective

Sarvesh K. Upadhyay, Trifce Sandev, Sanjay Kumar and R.K. Singh

Nonlinear exceptional-point sensitivity and spectral-complexity signatures in non-Hermitian qutrit spin chains

Nazek Alessa and Abdel-Haleem Abdel-Aty

Multiple risk perception cooperative inhibitory epidemic on higher-order networks

Yanjuan Zhang, Nian Liu, Feng Gao, Xiaoyang Liu and Wei Wang

Crossing limit cycles, homoclinic orbits and heteroclinic orbits bifurcated from a saddle-fold singularity of planar Filippov systems

Jiafu Wang, Yilin Chen and Lihong Huang

Beyond marking networks in soccer: Coordination, similarity and entropy

Jorge Calero-Sanz, Roberto López del Campo, Ricardo Resta and Javier M. Buldú

Immune-inspired regulation of cooperation and local strategy diversity in spatial continuous public goods games

Hongwei Kang, Gensen Liu, Yong Shen, Xingping Sun, Qingyi Chen, Chenxi Luo, Hang Yu and Houlai Yan

Broadcast versus targeted reciprocity: A no-go theorem for mean-field reinforcement learning in the spatial public goods game

Dejian Jiang and Xiyue Deng

Chaotic ring-shaped soliton structures in the nonlinear refractive index associated with the Milnor polynomial in an atomic medium

Anwarud Din, Abdul Jabar, Tahir Khan, Il Hyo Jung, Einas M.A. Widaa and Ehssan Mohammed Ahmed Abdalrhim

Multi-structural attractor generation and FPGA implementation of reconfigurable memristor-based dual-pathway Hopfield neural networks

Xiangcong Wu, Suo Gao, Uğur Erkan, Abdurrahim Toktas, Herbert Ho-Ching Iu and Jun Mou

Critical transitions in Markov processes: Wasserstein response and resolvent growth

Ramen Ghosh

Static output-feedback stabilization of 2-D systems with augmented characterization

Zhihong Zhao, Liu Yang, Tong Wang, Imre J. Rudas, Jun Cheng and Michael V. Basin

Hierarchical propagation for rumor source localization in signed networks

Wei-Wei Zhu, Qiang Guo and Matjaž Perc

Response surface optimization design for chemotaxis-driven motile microorganism non-linear dynamics in squeezing channel flow

Maddina Dinesh Kumar, Gunisetty Ramasekhar, A. Divya, Nehad Ali Shah and Se-Jin Yook

Dynamic analysis of deterministic and stochastic heroin epidemic models incorporating the log-normal Ornstein–Uhlenbeck process and standard incidence

Yue Chen and Yongchang Wei

Extreme multistability and its realization in a simple 6D hyperchaotic system with only sinusoidal nonlinearity

Jingyu Ma, Guodong Li and Rui Guo

Secure sampled-data-based estimation for delayed chaotic neural networks with deception attacks and packet dropouts

Suvetha Ravishankar, Soundararajan Ganesan, Yong-Ki Ma and Sakthivel Rathinasamy

Three-dimensional vortex structures in nonlinear media with transversely modulated potential wells and spatially inhomogeneous nonlinearities

Zhenglong Hu, Quankun Zhang, Li Xue and Jun-Rong He

Exceptional points in a resistive wiremesh groove: Mode coalescence and Jordan-chain augmented mode matching

Aqsa Yaseen and Mohammed Alkinidri

Fixed/preassigned-time secure synchronization of quaternion-valued IT2 T–S fuzzy neural networks subjected to hybrid random cyber attacks via event-triggered impulsive control

Yifeng Chen, Zhichun Yang, Yanchao Shi and Tingwen Huang

An audio encryption method driven by a three-dimensional sinusoidal cyclically coupled chaotic map

Zebin Song, Qing Ye, Zhimin Yuan, Xiaobing Liu and Feng Zhou

A dynamic model of Ebola virus disease: Stability analysis and data fitting

Weijing Zhang and Rui Xu

Topological measures in weighted hypergraphs

Ekaterina Vasilyeva, Liubov Tupikina, Daniil Musatov, Andrei M. Raigorodskii, Charo. I. del Genio and Stefano Boccaletti

When deep learning meets complex network robustness assessment

Weiwei Zhou and Qin Zhang

A conservative master-equation framework on graphs for fluid dynamics: reduction to the compressible navier–stokes equations under the second law

Shin-ichi Inage

An effective scaling framework for non-adiabatic mode dynamics

A.M. Tishin

A new fractal dimension for discrete structures: Frostman meets Moran

Jingjing Chen and Lifeng Xi

Reservoir observer with extended input space

Yichen Liu and Tianguang Chu

Nonuniform Lyapunov criteria and hypercyclicity in Lasota-type transport–reaction systems with degenerate boundary

El-mahdi Nafia, Abdelmjid Benmerrous and Omari, M’hamed El

Beyond cooperation and cost: Welfare-optimal incentives in structured populations

Ho Nam Duong, Le Quoc Dung Ngo, Tan Dat Nguyen, Hoai Thuong Nguyen, Zhao Song, Manh Hong Duong, Le Hong Trang and The Anh Han

Multifractal analysis of curvature-based geometric measure for complex networks

Jian-Hui Li, Chu-Han Luo, Yong Lin and Zu-Guo Yu

A model of random walks on complex networks for earthquakes and aftershocks

Sarvesh K. Upadhyay, Vimal Kishore and R.E. Amritkar

Soliton breathing and magnon dynamics in a ferromagnetic nanowire under time-modulated anisotropy

H.W.A. Riaz, Altaf Alshuhail and Yakup Yildirim

General fractional calculus approach to a three-dimensional nonlinear reaction–diffusion system for atherosclerosis: LDL, Lipoprotein(a) and CRP dynamics with Sonine kernels

Aytekin Enver, Ali M.O.A. Anwer, Mehmet Yavuz and Fatma Ayaz

Group choice with risky and safe behaviors in higher-order games

Chongkai Wang, Yixin Zuo, Xiao-Pu Han and Fanyuan Meng

The tragedy of assimilated defection: Asymmetric evolutionary dynamics and external hijacks in common-pool resources

Tianyu Shi, Junhao Lu, Hanqing Qian and Chengyi Tu

M2PPO-DBP: Local Mean-Field Multi-Agent Proximal Policy Optimization with density-based punishment for spatial public goods games

Jinshuo Yang, Zhaoqilin Yang, Wenjie Zhou, Xin Wang and Youliang Tian

Modeling the synergistic relation between social learning and sustainable behaviors in the Italian city of Siena

Vittoria Socci and Chiara Mocenni

Nonisentropic Euler equations with general pressure: Riemann problem and vanishing pressure limit

Jinhuan Wang, Yongsheng Nie and Shiping Zhong

Asymptotic limits for the inhomogeneous mixed Aw-Rascle model with the power-like hesitation function

Meina Sun

Symmetry-mediated flipping dynamics and self-focusing evolution of Pearcey-prime Gaussian beams

Chenchen Li, Haojie Li, Xiaolu Ge, Chidao Chen, Wenfei Zhang, Shangling He, Zhongsheng Man, Benyi Wang and Liping Zhang

A tensor spectral method for finding key cycles in complex networks

Qing Xu, Chunmeng Liu, Lizhu Sun and Changjiang Bu

Chimera states in random complex networks of cubic-quintic Duffing oscillators

Daniel Toro-Cabrera and Rafael Riveros-Ávila

Cascading failures in physical systems inspired by interdependent networks yield abrupt transitions

Bnaya Gross and Shlomo Havlin

Second-order Kuramoto model with feedback modulated simplicial interactions

Priyanka Rajwani and Sarika Jalan

Bursting and spiking behaviors in a memristor-capacitor bionic circuit

Quan Xu, Chenyu Liu, Xiaoyue Li, Ning Wang, Mo Chen and Huagan Wu

Stability and heteroclinic bifurcation in a strategy-environment feedback model bridging individual-optimal and collective-optimal games

Chang Sun and Gang Zhang

Exploring the complex and nonlinear dynamics in discrete ecological systems: A machine learning approach

Atish Kumar Sethy, Jyotiska Datta and Ranjit Kumar Upadhyay

Evidential reconstruction of network from time series

Yishu Xian, Zhaobo Zhang, Cai Zhang, Meizhu Li and Qi Zhang

Complexity-state characterization of nonlinear underwater acoustic dynamics via Adaptive Lempel–Ziv Networks

Bo Geng, Haiyan Wang, Xiaohong Shen and Haitao Dong

Unveiling the mode-resolved buildup dynamics of 3D solitons in a spatiotemporal mode-locked fiber laser

Jia-Wen Wu, Wei Lin, Xiao-Sheng Xiao, Jia-Hao Chen, Wei Li, Hu Cui, Zhi-Chao Luo and Ai-Ping Luo

Modeling pedestrian merging behavior at stair landings considering high school students' characteristics

Chuan-Yao Li, Ai-Yuan Zhu and Liang Chen

An introduction to the theory of fractal warped product space

Anisha Saha, Buddhadev Pal and Arindam Bhattacharyya

Reservoir computing with complex Ginzburg–Landau lattice dynamics for chaotic time-series prediction

Yong-Jia Chong, Zhi-Hao Sun and Xingran Xu

Dynamics of Boltzmannian temporal difference reinforcement learning in social dilemmas

Andrey Leonidov, Alexey Titov and Ekaterina Vasilyeva

Adaptive spectral learning for nonlinear variable-order fractional reaction–advection–diffusion equations

Hayman Thabet

Assist-network entropy and directional flow as predictors of team performance in Spain’s ACB league (2019–2025)

José Miguel Contreras García, Javier Courel-Ibáñez, Elena Molina Portillo and Juan Manuel Fernández Luna

Complex dynamics of a human-resource model with accessibility and environmental loss

Moataz Alosaimi, Rizwan Ahmed and Asifa Tassaddiq

Bifurcation of limit cycles in the coupling of two van der Pol type oscillators

Luiz Fernando Gonçalves and Ronaldo Alves Garcia

Dual virtual spring-based cooperative control of connected and automated vehicle platoons at unsignalized intersections

Zhiqin Liang, Dan Zhou, Yongxin Wei, Mingru Lu, Guoshun Cui, Yunwei Long, Xinying Zhang and Tao Wang

Function spaces, comparison principle and solutions of variable-order fractional linear systems

Ke-Li Chen and Guo-Cheng Wu

Performance appraisal promotes cooperation in spatial public goods games

Tianjiao Li, Qin Li, Kangxi Zhu, Minyu Feng and Manuel Chica

Effect of stochastic nonlinear punishment in public goods game

Shaojie Lv, Jiaying Li and Jie Mi

Durrmeyer deep fractional graph networks: A variable-order fractional framework for adaptive memory depth in spatiotemporal brain dynamics

Ugur Kadak

Integrable discretizations of the Kuralay-II equation: Novel soliton and breather dynamics

Zil-E-Huma,, Zeeshan Amjad, Asma Rashid Butt and Kashif Ammar Yasir

Chaos game and an ergodic theorem for φ-max-IFS

Italo Dowell Lira Melo and Livio Leandro Avelino de Oliveira

Simulation study of vehicle lane changing under mixed traffic flow of HV and CAV

C. Zhu, J. Lu, S. Zheng, J. Wang and Z. Tong

A correction note to a part of a proof in: CIR bridge for modeling of fish migration on sub-hourly scale (Chaos Soliton Fract. 199 (2025) 116874)

Hidekazu Yoshioka

2026, volume 211, articles P1

Prescribed-time synchronization of T–S fuzzy coupled memristive neural networks with actuator nonlinearities

Fei Tan and Jinhui Liang

A hybrid SSA and PS-optimized fuzzy TI plus D controller for frequency regulation in nonlinear microgrid using V2G strategy

Sonalika Mishra, Preeti Ranjan Sahu, Ramesh Chandra Prusty, Yogendra Arya and Sidhartha Panda

CSORMN: Cosine Similarity Order Recurrence Motif Networks for myocardial infarction detection and localization using 12-lead ECGs

Xiaodong Yang, Huanping Lin, Ziqing Zhou, Aijun He and Jun Wang

Coevolution of epidemic spreading with actions and opinions in multilayer networks

Dong Xue, Xinyi Chen, Zhaoyang Duan, Fangzhou Liu and Yang Tang

Positive–negative degree correlation suppresses global cascades in signed networks

Xiaokang Zhang, Qizi Huangpeng, Yuan Liang, Peng Chen, Xiaojun Duan and Mingze Qi

Mean-field interaction effects on dynamical localization of cold atoms in a modulated gravitational cavity

Muhammad Naeem, Amjad Sohail, Suleman Mumtaz, Muhammad Ayub, Syed Aboubakar Hassan and Khalid Naseer

Planar dynamical system method and Separatrix geometry for a generalized Davey–Stewartson system

Hajar F. Ismael

Unveiling and extending the intrinsic delayed nature of the Lorenz System: A continuum of memory-driven chaotic systems

d’Onofrio, Alberto, Jorge Duarte, Cristina Januário and Nuno Martins

Nonlinear dynamic analysis of nonlinear energy sink with multistable hysteretic characteristics

Hongxiang Hu, Ruining Huang, Haoran Qin, Zhongwen Zhang and ZhaoDong Xu

Dynamical characteristics of chattering and grazing bifurcation in a fractional-order coupled impact system

Jiaquan Xie, Liyuan Shi, Jiale Zhang, Zeju Zhang, Wei Shi and Xuan Luo

Addressing class imbalance in federated learning: A perspective of catastrophic forgetting

Xiaohan Yuan, Yaheng Wang, Jinlu Xiong, Chuan Sun and Shuyu Chen

Fast–slow oscillation mechanism of a harmonic gear reducer system induced by the combined effects of non-smooth backlash and nonlinear torsional stiffness

Zhichao Peng, Xiujing Han and Qinsheng Bi

Effect of mutations on strategy frequency in endowment-free step-level cooperation games: Heterogeneous reference payoffs and wealth reallocation

Ke Xia

CLEAR-X: Contrastive learning with explainable re-ranking for academic reviewer recommendation

Yijun Ran, Xiaopeng Li, Junjie Huang, Mingshu Ai, Fei Sun, Bojan Krebs and Tao Jia

Interacting multipathogen dynamics in networked systems

Yihan Gao, Xuan Zuo, Xiaoyang Liu and Wei Wang

Chaotic dynamics induced by charge separation in nonlinear magnetosonic structures

Wei-Ping Zhang, Cun-Jie Duan, Heng Zhang, Fang-Ping Wang and Wen-Shan Duan

Bifurcation analysis, modulational instability, and soliton solutions for coupled nonlinear Schrödinger-type equations with variable coefficients

José M. Escorcia

Floquet-engineered selective sideband control in driven two-qubit systems

M.Y. Abd-Rabbou, Reem Altuijri, R.T. Matoog and Abdel-Haleem Abdel-Aty

Initials-induced conservative motions in a Josephson junction circuit

Bocheng Bao, Qingwen Han, Jun Ma, Mo Chen and Han Bao

Topology-enhanced signal detection in large-scale brain networks

Siyu Huo, Aihua Chen, Yong Zou, Gang Hu, Stefano Boccaletti and Zonghua Liu

Phase-locked solutions for coupled oscillator systems with higher-order interactions

Jeff Moehlis

Evolutionary games on directed and higher-order interaction networks: Simulation and application in scholarly citation relationships

Yanqiao Liu, Wangyong Lv, Qiqi Guo and Chaozheng Zhang

Identifying heteroclinical repellers of one-dimensional maps: A symbolic computation method

Xiaoliang Li

Delay-dependent impulsive stabilization of nonlinear systems: Analysis and applications

Lingzhong Zhang, Huihui Zhang, Jianquan Lu, Yuhang Pan and Jungang Lou

Almost sure stabilization of linear time-varying systems by Lévy noise

Shuoran Wang, Boyuan Yang and Shang Gao

Kaniadakis inaccuracy measures based on copula and survival copula functions

Răzvan-Cornel Sfetcu and Vasile Preda

Parameter identification of α-stable Lévy driven chaotic systems via a hybrid ESN-BiLSTM deep learning framework

Xiaona Wu, Shaojuan Ma, Peiju Chang and Wentao Hou

Inverse problems for recovering the right-hand side of a pseudoparabolic equation

Serik Aitzhanov, Dossan Baigereyev and Korkem Zhalgassova

Complex interlinking structures between attracting tori and repelling horseshoes in a modified generalized Nosé–Hoover oscillator

Zifan Zhang and Lei Wang

Corridor connectivity and cross-diffusion-induced spatiotemporal dynamics in a Leslie–Gower model with Allee effect

Rajib Das, Tapan Saha, Syed Abbas and Pallav Jyoti Pal

Non-monotonic effects of interlayer coupling on cooperation dynamics in higher-order networks

Rongrong Lin, Sihang Li, Haojie Xu, Matjaž Perc, Luoluo Jiang and Changwei Huang

Vegetation pattern dynamics with soil–water diffusion feedback and strong kernel nonlocal delay

Xiaoxue Mao, Yunxian Dai and Zhaoying Yang

Feedback-induced chameleon dynamics and megastability in an autonomous oscillator derived from a simple harmonic system

Cuicui Wang, Bo Sang, Yan Liu, Timur Karimov, Vyacheslav Rybin, Denis Butusov and Ning Wang

A dual-threshold cascading failure model in higher-order networks

Yiqi Zhang, Jianlin Zhang, Yanni Liu, Longqing Cui, Ruirui Wu, Pingle Yang and Fanyuan Meng

Non-stationary signal decomposition and wavelet coherence analysis for characterizing long-term coal and gas outburst dynamics

Binglong Liu, Zhonghui Li, Chaolin Zhang, Shan Yin, Yuanming Hu and Chong Li

Ghost imaging-based lightweight encryption scheme with auxiliary probe verification for industrial inspection robots

Junxin Liu, Qiang Lai and Chunling Luo

Soil moisture dynamics in global land areas: Insights from recurrence structures

Anagha Prabhakar and Bellie Sivakumar

A discrete-time memristive-feedback hyperchaotic expanding map with global folding and its application in attack-resistant image encryption

Zihao Zhou, Kaibin Wei, Lingjie Yuan, Xiannian Xie, Haiyun Li and Yunfang Liu

Resonant codimension-two bifurcations and basin geometry in a noninvertible planar map

Karima Mokni, Mohamed Ch-Chaoui and Laura Gardini

Grünwald–Letnikov memory truncation in a fractional duffing oscillator: Coherence loss and effective delay complexity

Mattia Coccolo

Supersolid modulation and vortex nucleation in Rydberg-dressed Bose–Einstein condensates

Hao Zhu, Wen-Kai Bai, Cheng-Xi Li, Xiao-Luo Yu, Yi-Ran Shen and Wu-Ming Liu

Vector vortex chaoticons induced by interaction and nonlocal modulation in nematic liquid crystals

Hui-Cong Zhang, Xiao-Jian Yue, Zhi-Xuan Wang and Ming-Xu Yang

Adaptive heuristic optimization of an improved bidirectional A* algorithm with the TEB approach for obstacle-avoiding path planning: Application in intelligent warehouse systems

Zhe Liu, Guangdeng Zong, Haiyang Chen, Xudong Zhao and Yaohua Wu

An empirical study on the limits of black box forecasting in chaotic systems with changing parameters

Roland Bolboacă and Piroska Haller

A Fractal Belief Entropy-of-χ2-divergence with its application in time series analysis

Xiaolong Chen, Yunwei Li, Fuyuan Xiao and Zehong Cao

Informational dynamics in neuronal microtubules: Role of homodimer coupling and electric field

R. Abouem A. Ribama, R.Y. Ondoua, M. Youssoufa, Z.I. Djoufack and J.P. Nguenang

On the dynamical and statistical properties of a quartic mean-field Hamiltonian model

Matheus Rolim Sales, Edson Denis Leonel and Chris G. Antonopoulos

Tunable topological phases and magneto-optical signatures in monolayer Pt2HgSe3

Huynh V. Phuc, Nguyen N. Hieu and Chuong V. Nguyen

State-based nonlinear mapping method for constructing conservative oscillator generating cellular chaotic sea with hardware implementation

Zhiqiang Wan, Yi-Fei Pu, Yijin Liu, Qiang Lai and Ziyuan Yang

Abnormal brain mechanisms in early mild cognitive impairment using the intrinsic ignition framework

Lu Wang, Weiping Wang, Tianxi Kang, Wenxiu Zhao and Tiange Zhang

Master stability in the presence of megastability: Emergence of oscillatory synchronization patterns

Karthikeyan Rajagopal, Arezoo Firouzeh, Mahtab Mehrabbeik, Sajad Jafari and Julien Clinton Sprott

GRPO–GCC: Enhancing cooperation in spatial public goods games via group relative policy optimization with global cooperation constraint

Zhaoqilin Yang, Chanchan Li, Tianqi Liu, Xin Wang and Youliang Tian

Dynamic environmental feedback and adaptive reputation thresholds for cooperation in spatial public goods games

Lei Xu, Qing-Yi Hao, Jia-Li Qian, Chao-Yun Wu, Yan Bi, Xiang Lin and Ning Guo

Systematic solitary waves by linear limit continuation from two anisotropic traps in two-dimensional Bose–Einstein condensates

Wenlong Wang

Geometry-informed bifurcation type identification via Zernike moments

Xiaoqi Lu, Zhuozhen Xue, Jianwei Yang and Ruiqi Wang

Curvature-controlled reservoirs: Echo-state networks modulated by discrete holonomy on delay manifolds

Pradeep Singh and Balasubramanian Raman

Multi-scale critical edge identification in weighted networks via minimum spanning trees and community structure

Yan-Ran Yue, Bruno Carpentieri, Chun Wen and Zhao-Li Shen

Higher-order interactions and consensus payoff accelerate consensus formation on mixed hypergraphs

Chongrui Liu, Yikang Lu, Yunxiang Hou, Haiying Wu and Lei Shi

Exploring multidimensional control: Achieving emergent collective oscillatory states in networks of heterogeneous coupled oscillators

Libo Qi, Qiming Niu, Chenpu Li and Can Xu

Directionality-induced re-entrant diffusion-driven instabilities in directed high-order networks

Shupeng Gao, Jiawen Wang and Xiangfeng Dai

Chaos bound violation and phase structure with modified entropy in quadratic Poincaré gauge gravity

Farzan Mushtaq, Senyue Lou, Muhammad Yasir and Faisal Javed

Nonlinear dynamics and memory-induced complexity in fractional resilient queueing systems with optimal control

M. Lakshmi, E. Janani and N. Micheal Mathavavisakan

Phase transitions in a stochastic cellular automaton for cortical dynamics under anesthesia

Yordi Castellanos-Márquez and Yuriria Cortés-Poza

Heterogeneous collective criticality in cryptocurrency volatility: Scaling collapse, tail synchronization, and cascade amplification

Michael Zouari, Ilan Alon and Zeev Shtudiner

Stochastic accumulation, clearance, and first passage in repeated-exposure infection

Minhye Kim and Yongkuk Kim

Formation and splitting dynamics of noise-like pulses in fiber lasers

Zhili Sun, Yuxin Zheng, Ziwei Tian, Mengmeng Han, Xingliang Li and Shumin Zhang

Propagation and interaction properties of vortex solitons in annular Gaussian potential

Deen Li, Quanfa Chen, Baoqing Zhang and Chaohua Tan

Initial-flux dynamics of discrete memristive hopfield neural network with recurrence quantification analysis

Yujuan Gu, Minghao Shan, Jianghan Xu and Fuhong Min

Differential symbol fractal dimension: A new nonlinear dynamics metric and its application in mechanical fault diagnosis

Yuxing Li, Jingyi Li and Qingxu Wang