Chaos Solitons & Fractals最新文献_第6页

The influence of delay time on the generation of chaotic oscillations in a two-dimensional resonant system 二维谐振系统中延迟时间对混沌振荡产生的影响

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-28 DOI: 10.1016/j.chaos.2026.118158

Marek Berezowski

引用次数: 0

Self-sustaining chaotic characteristics of double pendulum based on self-shading effect 基于自遮蔽效应的双摆自维持混沌特性

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-18 DOI: 10.1016/j.chaos.2026.118031

Lei Chen , Yunjun Xia , Zhongyi Tang , Jinlong Zhao , Kuan Zhou

{"title":"Self-sustaining chaotic characteristics of double pendulum based on self-shading effect","authors":"Lei Chen , Yunjun Xia , Zhongyi Tang , Jinlong Zhao , Kuan Zhou","doi":"10.1016/j.chaos.2026.118031","DOIUrl":"10.1016/j.chaos.2026.118031","url":null,"abstract":"<div><div>The motion system based on active materials can autonomously absorb energy and achieve self-sustaining motion through the coupling effect between the internal structure and external environment. This paper presents a self-sustaining double pendulum(DP) system consisting of a liquid crystal elastic(LCE) fiber, a rigid fiber and two mass balls. The DP system achieves self-sustaining chaotic swing under stable illumination through self-shading effect, overcoming the limitation of traditional chaotic pendulums that rely on external periodic stimulation. By establishing nonlinear dynamic model and conducting numerical calculation, three motion modes of DP system are revealed, namely self-sustaining periodic vibration, self-sustaining periodic swing and self-sustaining chaotic swing. This system utilizes the property of liquid crystal elastic fiber that it contracts and do work in illumination environment to balance the energy loss caused by damping, thereby achieving self-sustaining motion. In addition, the influence of changes in key parameters of the system on the motion patterns are studied, and the three-dimensional(3-D) bifurcation diagrams of the LCE fiber and rigid fiber pendulums are respectively depicted, clearly showing the transformation rules of motion modes under different parameters. Unlike traditional chaotic double pendulum, this paper constructs soft-hard intelligent coupling model and triggers self-sustaining chaotic swing motion through self-shading effect. This research not only deepens understanding of self-sustaining motion, but also provides theoretical basis for innovative applications in fields such as intelligent actuators and soft robots.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118031"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146778119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Anderson localization of quantum droplets in disordered potentials 无序势中量子液滴的安德森局域化

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-24 DOI: 10.1016/j.chaos.2026.118138

Zohra Mehri , Abdelâali Boudjemâa

引用次数: 0

Cyclic periodic synchronization in networks of piecewise nonlinear discontinuous maps 分段非线性不连续映射网络中的循环周期同步

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-27 DOI: 10.1016/j.chaos.2026.118122

Vismaya V S, Sishu Shankar Muni

{"title":"Cyclic periodic synchronization in networks of piecewise nonlinear discontinuous maps","authors":"Vismaya V S, Sishu Shankar Muni","doi":"10.1016/j.chaos.2026.118122","DOIUrl":"10.1016/j.chaos.2026.118122","url":null,"abstract":"<div><div>We investigate cyclic periodic synchronization (CPS) in a ring–star network of piecewise nonlinear discontinuous (PND) maps. While CPS has previously been reported in piecewise linear discontinuous (PLD) systems, the linear structure of such maps restricts the diversity of emergent spatiotemporal behaviours. In this work, we extend the PLD framework by introducing quadratic nonlinearities on either side of the switching manifold. Analytical expressions for border–collision bifurcation curves associated with fixed points, period–2, and higher–order periodic orbits are derived and validated through two–parameter period diagrams. When coupled in a ring–star network, the PND maps exhibit a wide spectrum of spatiotemporal patterns, including CPS, traveling waves, unsynchronized states, clustered states, and two novel collective behaviours: cluster period–2 states and cyclic periodic cluster patterns. The mechanism for CPS patterns arises from the competition and collision of synchronized clusters, which reorganize periodically to produce robust cyclic patterns. We further examine nonlocally coupled ring–star networks, demonstrating that cyclic periodic synchronization persists even under nonlocal interactions. Two-parameter regime maps in the coupling strength plane reveal how local ring coupling, global hub coupling, and coupling range collectively govern transitions among synchronized, clustered, traveling-wave, and CPS patterns. Apart from the quadratic PND map, the framework is generalized to five additional nonlinear discontinuous maps: sinusoidal, tangential, hyperbolic tangent, rational, and exponential, confirming the robustness and persistence of cyclic period-3 synchronization across diverse nonlinear formulations.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118122"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147329813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The devil's staircase and its intracavity pulse dynamics in an inverse-configuration dispersion-managed soliton laser 逆配置色散管理孤子激光器中的魔鬼阶梯及其腔内脉冲动力学

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-03-03 DOI: 10.1016/j.chaos.2026.118075

Yuxuan Ren , Junsong Peng , Heping Zeng

{"title":"The devil's staircase and its intracavity pulse dynamics in an inverse-configuration dispersion-managed soliton laser","authors":"Yuxuan Ren , Junsong Peng , Heping Zeng","doi":"10.1016/j.chaos.2026.118075","DOIUrl":"10.1016/j.chaos.2026.118075","url":null,"abstract":"<div><div>The devil's staircase is a ubiquitous fractal phenomenon in nonlinear systems, and was recently extensively studied in dispersion-managed mode-locked fiber lasers with near-zero dispersion. Generally, dispersion management is realized by employing a piece of normal-dispersion gain fiber and a segment of anomalous-dispersion single-mode fiber. Thus, an amplifier similariton shaping mechanism naturally presents in the gain fiber, suggesting it is correlated to the generation of the devil's staircase. It is natural to ask whether the devil's staircase persist when the amplifier similariton shaping is absent. We address this question by numerically investigating an inverse-configuration dispersion-managed soliton laser. In this case, dispersion sign of the gain fiber and the passive fiber is reversed, thus the amplifier similariton shaping no longer exists. Interestingly, the devil's staircase is still observed in the laser. Further investigation reveals that passive similariton is correlated to the fractal dynamics. This work establishes a connection between the devil's staircase and passive similariton, providing new insights into the studies of fractal soliton dynamics and potentially inspiring novel laser designs.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118075"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147360616","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A reconstruction scheme for secure self-verification of medical images incorporating spatiotemporal chaos encryption 基于时空混沌加密的医学图像安全自验证重建方案

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-17 DOI: 10.1016/j.chaos.2026.118038

Zhenlong Man , JinYu Zhou , WeiQuan Wang , TianRan Dong

{"title":"A reconstruction scheme for secure self-verification of medical images incorporating spatiotemporal chaos encryption","authors":"Zhenlong Man , JinYu Zhou , WeiQuan Wang , TianRan Dong","doi":"10.1016/j.chaos.2026.118038","DOIUrl":"10.1016/j.chaos.2026.118038","url":null,"abstract":"<div><div>Medical image transmission in telemedicine environments poses significant challenges to data integrity and confidentiality, and existing security solutions generally fail to balance high-strength encryption with high-precision self-recovery. To address this integration challenge, this paper proposes a medical image security self-verification reconstruction scheme that leverages a spatiotemporal chaotic system. This approach establishes a novel dual-layer security framework. For data integrity, it combines binary block embedding with permutation ordered binary encoding to achieve precise, pixel-level localization and self-recovery of tampering within the regions of interest (ROIs) of medical images. For data confidentiality, a novel nonlinear coupled spatiotemporal chaotic system driven by deep feature fingerprints enables authorized access control for sensitive data while generating high-entropy ciphertexts, significantly enhancing the confusion and diffusion capabilities of the encryption algorithm. Experimental simulations validate the framework’s exceptional performance: the tamper detection rate reaches 93.12%, with restored images achieving an SSIM value of 0.9908. Metrics including information entropy, pixel change rate, and uniform average change intensity all approach theoretical optimal values, fully demonstrating the algorithm’s outstanding resistance to statistical and differential attacks. This research establishes a highly secure, integrated medical image transmission solution that substantially enhances the reliability of telemedicine data.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118038"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Bifurcations and chaos in a shape memory alloy oscillator driven by parametric and external excitations 参数和外部激励下形状记忆合金振荡器的分岔和混沌

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-21 DOI: 10.1016/j.chaos.2026.118100

Fengping Zhang, Liangqiang Zhou

{"title":"Bifurcations and chaos in a shape memory alloy oscillator driven by parametric and external excitations","authors":"Fengping Zhang, Liangqiang Zhou","doi":"10.1016/j.chaos.2026.118100","DOIUrl":"10.1016/j.chaos.2026.118100","url":null,"abstract":"<div><div>This paper investigates the nonlinear dynamic behavior of shape memory alloy (SMA) oscillators subjected to combined parametric and external excitations. We employ the fast–slow decomposition method to elucidate the mechanism of relaxation oscillations, yielding an analytical expression for the quiescent interval which approximates half of the excitation period. To address global instability induced by quintic nonlinearity, we rigorously derive exact analytical expressions for homoclinic and heteroclinic orbits within a fifth-order triple-well potential and establish explicit analytical chaos thresholds using the Melnikov method. Parametric analysis indicates that increasing the damping coefficient effectively suppresses chaotic motion, whereas higher amplitudes of parametric and external excitations promote global instability. Numerical simulations corroborate the analytical predictions and further identify boundary crises as primary routes to chaos. The study reveals underlying physical mechanisms governed by the interaction between energy accumulation and rapid release. These findings provide a theoretical basis for determining stable operation boundaries and engineering design constraints for SMA smart structures.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118100"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146777177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Generic and degenerate fold-Hopf bifurcations in jerk systems: Reduction, dynamics, and applications 时滞系统中的一般与简并折叠hopf分岔：约简、动力学与应用

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-19 DOI: 10.1016/j.chaos.2026.118098

Cristian Lăzureanu , Jinyoung Cho

{"title":"Generic and degenerate fold-Hopf bifurcations in jerk systems: Reduction, dynamics, and applications","authors":"Cristian Lăzureanu , Jinyoung Cho","doi":"10.1016/j.chaos.2026.118098","DOIUrl":"10.1016/j.chaos.2026.118098","url":null,"abstract":"<div><div>In this paper we investigate the occurrence of fold-Hopf bifurcations in a two-parameter family of jerk systems. Under suitable generic assumptions, we show that the system can be transformed into generic fold-Hopf jerk forms. More precisely, we consider the case where the parameters follow a saddle–node bifurcation curve and impose conditions ensuring that a pair of complex eigenvalues becomes purely imaginary. By means of Taylor expansions and smooth invertible transformations of the variables and parameters, the system is reduced to generic fold-Hopf jerk systems. We further discuss the possible types of zero-Hopf singularities arising in this setting. Using the first-order averaging theory, we establish the existence of periodic orbits bifurcating from the zero-Hopf singularity. Next, we observe that the simplest generic systems mentioned above exhibit a degenerate fold-Hopf bifurcation, and we analyze their dynamics. Finally, to illustrate the applicability of our results, we analyze the fold-Hopf bifurcation in a variant of the Rössler system expressed in an equivalent jerk form. Furthermore, we show that introducing a control term into the jerk formulation of a given system enables the corresponding original system to undergo a fold-Hopf bifurcation. In addition, we study the occurrence of the fold-Hopf bifurcation in a three-dimensional extension of the Liénard equation and we highlight the occurrence of chaotic behavior of a particular jerk system exhibiting a degenerate fold-Hopf bifurcation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118098"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146777188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The leader–follower coherence and spectral properties of weighted recursive networks under noise disturbance 噪声干扰下加权递归网络的主从相干性和频谱特性

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-18 DOI: 10.1016/j.chaos.2026.118060

Jia-Bao Liu , Meng-Yuan Yu , Guo-Jun Cai , Jinde Cao

引用次数: 0

Nonlinear asymptotes of dual information dimension of complex networks 复杂网络对偶信息维的非线性渐近线

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-07-01 Epub Date: 2026-02-25 DOI: 10.1016/j.chaos.2026.118150

Mingli Lei , Jazmín-Susana De la Cruz-García , Juan Bory-Reyes , Aldo Ramirez-Arellano

{"title":"Nonlinear asymptotes of dual information dimension of complex networks","authors":"Mingli Lei , Jazmín-Susana De la Cruz-García , Juan Bory-Reyes , Aldo Ramirez-Arellano","doi":"10.1016/j.chaos.2026.118150","DOIUrl":"10.1016/j.chaos.2026.118150","url":null,"abstract":"<div><div>Extropy is a complementary measure to entropy, proposed as its informational dual. While entropy quantifies the uncertainty or disorder of a distribution, extropy quantifies the certainty or order of the distribution. Extropy has been used in information theory, statistical modeling, complex networks, adaptive systems, and decision-making under uncertainty. From this perspective, the dual information dimension is introduced. The dual information dimension provides an alternative way to measure certainty and network organization by exploiting extropy, offering a complementary view to entropy-based information dimensions.</div><div>In the present study, we propose a reformulation of the asymptotes for the dual information dimension, denoted by <span><math><msub><mrow><mi>D</mi></mrow><mrow><mi>i</mi><mi>d</mi></mrow></msub></math></span>, using the nonlinear Logistic4P (four-parameter logistic), Gompertz, Richards (4 and 5 parameters), and von Bertalanffy mathematical models. To validate the proposed reformulation, a representative set of 16 real-world networks, covering different areas of knowledge and practical applications, was used. The results indicate that the optimal nonlinear model depends on the dual <span><math><msub><mrow><mi>D</mi></mrow><mrow><mi>i</mi><mi>d</mi></mrow></msub></math></span> used. Indeed, Richards4 and Richards5 excel in the Shannon and Tsallis <span><math><msub><mrow><mi>D</mi></mrow><mrow><mi>i</mi><mi>d</mi></mrow></msub></math></span>, respectively, while Logistic4P and Gompertz offer better fits in the Fractional <span><math><mrow><mo>(</mo><mi>q</mi><mo>,</mo><msup><mrow><mi>q</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>)</mo></mrow></math></span> and Rényi <span><math><msub><mrow><mi>D</mi></mrow><mrow><mi>i</mi><mi>d</mi></mrow></msub></math></span>. However, no single model emerges as optimal across all cases, highlighting the need to select a model based on the specific characteristics of each network and the informational approach employed.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"208 ","pages":"Article 118150"},"PeriodicalIF":5.6,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147279121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0