Chaos Solitons & Fractals最新文献_第9页

Bright photorefractive solitons supported by simultaneous linear and quadratic electro-optic effect with both drift and diffusion charge transport 同时具有漂移和扩散电荷输运的线性和二次电光效应支持的明亮光折变孤子

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-29 DOI: 10.1016/j.chaos.2026.117940

Aavishkar Katti , Andrzej Ziółkowski

{"title":"Bright photorefractive solitons supported by simultaneous linear and quadratic electro-optic effect with both drift and diffusion charge transport","authors":"Aavishkar Katti , Andrzej Ziółkowski","doi":"10.1016/j.chaos.2026.117940","DOIUrl":"10.1016/j.chaos.2026.117940","url":null,"abstract":"<div><div>We have predicted a new and large family of optical spatial solitons in photorefractive crystals having both linear and quadratic electro-optic effects by considering for the first time an equal significance of both drift and diffusion on the charge transport. We solve the ensuing modified Nonlinear Schrödinger equation employing the paraxial approximation in conjunction with a variational solution. Consequently, we have derived the existence curve of solitons together with the evolution equations for soliton width and deflection. Bistable states have been found, revealing two threshold powers for soliton generation associated with a certain soliton width. Distinct power regimes have been identified on this basis, and the evolution of soliton breadth and self-deflection has been examined within these contexts. The external electric field affects the soliton trajectory, with self-deflection escalating as the electric field intensifies. The interaction between the linear and quadratic electro-optic effects has been examined by analyzing two scenarios: one in which the linear electro-optic effect predominates, and another in which the quadratic effect prevails. We analyze and differentiate the impact of each electro-optic effect on the existence curve of solitons and their trajectories.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 117940"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146057310","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

Limit cycles of planar discontinuous piecewise linear Hamiltonian systems in three regions of Y-type 平面间断分段线性哈密顿系统在y型三区域上的极限环

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-30 DOI: 10.1016/j.chaos.2026.117997

Jaume Llibre , Regilene Oliveira

{"title":"Limit cycles of planar discontinuous piecewise linear Hamiltonian systems in three regions of Y-type","authors":"Jaume Llibre , Regilene Oliveira","doi":"10.1016/j.chaos.2026.117997","DOIUrl":"10.1016/j.chaos.2026.117997","url":null,"abstract":"<div><div>In recent years there has been a significant interest in studying discontinuous piecewise differential systems, mainly due to the wide range of applications in modeling natural phenomena. To understand the dynamics of these systems in the plane one challenge is to control their number of limit cycles. In this paper we study the existence of limit cycles in planar discontinuous piecewise linear Hamiltonian systems with three zones separated by the line <span><math><mrow><mi>Y</mi><mo>=</mo><mrow><mo>{</mo><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow><mo>:</mo><mi>x</mi><mo>≥</mo><mn>0</mn><mtext>and</mtext><mi>y</mi><mo>=</mo><mn>0</mn><mo>}</mo></mrow><mo>∪</mo><mrow><mo>{</mo><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow><mo>:</mo><mi>x</mi><mo>=</mo><mn>0</mn><mtext>and</mtext><mi>y</mi><mo>≥</mo><mn>0</mn><mo>}</mo></mrow><mo>∪</mo><mrow><mo>{</mo><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow><mo>:</mo><mi>x</mi><mo>≤</mo><mn>0</mn><mtext>and</mtext><mi>y</mi><mo>=</mo><mn>0</mn><mo>}</mo></mrow><mo>.</mo></mrow></math></span> We provide the maximum number of crossing limit cycles intersecting each branch of <span><math><mi>Y</mi></math></span> in one point, and intersecting two branches of the <span><math><mi>Y</mi></math></span> each one in two points. So we have solved the extension of the 16th Hilbert problem to this class of differential systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 117997"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077039","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

Modeling cross-modal interactions via a nonlinear information-density-aware network for MAFLD risk assessment 基于非线性信息密度感知网络的MAFLD风险评估跨模态相互作用建模

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-31 DOI: 10.1016/j.chaos.2026.117978

Xiaohua Hu , Xiang Zhu , Jia Shi , Zhaoxian Yan , Shuangshuang Qian , Hanlin Qi , Juan Du , He Yan , Changquan Ling

{"title":"Modeling cross-modal interactions via a nonlinear information-density-aware network for MAFLD risk assessment","authors":"Xiaohua Hu , Xiang Zhu , Jia Shi , Zhaoxian Yan , Shuangshuang Qian , Hanlin Qi , Juan Du , He Yan , Changquan Ling","doi":"10.1016/j.chaos.2026.117978","DOIUrl":"10.1016/j.chaos.2026.117978","url":null,"abstract":"<div><div>Modern multimodal learning often requires handling heterogeneous data types whose structures and information densities differ substantially. To address this challenge in the context of metabolic dysfunction-associated fatty liver disease (MAFLD) prediction, we propose an information-density-aware multimodal framework (NID-Net). Instead of relying on simple concatenation or shallow fusion, the model processes each modality using methods that align with its structural characteristics. Structured indicators with high information density are first processed by an XGBoost module optimized via Lagrange remainder correction, which enhances the nonlinearity of the loss landscape and improves robustness to data sparsity and imbalance. Meanwhile, tongue images with relatively low information density are encoded using a region-enhanced Swin Transformer, where adaptive regional biases guide the model toward informative local representations. The resulting modality-specific embeddings are fused within a Mixture-of-Experts (MoE) architecture, enabling selective specialization and nonlinear decision boundaries across modalities. Extensive experiments on real-world medical datasets demonstrate that NID-Net not only surpasses existing multimodal fusion approaches in predictive performance but also provides interpretable insights into cross-modal feature interactions. This work highlights the fundamental role of nonlinear design in achieving efficient, balanced, and explainable multimodal prediction systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 117978"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077045","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

Observation of partial replica symmetry breaking in polarization space for modulation instability competed by self-phase modulation 偏振空间中自相位调制不稳定性的部分复制对称性破缺观察

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-31 DOI: 10.1016/j.chaos.2026.118005

Yu Long, Lei Gao, Ai Liu, Shiyun Dai, Yujia Li, Ligang Huang, Tao Zhu

{"title":"Observation of partial replica symmetry breaking in polarization space for modulation instability competed by self-phase modulation","authors":"Yu Long, Lei Gao, Ai Liu, Shiyun Dai, Yujia Li, Ligang Huang, Tao Zhu","doi":"10.1016/j.chaos.2026.118005","DOIUrl":"10.1016/j.chaos.2026.118005","url":null,"abstract":"<div><div>Replica symmetry breaking provides a profound framework for understanding complex systems. However, a direct experimental confirmation of such complex statistical behavior within the polarization space of a fundamental nonlinear process like modulation instability has remained elusive. Here, exploiting advances in ultrafast optical polarization measurement, we report the first experimental observation of partial replica symmetry breaking in the polarization space, where polarization serves as a direct analogue of spin. By performing wavelength-resolved polarization measurements of modulation instability sidebands, we identify the replica symmetry breaking for specific wavelengths by calculating the overlapping parameter of fluctuations between any two arbitrary points in polarization space, while other wavelengths maintain replica symmetric behavior. The partial replica symmetry breaking in polarization space is attributed to the competition of modulation instability and self-phase modulation. Our results establish polarization as a natural platform for probing complex energy landscapes in disordered photonic systems.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 118005"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077048","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 evolution of zero-determinant strategies in public goods game 公共产品博弈中零决定策略的演化

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-29 DOI: 10.1016/j.chaos.2026.117991

Desheng Lin , Panfei Sun

{"title":"The evolution of zero-determinant strategies in public goods game","authors":"Desheng Lin , Panfei Sun","doi":"10.1016/j.chaos.2026.117991","DOIUrl":"10.1016/j.chaos.2026.117991","url":null,"abstract":"<div><div>How self-interested individuals spontaneously evolve cooperative behavior remains a central question across sociology, economics, and evolutionary biology. Since the discovery of zero-determinant (ZD) strategies, there has been growing interest in understanding how these strategies promote cooperation and their evolutionary characteristics. However, the evolutionary dynamics of ZD strategies in public goods games remain largely unexplored. In this study, we investigate the performance of ZD strategies when interacting with unconditional cooperators, focusing on both the early-stage payoff advantage and the time required to reach evolutionary steady states, as influenced by the extortion factor. Our results reveal that higher extortion factors can significantly promote cooperative behavior. Furthermore, in the context of multi-player, multi-strategy interactions, we find that while extortionate strategies can facilitate cooperation in small populations, they are highly vulnerable to invasion in large populations. Evolutionary dynamics in such settings overwhelmingly favor strategies that promote mutual cooperation rather than exploitation. These findings offer new insights into the limitations and potential of ZD strategies in more complex social dilemmas and highlight the critical role of population structure and strategic diversity in the emergence of cooperation.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 117991"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072638","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

Modeling, complexity and finite-time modified adaptive control of a novel electromagnetic energy harvester 一种新型电磁能量采集器的建模、复杂性及有限时间修正自适应控制

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-29 DOI: 10.1016/j.chaos.2026.117976

Jiale Han , Jimin Ye , Dongmei Huang , Wei Li

{"title":"Modeling, complexity and finite-time modified adaptive control of a novel electromagnetic energy harvester","authors":"Jiale Han , Jimin Ye , Dongmei Huang , Wei Li","doi":"10.1016/j.chaos.2026.117976","DOIUrl":"10.1016/j.chaos.2026.117976","url":null,"abstract":"<div><div>This paper details the modeling, complexity analysis and finite-time modified adaptive control (FTA-ISMC) of a novel stacked electromagnetic energy harvester that exhibits a negative stiffness characteristic. A cubic nonlinear dynamic model is first established based on precise magnetic field modeling and equivalent stiffness analysis. Bifurcation and complexity analyses reveal dynamic behaviors, including the coexistence of low-energy, high-energy periodic orbits, multiple periods and chaotic states. Then, an FTA-ISMC strategy is designed to drive the harvester to a high energy state, proving its strong robustness and effectiveness in chattering suppression. Comparative simulations demonstrate that the proposed strategy outperforms standard sliding mode and PID controllers by minimizing control effort and eliminating both chattering and overshoot. It precisely drives the harvester to a high energy orbit within just one second. Critically, the FTA-ISMC strategy demonstrated that a brief 1 s control pulse, requiring a mere 0.14 J of energy, is sufficient to permanently unlock a high-energy orbit. This initial energy cost is fully recovered within just 57.6 s of operation, after which the system yields a net energy gain. This work provides an integrated design and control framework, facilitating the practical use of high-performance energy harvesters.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 117976"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072011","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

Propagation dynamics and focusing characteristics of circular Airy Laguerre-Gaussian beams 圆形Airy拉盖尔-高斯光束的传输动力学和聚焦特性

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-30 DOI: 10.1016/j.chaos.2026.118004

Jing Hu , Lihe Yan , Jinhai Si , Xun Hou

{"title":"Propagation dynamics and focusing characteristics of circular Airy Laguerre-Gaussian beams","authors":"Jing Hu , Lihe Yan , Jinhai Si , Xun Hou","doi":"10.1016/j.chaos.2026.118004","DOIUrl":"10.1016/j.chaos.2026.118004","url":null,"abstract":"<div><div>In this work, a universal circular-Airy-based vortex beam model, termed the circular Airy Laguerre-Gaussian (CALG) beam, is proposed. Its generation mechanism, propagation dynamics, and focusing characteristics are systematically investigated through a combination of experimental measurements and numerical simulations. The beam evolution can be flexibly tuned by both the angular index <em>l</em> and the radial index <em>p</em>. Under identical initial peak intensity, both theoretical and experimental results indicate that CALG beam with larger <em>l</em> simultaneously achieve larger spot sizes and higher peak intensities, revealing an unconventional intensity-size scaling behavior. Moreover, by focusing CALG beams with a lens, controllable optical bottles are generated. Their intensity and shape are jointly governed by parameters <em>l</em>, <em>p</em>, and focal length of the lens, in particular, a non-diffraction optical bottle characterized by a slowly varying intensity plateau and stable beam width is realized. This work expands the toolkit for structuring controllable complex optical fields, and the findings have potential applications in optical potential well and optical trapping.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 118004"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077044","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

Comparative dynamics and normal form of nonlocal chemotaxis models with spatial average and top-hat kernels 具有空间平均核和顶帽核的非局部趋化模型的比较动力学和范式

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-31 DOI: 10.1016/j.chaos.2026.118011

Yehu Lv

{"title":"Comparative dynamics and normal form of nonlocal chemotaxis models with spatial average and top-hat kernels","authors":"Yehu Lv","doi":"10.1016/j.chaos.2026.118011","DOIUrl":"10.1016/j.chaos.2026.118011","url":null,"abstract":"<div><div>This study conducts a comparative analysis of two nonlocal chemotaxis models: one incorporating a spatial average kernel and the other a top-hat kernel with a perception radius <span><math><mi>M</mi></math></span>. We investigate how taxis and kernel selection impact model dynamics, employing linear stability and bifurcation theory to characterize the conditions for pattern formation. Through numerical simulations, we illustrate how the chemotactic coefficient <span><math><mi>χ</mi></math></span> modulates the critical perception radius <span><math><msub><mrow><mi>M</mi></mrow><mrow><mi>T</mi></mrow></msub></math></span> and the spatial wave number. The key contributions of this work are the proof of local existence and uniqueness for a classical solution to model (1.1), as well as the systematic derivation of an explicit normal form for the Turing bifurcation under periodic boundary conditions with a spatial average kernel. This normal form provides analytical insight into the stability and direction of the resulting inhomogeneous patterns. Our results demonstrate that the top-hat kernel supports richer spatiotemporal dynamics than the spatially averaged kernel, and that stronger chemotaxis tends to suppress pattern formation unless compensated by a larger sensing range.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 118011"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077047","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

Head-on nonlinear excitation of tilted linear modes in photorefractive medium 光折变介质中倾斜线性模式的正面非线性激发

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-30 DOI: 10.1016/j.chaos.2026.117942

Dejan V. Timotijević , Aleksandra Ž. Piper , Jadranka M. Vasiljević , Damir V. Mitić , Dragana M. Jović Savić

引用次数: 0

Excitation and propagation of the high-order self-similar rogue waves in aircraft wing plates with nonlinear aeroelastic restraints 非线性气动弹性约束下飞机翼板高阶自相似异常波的激发与传播

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2026-06-01 Epub Date: 2026-01-31 DOI: 10.1016/j.chaos.2026.117985

Yi Fei Zhang , Wei Zhang , Yu Fei Zhang

{"title":"Excitation and propagation of the high-order self-similar rogue waves in aircraft wing plates with nonlinear aeroelastic restraints","authors":"Yi Fei Zhang , Wei Zhang , Yu Fei Zhang","doi":"10.1016/j.chaos.2026.117985","DOIUrl":"10.1016/j.chaos.2026.117985","url":null,"abstract":"<div><div>This paper investigates the propagation mechanisms of the higher-order self-similar two-dimensional rogue waves in the aircraft wings modeled as the thin plates resting on the nonlinear elastic foundations. The nonlinear governing dynamic equation of motion is reduced to a (2 + 1)-dimensional nonlinear Schrödinger (NLS) equation by the reductive perturbation. The analysis of the dispersion relation indicates that the presence of the initial pre-stress fundamentally alters the dispersion characteristics of the system, providing the conditions for wave localization. The expressions of the analytical solutions for the higher-order rogue waves are constructed based on a self-similar transformation. Furthermore, the nonlinear evolution characteristics of the rogue waves are revealed through numerical simulations, while the parameter analysis further demonstrates that the wave amplitude is sensitive to variations in the initial compressive stress, foundation nonlinear coefficient, and plate thickness. The results provide the theoretical support for the damage prevention and wave control in the aircraft wings under the extreme wave loads.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"207 ","pages":"Article 117985"},"PeriodicalIF":5.6,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077041","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