Chaos Solitons & Fractals最新文献_第10页

Collective motion with the self-propelled directional reversals effect 具有自走方向逆转效应的集体运动

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-21 DOI: 10.1016/j.chaos.2024.115621

C. Wang , C.R. Li , W. Guo , L.C. Du

{"title":"Collective motion with the self-propelled directional reversals effect","authors":"C. Wang , C.R. Li , W. Guo , L.C. Du","doi":"10.1016/j.chaos.2024.115621","DOIUrl":"10.1016/j.chaos.2024.115621","url":null,"abstract":"<div><div>Some organisms in nature, including myxococcus xanthus and locusts, exhibit random reversals of direction for the purpose of obtaining more nutrients or avoiding obstacles. In this study, we have constructed a Vicsek-like model and investigated collective motion with the self-propelled directional reversals effect by adjusting the strength of noise and the average number density. Our study results show that: (1) The self-propelled directional reversals effect generally reduces the directional consistency of collective motion. (2) In the weak noise region, the self-propelled directional reversals effect enhances the global order parameter of the group with topological interaction pattern. (3) Directional reversals with different correlation time do not alter the power-law relation between the order parameter and the density, but the presence of memory effect can lead to different sign of power exponent near certain density thresholds. (4) Machine learning analysis reveals the clusters phenomenon is associated with high local and low global order parameters in system. Overall, our study provides an insight to the collective motion with the directional reversals effect.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115621"},"PeriodicalIF":5.3,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535962","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

Chaotic semigroups for a higher order partial differential equation in Herzog-type space of analytic functions 赫尔佐格型解析函数空间中高阶偏微分方程的混沌半群

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-21 DOI: 10.1016/j.chaos.2024.115657

A. Taqbibt, M. Chaib, M. Elomari, S. Melliani

引用次数: 0

Stocking of herbivorous fish to mitigate algal bloom in water bodies: A modeling approach 放养草食性鱼类以缓解水体藻华：建模方法

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-21 DOI: 10.1016/j.chaos.2024.115618

Jyoti Maurya , Santo Banerjee , A.K. Misra

{"title":"Stocking of herbivorous fish to mitigate algal bloom in water bodies: A modeling approach","authors":"Jyoti Maurya , Santo Banerjee , A.K. Misra","doi":"10.1016/j.chaos.2024.115618","DOIUrl":"10.1016/j.chaos.2024.115618","url":null,"abstract":"<div><div>Algal bloom represents a pervasive environmental issue with far-reaching consequences for aquatic ecosystems and human well-beings on a global scale. Introducing herbivorous fish into lakes presents a hopeful strategy for alleviating the impacts of algal bloom, particularly in cases, where substantial reductions in nutrient input may not be practically achievable. In this work, we explore the impact of herbivorous fish on algal dynamics in three scenarios. In the first scenario, we introduce a mathematical model for the water ecosystem, where external sources actively maintain oxygen levels. The observed saddle–node and Hopf bifurcations offer insights into critical thresholds and regime transitions within the ecosystem. Further, we expand our analysis to second mathematical model, wherein oxygen levels are not sustained externally. We further broaden our investigation to assess the impact of intensified efforts on algae mitigation and how it affects the dynamics of the ecosystem within the water body. The proposed models demonstrate significant shifts in the interplay between herbivorous fish and algal biomass under various environmental conditions. We validate our analytical findings and highlight ecosystem resilience through numerical simulations.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115618"},"PeriodicalIF":5.3,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535963","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

Strange attractors, nonlinear dynamics and abundant novel soliton solutions of the Akbota equation in Heisenberg ferromagnets 海森堡铁磁体中阿克波塔方程的奇异吸引子、非线性动力学和丰富的新型孤子解

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-21 DOI: 10.1016/j.chaos.2024.115659

Mohammad Alqudah , Maalee AlMheidat , M.M. Alqarni , Emad E. Mahmoud , Shabir Ahmad

{"title":"Strange attractors, nonlinear dynamics and abundant novel soliton solutions of the Akbota equation in Heisenberg ferromagnets","authors":"Mohammad Alqudah , Maalee AlMheidat , M.M. Alqarni , Emad E. Mahmoud , Shabir Ahmad","doi":"10.1016/j.chaos.2024.115659","DOIUrl":"10.1016/j.chaos.2024.115659","url":null,"abstract":"<div><div>The prime objective of the present investigation is to classically unveil the dynamical properties of nonlinear Akbota equation, connected with Heisenberg ferromagnets. The Akbota equation serves as a fundamental model to study the nonlinear phenomena in magnetism, optics, and more generally in the differential geometry of curves and surfaces. We accomplish this by starting with creation of dynamical system (DS) associated to the proposed model. Then, the stimuli of bifurcations in the system are investigated using the planar DS theory. Next, we systematically study that the Akbota equation exhibits chaotic phenomena by adding a perturbation term to its subsequent dynamic setting. We also verify this investigation by displaying 2D and 3D phase portraits. The Lyapunov exponents (LEs) and bifurcations maps with respect to parameters are explored. Some more novel nonlinear dynamics such as return maps, power spectrum, recurrence plot, fractal dimension, and strange novel chaotic attractors are presented. The simulation results is carried out using the RK-4 method. For several soliton solutions, the improved modified extended Tanh-function technique (IMETFT) and the method of the planar DS are applied with a detailed investigation to demonstrate a variety of solutions that the governing model can exhibit. Also, the stability analysis of solutions confirms that the solutions are stable.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115659"},"PeriodicalIF":5.3,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535218","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

Subcombination internal resonance of the additive type in the response dynamics of micromachined resonators crossing the impacting threshold 微机械谐振器跨越冲击阈值响应动力学中的叠加型次组合内部共振

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-20 DOI: 10.1016/j.chaos.2024.115615

Laura Ruzziconi , Nizar Jaber , Amal Z. Hajjaj , Mohammad I. Younis

{"title":"Subcombination internal resonance of the additive type in the response dynamics of micromachined resonators crossing the impacting threshold","authors":"Laura Ruzziconi , Nizar Jaber , Amal Z. Hajjaj , Mohammad I. Younis","doi":"10.1016/j.chaos.2024.115615","DOIUrl":"10.1016/j.chaos.2024.115615","url":null,"abstract":"<div><div>In the present paper, a microbeam-based MEMS device is experimentally driven to experience a subcombination internal resonance (IR) of the additive type, where the second mode internally resonates with both the first and the third modes inducing a range of quasi-periodic dynamics. The main features of the experimental quasi-periodicity are analyzed, which inherently depend on the ratios established by the frequencies of the involved modes. Experimental Poincaré maps are established and tracked, exhibiting a specific underlying pattern. Numerical simulations are developed and the Fast Fourier Transform frequency trend lines are examined, showing the variations of the modes frequencies values while keeping the subcombination IR relationship. We investigate the evolution of the quasi-periodic waveform as increasing the excitation frequency. Special attention is devoted to the hardening dominance of the system, which influences the modes frequencies components. The last part of the paper is focused on the impacting regime. Since the microbeam is constituted by a dielectric layer (Silicon Nitride), impacts take place as raising the oscillation amplitudes. We analyze the experimental behavior at impacts, showing the possibility of dynamics with different characteristics, including both quasi-periodic, chaotic and periodic regions, all of them holding subcombination IR signature.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115615"},"PeriodicalIF":5.3,"publicationDate":"2024-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535961","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

Parameters estimation and uncertainty assessment in the transmission dynamics of rabies in humans and dogs 狂犬病在人类和狗中传播动态的参数估计和不确定性评估

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-19 DOI: 10.1016/j.chaos.2024.115633

Mfano Charles , Sayoki G. Mfinanga , G.A. Lyakurwa , Delfim F.M. Torres , Verdiana G. Masanja

{"title":"Parameters estimation and uncertainty assessment in the transmission dynamics of rabies in humans and dogs","authors":"Mfano Charles , Sayoki G. Mfinanga , G.A. Lyakurwa , Delfim F.M. Torres , Verdiana G. Masanja","doi":"10.1016/j.chaos.2024.115633","DOIUrl":"10.1016/j.chaos.2024.115633","url":null,"abstract":"<div><div>Rabies remains a pressing global public health issue, demanding effective modeling and control strategies. This study focused on developing a mathematical model using ordinary differential equations (ODEs) to estimate parameters and assess uncertainties related to the transmission dynamics of rabies in humans and dogs. To determine model parameters and address uncertainties, next-generation matrices were utilized to calculate the basic reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>. Furthermore, the Partial Rank Correlation Coefficient was used to identify parameters that significantly influence model outputs. The analysis of equilibrium states revealed that the rabies-free equilibrium is globally asymptotically stable when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo><</mo><mn>1</mn></mrow></math></span>, whereas the endemic equilibrium is globally asymptotically stable when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>≥</mo><mn>1</mn></mrow></math></span>. To reduce the severity of rabies and align with the Global Rabies Control (GRC) initiative by 2030, the study recommends implementing control strategies targeting indoor domestic dogs.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115633"},"PeriodicalIF":5.3,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535802","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

Pseudo-phase difference guides additional connection between oscillators for synchrony 伪相位差引导振荡器之间的额外连接以实现同步

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-19 DOI: 10.1016/j.chaos.2024.115617

Daekyung Lee , Jong-Min Park , Heetae Kim

{"title":"Pseudo-phase difference guides additional connection between oscillators for synchrony","authors":"Daekyung Lee , Jong-Min Park , Heetae Kim","doi":"10.1016/j.chaos.2024.115617","DOIUrl":"10.1016/j.chaos.2024.115617","url":null,"abstract":"<div><div>In complex systems, synchronization plays a pivotal role underlying the coherent operation of various systems (networks) ranging from biology to technology. In a dynamic network, a link between nodes can be newly created implementing a new interaction in the network. Therefore, it is of great importance to understand how to enhance the synchronized state of a system especially when adding a new connection. This study investigates ways to enhance synchronization through optimal link addition, employing the Synchrony Alignment Function (SAF) and Adjusted Lyapunov Function (ALF) that assess the effects of new connections. By applying the ALF method to compare potential link additions, we identify two key factors that contribute to the effectiveness of link addition: the steady-state phase in the linearized dynamics, which we named the pseudo-steady-state phase, and the structural attributes of the network. By applying these methods across diverse network topologies, including Barabási–Albert, Erdős–Rényi, and Cayley tree models, we uncover the dominant role of the phase difference in promoting synchronization. This exploration offers new insights into the dynamics of network synchronization, highlighting the critical impact of specific factors on the efficacy of enhancing network coherence. Our findings also lay a foundation for further research into targeted strategies for network optimization.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115617"},"PeriodicalIF":5.3,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Transition and coexistence of Turing pattern, Turing-like pattern and spiral waves in a discrete-time predator–prey model 离散时间捕食者--猎物模型中图灵模式、类图灵模式和螺旋波的过渡与共存

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-19 DOI: 10.1016/j.chaos.2024.115591

Huimin Zhang , Jian Gao , Changgui Gu , Chuansheng Shen , Huijie Yang

{"title":"Transition and coexistence of Turing pattern, Turing-like pattern and spiral waves in a discrete-time predator–prey model","authors":"Huimin Zhang , Jian Gao , Changgui Gu , Chuansheng Shen , Huijie Yang","doi":"10.1016/j.chaos.2024.115591","DOIUrl":"10.1016/j.chaos.2024.115591","url":null,"abstract":"<div><div>Turing patterns and spiral waves, which are spatiotemporal ordered structures, are a common occurrence in complex systems, manifesting in a variety of forms. Investigations on these two types of patterns primarily concentrate on different systems or different parameter ranges, respectively. Turing’s theory, which postulates the presence of both a long-range inhibitor and a short-range activator, is used to explain the variety of Turing patterns in nature. Generally, Turing patterns are the result of Turing instability (including subcritical Turing instability), and research in this field is usually conducted within the parameter regions of Turing instability. Here, we observed the transition and coexistence phenomena of Turing pattern, Turing-like pattern and spiral wave, and discovered a mechanism for generating Turing-like patterns in discrete-time systems. Specifically, as the control parameter changes, the spiral wave gradually loses its dominant position and is eventually replaced by the Turing-like pattern, experiencing a state of coexistence of Turing/Turing-like pattern and spiral wave. The decrease in the move-state-effects results in the system’s incapacity to generate spiral waves, which are ultimately replaced by Turing/Turing-like patterns. Outside the parameter intervals of Turing instability, we obtained a type of Turing-like patterns in a discrete-time model. The patterns can be excited through the application of a strong impulse noise (exceeding a threshold) to a homogeneous stable state. Analysis reveals that the Turing-like patterns are the consequence of the competition between two stable states, and the excitation threshold is determined by the relative position of the states. Our findings shed light on the pattern formation for Turing/Turing-like patterns and spiral waves in discrete-time systems, and reflect the diversity of mechanisms behind emergence and self-organization.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115591"},"PeriodicalIF":5.3,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535804","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 novel image encryption algorithm with anti-tampering attack capability 具有防篡改攻击能力的新型图像加密算法

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-19 DOI: 10.1016/j.chaos.2024.115638

Chengye Zou , Yubao Shang , Yongwei Yang , Changjun Zhou , Yunong Liu

{"title":"A novel image encryption algorithm with anti-tampering attack capability","authors":"Chengye Zou , Yubao Shang , Yongwei Yang , Changjun Zhou , Yunong Liu","doi":"10.1016/j.chaos.2024.115638","DOIUrl":"10.1016/j.chaos.2024.115638","url":null,"abstract":"<div><div>Image encryption is essential for safeguarding unauthorized access to visual content. However, with the emergence of numerous image encryption algorithms, it has become apparent that these algorithms often lack mechanisms to safeguard encrypted images from tampering, making it difficult to detect any changes that may occur during transmission or storage. Additionally, the limitations of permutation-diffusion model encryption algorithms have become increasingly apparent. While many existing algorithms attempt to resist differential attacks through the use of “one-time keys” or “multi-round diffusion” techniques, these approaches often result in increased complexity and reduced time efficiency. In this paper, we present an improved chaotic system and leverage it to develop a novel image encryption algorithm with inherent anti-tampering capabilities. This algorithm replaces the traditional one-time key with a fixed key, thereby enhancing security while also improving encryption efficiency. Furthermore, we integrate watermarking technology to address the challenges of detecting image tampering during storage and transmission. Experimental results demonstrate that the proposed algorithm exhibits robust performance, effectively resisting various forms of attacks while maintaining strong anti-tampering capabilities.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115638"},"PeriodicalIF":5.3,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535969","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

Spatiotemporal patterns in a 2D lattice of Hindmarsh–Rose neurons induced by high-amplitude pulses 高振幅脉冲诱导 Hindmarsh-Rose 神经元二维晶格中的时空模式

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-19 DOI: 10.1016/j.chaos.2024.115613

J.S. Ram , S.S. Muni , I.A. Shepelev

{"title":"Spatiotemporal patterns in a 2D lattice of Hindmarsh–Rose neurons induced by high-amplitude pulses","authors":"J.S. Ram , S.S. Muni , I.A. Shepelev","doi":"10.1016/j.chaos.2024.115613","DOIUrl":"10.1016/j.chaos.2024.115613","url":null,"abstract":"<div><div>We present numerical results for the effects of influence by high-amplitude periodic pulse series on a network of nonlocally coupled Hindmarsh–Rose neurons with 2D geometry of the topology. We consider the case when the pulse amplitude is larger than the amplitude of oscillations in the autonomous network for a wide range of pulse frequencies. An initial regime in the network is a spiral wave chimera. We show that the effects of external influence strongly depend on a balance between the pulse frequency and frequencies of the spectral peaks of the autonomous network. Except for the destructive role of the pulses, when they lead to loss of stability of the initial regime, we have also revealed a constructive role. We have found for the first time the emergence of a new type of multi-front spiral waves, when the wavefront represents a set of several close fronts, and the wave dynamics are significantly different from common spiral waves: neurons oscillate independently to the wave rotation, the rotation velocity is in many times less than for the common spiral wave, etc. We have also discovered several types of cluster spatiotemporal structures induced by the pulses.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"189 ","pages":"Article 115613"},"PeriodicalIF":5.3,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535874","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