Chaos Solitons & Fractals最新文献

{"title":"Chemical reaction and radiation analysis for the MHD Casson nanofluid fluid flow using artificial intelligence","authors":"Raheela Razzaq, Zeeshan Khan, M.N. Abrar, Bandar Almohsen, Umer Farooq","doi":"10.1016/j.chaos.2024.115756","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115756","url":null,"abstract":"This study examines the boundary layer flow of a Casson nanofluid over an inclined extending surface, addressing the critical issue of heat and mass transmission in nanofluid applications. The research is motivated by the need to understand the thermal efficiencies of fluid fluxes influenced by Brownian motion and thermophoresis, particularly in the presence of Soret and Dufour effects. To tackle this complex problem, we employ the Buongiorno model to analyze the nonlinear dynamics of Casson nanofluid flow within an inclined channel, focusing on the intensified boundary layer's critical flow parameters. An innovative approach utilizing Artificial Neural Networks (ANNs) is introduced to solve the intricate nonlinear differential equations governing the heat transfer and flow characteristics of Casson nanofluids. The bvp4c built-in MATLAB function is utilized to assess the performance of the acquired current physical model across various scenarios, and a correlation of the results with a reference data set is conducted to verify the validity and efficiency of the proposed algorithm. This method demonstrates a high level of efficiency and accuracy, achieving a mean squared error in the range of 10<ce:sup loc=\"post\">−9</ce:sup> to 10<ce:sup loc=\"post\">−10</ce:sup>. The results of this research not only enhance computational efficiency but also improve solution accuracy, making significant contributions to the understanding of coupled heat and mass transfer phenomena. The findings have broad applications across various industries, including biomedical devices, lubrication, energy systems, food processing, and cooling for electronics, where nanofluid flows are prevalent. The inclusion of Soret and Dufour effects further enriches the applicability of this analysis, providing valuable insights into the complex interactions within nanofluid systems. The effect of specific physical parameters is stated in terms of energy, velocity, and mass configuration; the velocity outline decreases with an increase in magnetic parameter. The concentration profile is lowered by an increase in the chemical reaction parameter and thermophoresis factor. As the Brownian motion factor rises, mass diffusion shows increases.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"7 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679225","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}

{"title":"A dual-threshold approach for the dynamics of bi-polarization in signed networks with communities","authors":"Shuo Liu, Shuhui Guo, Huijun Zheng, Wenxuan Fu, Haoxiang Xia, Xin Lu","doi":"10.1016/j.chaos.2024.115735","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115735","url":null,"abstract":"The intensified global bi-polarization has been threatening social stability and democracy in recent years, with social networks of various forms playing a key role in shaping opinion dynamics. Understanding how individual and collective opinions form, change, and spread is crucial for mitigating bi-polarization. However, existing research rarely investigates the effects of signs on edges and their distributional characteristics among communities. This study introduces a dual-threshold opinion dynamics model in signed networks with communities to identify and analyze the impact of edge heterogeneity and its distribution on assimilation and repulsion social influences in network opinion evolution. It reveals that repulsive social influences introduced by negative edges cause assimilative social influences from positive edges to increase bi-polarization in a non-monotonic manner. The distribution of initial opinions and the tendency of intra-community node connections significantly affect the degree of bi-polarization. Different initial opinions and moderate inter-community connections can mitigate bi-polarization. Additionally, the density of positive inter-community connections has a non-monotonic effect on bi-polarization, increasing the likelihood of network consensus. This study uncovers the complex dynamics of opinion evolution, enhances understanding of how social influence and network structures shape opinion dynamics, and offers a broader perspective for effectively managing and influencing the evolution of public opinion.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"231 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679229","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}

{"title":"Transport of the moving obstacle driven by alignment active particles","authors":"Jing-jing Liao, Jia-le Wu, Qi Kang","doi":"10.1016/j.chaos.2024.115747","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115747","url":null,"abstract":"Transport of a moving V-shaped obstacle driven by alignment active particles in a two-dimensional channel is numerically investigated. The obstacle’s movement in the <mml:math altimg=\"si5.svg\" display=\"inline\"><mml:mi>x</mml:mi></mml:math>-direction results from nonequilibrium driving by alignment active particles and the longitudinal asymmetry of the obstacle’s position, disrupting thermodynamic equilibrium. The transport direction of the obstacle is determined by the interplay among the polar interaction strength, the properties of the obstacle, and the properties of the active particles. Remarkably, the direction of the obstacle’s movement and the average velocity of the active particles can both change several times by varying system parameters such as the polar interaction strength, the number of active particles and the translational diffusion coefficient. These results offer novel strategies for powering obstacles using bacteria or micrometer particles.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"129 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679226","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}

{"title":"Interaction of mixed localized waves in optical media with higher-order dispersion","authors":"Emmanuel Kengne, Ahmed Lakhssassi, WuMing Liu","doi":"10.1016/j.chaos.2024.115743","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115743","url":null,"abstract":"This work focuses on the interaction of mixed localized waves in optical media with higher-order dispersions whose dynamics are governed by a modified cubic–quintic nonlinear Schrödinger equation. For proving the integrability of this model equation, we start by building a Lax pair and an infinitely many conservation laws. Applying the linear stability analysis method, the baseband modulational instability of a stationary continuous wave solution is investigated. Studying the baseband modulational instability phenomenon, we show that the optical loss influences the instability gain spectrum: the stationary continuous wave solution under consideration satisfies the condition of the baseband modulational instability only when the optical loss is neglected. According to the generalized perturbation (<mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mrow><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">−</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math>)–fold Darboux transformation, the existence and properties of the parametric first-, second-, and third-order mixed localized wave solutions for the model equation are constructed when the loss term is neglected. The built solutions helping, we engineer in optical media with higher-order dispersions new nonlinear structures showing interactions between various kinds of nonlinear waves such as multi-peak bright/dark solitons, bright/dark breathers, bright/dark rogue waves, as well as periodic waves. Graphical illustrations are then used for investigating main characteristics of the mixed localized waves propagating on vanishing/nonvanishing continuous wave background. Interestingly, our study produces nonlocal breathers in which the entire optical field oscillates periodically in conjunction with the central local oscillation during transmission. Investigating the effects of various parameters on the nonlinear structures resulting from built mixed localized wave solutions of the model equation, we show that parameter of the fourth-order dispersion can be used to describe wave compression. Also, we show that the model parameters are useful for controlling the optical waves in lossless optical media with both higher-order dispersion whose dynamics are governed by the model equation under consideration. Our results are useful for investigating mixed localized waves in nonlinear metamaterials with cubic–quintic nonlinearity, detuning intermodal dispersion, self steepening and self-frequency effects, and nonlinear third- and fourth-order dispersions.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"59 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679227","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}

{"title":"Bifurcation analysis and exact solutions of the conformable time fractional Symmetric Regularized Long Wave equation","authors":"Jing Zhang, Zhen Zheng, Hui Meng, Zenggui Wang","doi":"10.1016/j.chaos.2024.115744","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115744","url":null,"abstract":"This paper investigates exact solutions for the conformable time fractional Symmetric Regularized Long Wave equation by applying the bifurcation analysis method and the <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mrow><mml:mo>exp</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mo>−</mml:mo><mml:mi>Φ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>ξ</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>-expansion method. By analyzing the long behaviors of the exact solutions plotted in 3D and 2D figures, we can model weakly nonlinear ion acoustic and space-charge waves. The bifurcation of the equation is analyzed based on the condition where the first integral constant is zero and the second integral constant is not zero. Based on different parameter conditions, many phase portraits and exact solutions including dark soliton, bright soliton, breaking wave, periodic and singular solutions for the equation are obtained. It has been proven that bifurcation method provides a wider range of solutions compared with other methods. Then the <mml:math altimg=\"si2.svg\" display=\"inline\"><mml:mrow><mml:mo>exp</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mo>−</mml:mo><mml:mi>Φ</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>ξ</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:math>expansion method is utilized to get the more solutions. Next graphical representations are presented that show physical characteristics of the solutions and the significance of the methods for fractional partial differential equations. Finally, we make a comprehensive comparison with other literatures.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"19 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679230","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}

{"title":"A thermodynamic model of the REM–NREM sleep cycle","authors":"Haeun Sun, Yurii Ishbulatov, Anatoly Karavaev, Denis Zakharov, Alexey Zaikin","doi":"10.1016/j.chaos.2024.115732","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115732","url":null,"abstract":"Although many models explain the spontaneous alternation between two distinct sleep states, Rapid Eye Movement (REM) and Non-Rapid Eye Movement (NREM), new empirical evidence has accumulated regarding consistent temperature changes during sleep stage transitions in small animals. The temperature dependence of neuro-excitability and low-frequency (<mml:math altimg=\"si1.svg\" display=\"inline\"><mml:mo>≤</mml:mo></mml:math>4 Hz) neuronal activity has also been investigated theoretically and experimentally. Based on these phenomena, we constructed a stochastic thermodynamic model of the ultradian sleep rhythm. The model was validated through simulation, demonstrating statistical properties that align with experimental data from rats. This model would provide new insights into the mechanisms behind the REM cycle and can be applied in new therapies for sleep disorders.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"97 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679236","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}

{"title":"Dynamic analysis of phytoplankton–zooplankton–fish singular perturbation system on three time-scales","authors":"Xin Ai, Yue Zhang","doi":"10.1016/j.chaos.2024.115711","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115711","url":null,"abstract":"In this paper, a three-time scale plankton–fish singular perturbation system is proposed by considering the Beddington–DeAngelis functional response and intraguild predation (IGP). For (1, 2)-fast–slow systems, the singularity and classification of generic fold points are discussed. The small amplitude oscillations (SAOs) will generate around the weak characteristic direction near the folded node, which provides a theoretical reference for effectively predicting the phenomenon of algal blooms. It is also obtained that the small amplitude oscillation cannot be generated by the singular Hopf bifurcation and the folded node mechanism. For (2, 1)-fast–slow systems, the existence of singular Hopf bifurcation is discussed by using the center manifold reduction method. The stability of the periodic solution of the singular Hopf bifurcation is discussed. Furthermore, the existence and uniqueness of the relaxation oscillation in <mml:math altimg=\"si1.svg\" display=\"inline\"><mml:msup><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math> are researched by using the entry–exit function. In addition, the effect of stochastic factors on the singular perturbation system is considered.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"13 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679238","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}

{"title":"Synchronization resilience of coupled fluctuating-damping oscillators in small-world weighted complex networks","authors":"Ruoqi Zhang, Lifeng Lin, Huiqi Wang","doi":"10.1016/j.chaos.2024.115751","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115751","url":null,"abstract":"The mechanisms of synergy in complex networks have garnered significant attention across scientific disciplines. In this paper, we present a model of coupled oscillators with damping fluctuations within a small-world weighted complex network. We analyze the system’s asymptotic synchronization to derive conditions for asymptotic stability and evaluate the steady-state response. Our numerical simulations highlight the substantial impact of network weight heterogeneity and scale on asymptotic synchronization. We also examine asymptotic synchronization resilience under various removal strategies, revealing that increased noise intensity and lower switching rates reduce resilience. Notably, the removal of strong links poses the greatest vulnerability, while weak links have minimal impact. Interestingly, enhancing weight heterogeneity and scale can improve resilience in certain cases. Our results further show that heterogeneity accelerates synchronization speed, indicating a non-monotonic relationship with network scale. Ultimately, we confirm our theoretical findings and reveal intriguing generalized stochastic resonance (GSR) phenomena.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"71 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679224","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}

{"title":"A memristive Ikeda map and its application in image encryption","authors":"Mengjiao Wang, Zou Yi, Zhijun Li","doi":"10.1016/j.chaos.2024.115740","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115740","url":null,"abstract":"Existing research indicates that discrete-time chaotic systems are more likely to achieve hyperchaotic states in lower dimensions compared to continuous-time chaotic systems. Recently, introducing discrete memristors into chaotic map to enhance system dynamics performance has become a hot topic in the field of chaos research. In this paper, a memristive Ikeda map (MIKM) based on discrete memristors is proposed and the system dynamics behavior is analyzed in depth by chaotic attractor phase diagrams, Lyapunov exponent spectrum, bifurcation diagrams, spectral entropy (SE), distributional properties and fractal dimensions. Numerical simulation results indicate that the introduction of discrete memristor enriches the dynamic characteristics of the Ikeda map, such as expanding the range of chaos, enhancing the ergodicity, and prompting the transition from chaotic to hyperchaotic states. We further studied the influence of coupling strength <mml:math altimg=\"si108.svg\" display=\"inline\"><mml:mi>K</mml:mi></mml:math> on the dynamic behavior of the system. We explored the use of the discrete memristor as internal perturbations to achieve parameter-controlled symmetric attractors and the introduction of constant controllers to achieve signal polarity adjustment. At the same time, we implemented the improved Ikead map on the STM32 hardware platform and developed a pseudo-random number generator (PRNG). Finally, an image encryption algorithm was designed based on the proposed improved Ikeda map. The experimental results show that the proposed algorithm is robust.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"18 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679228","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}

{"title":"Impact of Lévy noise on spiral waves in a lattice of Chialvo neuron map","authors":"I.D. Kolesnikov, A.V. Bukh, S.S. Muni, J.S. Ram","doi":"10.1016/j.chaos.2024.115759","DOIUrl":"https://doi.org/10.1016/j.chaos.2024.115759","url":null,"abstract":"We aim to explore the features of destroying the spiral wave regime in a lattice network of Chialvo neurons by applying external noise with different statistical characteristics. Chialvo neurons are represented with a two-dimensional recurrence map. The lattice of neurons under study observed with random initial conditions and with special initial conditions for local and nonlocal coupling. We consider a detailed two-parameter plot in the plane of coupling strength — distribution width of Lévy process which revealed that the existence of spiral waves are dependent on the network and noise parameters. We examine how coupling strength and range parameters influence on the spiral wave dynamics in a coupled lattice system. Increasing the coupling range enlarges the region where spiral waves can exist. Additionally we show that the destruction of spiral waves is achievable with a certain threshold of the distribution width parameter value depending on the noise stability parameter value and the noise asymmetry parameter value. A decrease in the noise stability parameter as well as in the noise asymmetry parameter decreases the threshold value. We show that the influence of Lévy noise on spiral waves in the lattice of Chialvo neurons results in a transition to target waves that are more stable than in the case of transition for random initial conditions to target waves without noise. Finally, we have found that the noise could cause the lattice to switch between various spiral-like regimes as time passes.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"15 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679223","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}