Int. J. Bifurc. Chaos最新文献_第8页

Phases and Their Transitions Characterizing the Dynamics of Global Terrorism: A Multidimensional Scaling and Visualization Approach 表征全球恐怖主义动态的阶段及其转变:多维尺度和可视化方法

Int. J. Bifurc. Chaos Pub Date : 2023-05-01 DOI: 10.1142/s0218127423500669

António M. Lopes

引用次数: 0

A Reaction-Diffusion-Advection Chemostat Model in a Flowing Habitat: Mathematical Analysis and Numerical Simulations 流动生境中的反应-扩散-平流变化学模型:数学分析与数值模拟

Int. J. Bifurc. Chaos Pub Date : 2023-05-01 DOI: 10.1142/s0218127423500736

Wang Zhang, Hua Nie, Jianhua Wu

{"title":"A Reaction-Diffusion-Advection Chemostat Model in a Flowing Habitat: Mathematical Analysis and Numerical Simulations","authors":"Wang Zhang, Hua Nie, Jianhua Wu","doi":"10.1142/s0218127423500736","DOIUrl":"https://doi.org/10.1142/s0218127423500736","url":null,"abstract":"This paper is concerned with a reaction–diffusion–advection chemostat model with two species growing and competing for a single-limited resource. By taking the growth rates of the two species as variable parameters, we study the effect of growth rates on the dynamics of this system. It is found that there exist several critical curves, which may classify the dynamics of this system into three scenarios: (1) extinction of both species; (2) competitive exclusion; (3) coexistence. Moreover, we take numerical approaches to further understand the potential behaviors of the above critical curves and observe that the bistable phenomenon can occur, besides competitive exclusion and coexistence. To further study the effect of advection and diffusion on the dynamics of this system, we present the bifurcation diagrams of positive equilibrium solutions of the single species model and the two-species model with the advection rates and the diffusion rates increasing, respectively. These numerical results indicate that advection and diffusion play a key role in determining the dynamics of two species competing in a flow reactor.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"47 1","pages":"2350073:1-2350073:29"},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90614800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Bifurcation of Limit Cycles by Perturbing Piecewise Linear Hamiltonian Systems with Piecewise Polynomials 用分段多项式扰动分段线性哈密顿系统极限环的分岔

Int. J. Bifurc. Chaos Pub Date : 2023-04-01 DOI: 10.1142/s0218127423500591

Jiangbin Chen, Maoan Han

引用次数: 0

Stability of Periodic Orbits and Bifurcation Analysis of Ship Roll Oscillations in Regular Sea Waves 规则海浪中船舶横摇振荡周期轨道的稳定性及分岔分析

Int. J. Bifurc. Chaos Pub Date : 2023-04-01 DOI: 10.1142/s021812742350058x

Ranjan Kumar, R. Mitra

{"title":"Stability of Periodic Orbits and Bifurcation Analysis of Ship Roll Oscillations in Regular Sea Waves","authors":"Ranjan Kumar, R. Mitra","doi":"10.1142/s021812742350058x","DOIUrl":"https://doi.org/10.1142/s021812742350058x","url":null,"abstract":"Response, stability, and bifurcation of roll oscillations of a biased ship under regular sea waves are investigated. The primary and subharmonic response branches are traced in the frequency domain employing the Incremental Harmonic Balance (IHB) method with a pseudo-arc-length continuation approach. The stability of periodic responses and bifurcation points are determined by monitoring the eigenvalues of the Floquet transition matrix. The primary and higher-order subharmonic responses experience a cascade of period-doubling bifurcations, eventually culminating in chaotic responses detected by numerical integration (NI) of the equation of motion. Bifurcation diagrams are obtained through the period-doubling route to chaos. Solutions are aided with phase portrait, Poincaré map, time history and Fourier spectrum for better clarity as and when required. Finally, the same ship model is investigated under variable excitation moments that may result from different wave heights in regular seas. The biased ship roll model exhibits primary and subharmonic responses, jump phenomena, coexistence of multiple responses, and chaotically modulated motion. The stable, periodic, and steady-state roll responses obtained by the IHB method are validated by the NI method. Results obtained by both methods are found to agree very well.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"18 1","pages":"2350058:1-2350058:31"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78522184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Refined Composite Multiscale Phase Rényi Dispersion Entropy for Complexity Measure 复杂性度量的精细复合多尺度相r<s:1>色散熵

Int. J. Bifurc. Chaos Pub Date : 2023-04-01 DOI: 10.1142/s0218127423500542

Yu-Han Tong, Guang Ling, Z. Guan, Qingju Fan, Li Wan

{"title":"Refined Composite Multiscale Phase Rényi Dispersion Entropy for Complexity Measure","authors":"Yu-Han Tong, Guang Ling, Z. Guan, Qingju Fan, Li Wan","doi":"10.1142/s0218127423500542","DOIUrl":"https://doi.org/10.1142/s0218127423500542","url":null,"abstract":"Assessing the complexity of signals or dynamical systems is important in disease diagnosis, mechanical system defect, astronomy analysis, and many other fields. Although entropy measures as complexity estimators have greatly improved, the majority of these measures are quite sensitive to specified parameters and are impacted by short data lengths. This paper proposes a novel entropy algorithm to enhance the existing complexity assessment methods based on classical dispersion entropy (DE) and Rényi entropy (RE) by introducing refined composite multiscale coarse-grained treatment and phase transformation. The proposed refined composite multiscale phase Rényi dispersion entropy (PRRCMDE) addresses the flaws of various existing entropy approaches while still incorporating their merits. Several simulated signals from logistic mapping, AR model, MIX process, and additive WGN periodic signals are adopted to examine the performance of PRRCMDE from multiple perspectives. It demonstrates that the efficacy of the suggested algorithm can be increased by modifying the DE and RE parameters to a reasonable range. As a real-world application, the bearings’ varied fault types and levels can also be recognized clearly.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"43 1","pages":"2350054:1-2350054:15"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85565296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Turing Bifurcation Induced by Cross-Diffusion and Amplitude Equation in Oncolytic Therapeutic Model: Viruses as Anti-Tumor Means 溶瘤治疗模型中交叉扩散诱导的图灵分岔和振幅方程:病毒作为抗肿瘤手段

Int. J. Bifurc. Chaos Pub Date : 2023-04-01 DOI: 10.1142/s0218127423500621

F. Najm, R. Yafia, M. Aziz-Alaoui

引用次数: 0

Periodicity Analysis of the Logistic Map over Ring ℤ3n 环上Logistic映射的周期性分析

Int. J. Bifurc. Chaos Pub Date : 2023-04-01 DOI: 10.1142/S0218127423500633

Xiaoxiong Lu, Eric Yong Xie, Chengqing Li

引用次数: 8

Computing Invariant Densities of a Class of Piecewise Increasing Mappings 一类分段递增映射的不变密度计算

Int. J. Bifurc. Chaos Pub Date : 2023-04-01 DOI: 10.1142/s0218127423500578

Zi Wang, Jiu Ding, N. Rhee

引用次数: 0

Dynamics of a Coccinellids-Aphids Model with Stage Structure in Predator Including Maturation and Gestation Delays 含成熟期和妊娠期延迟的捕食者瓢虫-蚜虫阶段结构模型动力学

Int. J. Bifurc. Chaos Pub Date : 2023-04-01 DOI: 10.1142/s0218127423500645

Mengran Yuan, Na Wang

{"title":"Dynamics of a Coccinellids-Aphids Model with Stage Structure in Predator Including Maturation and Gestation Delays","authors":"Mengran Yuan, Na Wang","doi":"10.1142/s0218127423500645","DOIUrl":"https://doi.org/10.1142/s0218127423500645","url":null,"abstract":"This work studies a three-dimensional predator–prey model with gestation delay and stage structure between aphidophagous coccinellids and aphid pests, where the interaction between mature coccinellids and aphids is inscribed by Crowley–Martin functional response function, and immature coccinellids and aphids act in the form of Holling-I type. We prove the positivity and boundedness of the solution of the nondelayed system and analyze its equilibrium point, local asymptotic stability, and global stability. In addition to the delays, the critical values of Hopf bifurcation occurring for different parameters are also found from the numerical simulation. The stability of the delayed system and Hopf bifurcation with different delays as parameters are also discussed. Our model analysis shows that the time delay essentially governs the system’s dynamics, and the stability of the system switches as delays increase. We also investigate the direction and stability of the Hopf bifurcation using the normal form theory and center manifold theorem. Finally, we perform computer simulations and depict diagrams to support our theoretical results.","PeriodicalId":13688,"journal":{"name":"Int. J. Bifurc. Chaos","volume":"13 1","pages":"2350064:1-2350064:23"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91055904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamics of the Rotating Arm of an Electromechanical System Subjected to the Action of Circularly Placed Magnets: Numerical Study and Experiment 环形磁体作用下机电系统旋转臂的动力学:数值研究与实验

Int. J. Bifurc. Chaos Pub Date : 2023-04-01 DOI: 10.1142/s0218127423500529

R. K. Tagne, P. Woafo, J. Awrejcewicz

引用次数: 0