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Journal of Applied Nonlinear Dynamics最新文献

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Fractal Escape Basins for Magnetic Field Lines in Fusion Plasma Devices 聚变等离子体器件中磁力线的分形逃逸池
IF 0.5
Journal of Applied Nonlinear Dynamics Pub Date : 2023-12-01 DOI: 10.5890/jand.2023.12.007
A. C. Mathias, L. Souza, Adriane R. Schelin, I. L. Caldas, Ricardo L. Viana
{"title":"Fractal Escape Basins for Magnetic Field Lines in Fusion Plasma Devices","authors":"A. C. Mathias, L. Souza, Adriane R. Schelin, I. L. Caldas, Ricardo L. Viana","doi":"10.5890/jand.2023.12.007","DOIUrl":"https://doi.org/10.5890/jand.2023.12.007","url":null,"abstract":"Plasma confinement in fusion devices like Tokamaks depends on the existence of closed magnetic field lines with toroidal geometry. The magnetic field line structure in toroidal plasma devices is a Hamiltonian system, where the role of time is played by an ignorable coordinate. Nonsymmetrical perturbations lead to a nonintegrable hamil-tonian system that can exhibit area-filling chaotic orbits. If exits are suitably positioned on a chaotic magnetic field line region, the Hamiltonian system becomes open and one is interested to know the corresponding escape basins, i.e., the sets of initial conditions for which the corresponding field lines escape through a given exit. From general mathematical arguments, it can be shown that these escape basins are fractal. In this paper, we investigate quantitatively fractal escape basins in the magnetic field line structure in Tokamaks described by an area-preserving map proposed by Balescu et al, us-ing the uncertainty dimension to characterize the fractal structure of the magnetic field lines. We also use the concept of basin entropy in order to quantify the final state uncertainty, a relevant issue that arises when fractal basins are involved.","PeriodicalId":37683,"journal":{"name":"Journal of Applied Nonlinear Dynamics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48588674","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
Nonlinear Random Vibration of Micro-Beams Resting on Visco-Elastic Foundation via the Modified Couple Stress Theory 基于修正耦合应力理论的粘弹性地基上微梁的非线性随机振动
IF 0.5
Journal of Applied Nonlinear Dynamics Pub Date : 2023-12-01 DOI: 10.5890/jand.2023.12.006
D. Hieu, Nguyen Thi Hoa
{"title":"Nonlinear Random Vibration of Micro-Beams Resting on Visco-Elastic Foundation via the Modified Couple Stress Theory","authors":"D. Hieu, Nguyen Thi Hoa","doi":"10.5890/jand.2023.12.006","DOIUrl":"https://doi.org/10.5890/jand.2023.12.006","url":null,"abstract":"","PeriodicalId":37683,"journal":{"name":"Journal of Applied Nonlinear Dynamics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48505773","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 a Plankton-Fish Model with Infection in Phytoplankton Species 浮游植物感染下的浮游生物-鱼类模型动力学
IF 0.5
Journal of Applied Nonlinear Dynamics Pub Date : 2023-12-01 DOI: 10.5890/jand.2023.12.005
P. Panja
{"title":"Dynamics of a Plankton-Fish Model with Infection in Phytoplankton Species","authors":"P. Panja","doi":"10.5890/jand.2023.12.005","DOIUrl":"https://doi.org/10.5890/jand.2023.12.005","url":null,"abstract":"","PeriodicalId":37683,"journal":{"name":"Journal of Applied Nonlinear Dynamics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48132601","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
Optimal Control Applied to Marine Eco-Epidemiological model with Disease in Prey Species 最优控制在海洋生态流行病学模型中的应用
IF 0.5
Journal of Applied Nonlinear Dynamics Pub Date : 2023-12-01 DOI: 10.5890/jand.2023.12.003
S.M. Mahathy Hasan, M. H. A. Biswas, L. S. Andallah
{"title":"Optimal Control Applied to Marine Eco-Epidemiological model with Disease in Prey Species","authors":"S.M. Mahathy Hasan, M. H. A. Biswas, L. S. Andallah","doi":"10.5890/jand.2023.12.003","DOIUrl":"https://doi.org/10.5890/jand.2023.12.003","url":null,"abstract":"","PeriodicalId":37683,"journal":{"name":"Journal of Applied Nonlinear Dynamics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43849357","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 a Delayed Solow Model with a Structured Population and General Labor Model 具有结构人口的延迟Solow模型的动力学与一般劳动模型
IF 0.5
Journal of Applied Nonlinear Dynamics Pub Date : 2023-12-01 DOI: 10.5890/jand.2023.12.011
S. E. Fadily
{"title":"Dynamics of a Delayed Solow Model with a Structured Population and General Labor Model","authors":"S. E. Fadily","doi":"10.5890/jand.2023.12.011","DOIUrl":"https://doi.org/10.5890/jand.2023.12.011","url":null,"abstract":"","PeriodicalId":37683,"journal":{"name":"Journal of Applied Nonlinear Dynamics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43764106","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
Investigation of Bifurcation Analysis and Soliton Solutions to the Longitudinal Wave Equation in a Magneto-Electro-Elastic Circular Rod 磁-电弹性圆杆纵波方程的分岔分析和孤子解研究
IF 0.5
Journal of Applied Nonlinear Dynamics Pub Date : 2023-12-01 DOI: 10.5890/jand.2023.12.010
Nisa Çelik, E. Yaşar
{"title":"Investigation of Bifurcation Analysis and Soliton Solutions to the Longitudinal Wave Equation in a Magneto-Electro-Elastic Circular Rod","authors":"Nisa Çelik, E. Yaşar","doi":"10.5890/jand.2023.12.010","DOIUrl":"https://doi.org/10.5890/jand.2023.12.010","url":null,"abstract":"","PeriodicalId":37683,"journal":{"name":"Journal of Applied Nonlinear Dynamics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46299917","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
A Cancer Model Study to See the Dynamical Effect of a Therapeutic Approach through Virus Injecting 癌症模型研究观察病毒注射治疗方法的动态效果
IF 0.5
Journal of Applied Nonlinear Dynamics Pub Date : 2023-12-01 DOI: 10.5890/jand.2023.12.008
A. Saikh, Kalyan Das, N. H. Gazi
{"title":"A Cancer Model Study to See the Dynamical Effect of a Therapeutic Approach through Virus Injecting","authors":"A. Saikh, Kalyan Das, N. H. Gazi","doi":"10.5890/jand.2023.12.008","DOIUrl":"https://doi.org/10.5890/jand.2023.12.008","url":null,"abstract":"","PeriodicalId":37683,"journal":{"name":"Journal of Applied Nonlinear Dynamics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47709158","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
Spatiotemporal Dynamics of Chemovirotherapy on Immunogenic Tumours 化疗病毒治疗免疫原性肿瘤的时空动力学
IF 0.5
Journal of Applied Nonlinear Dynamics Pub Date : 2023-12-01 DOI: 10.5890/jand.2023.12.002
Koyel Chakravarty
{"title":"Spatiotemporal Dynamics of Chemovirotherapy on Immunogenic Tumours","authors":"Koyel Chakravarty","doi":"10.5890/jand.2023.12.002","DOIUrl":"https://doi.org/10.5890/jand.2023.12.002","url":null,"abstract":"","PeriodicalId":37683,"journal":{"name":"Journal of Applied Nonlinear Dynamics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46211401","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
Dynamic Analysis and Adaptive Synchronization of a New Chaotic System 一种新型混沌系统的动态分析与自适应同步
IF 0.5
Journal of Applied Nonlinear Dynamics Pub Date : 2023-12-01 DOI: 10.5890/jand.2023.12.012
Rami Amira, F. Hannachi
{"title":"Dynamic Analysis and Adaptive Synchronization of a New Chaotic System","authors":"Rami Amira, F. Hannachi","doi":"10.5890/jand.2023.12.012","DOIUrl":"https://doi.org/10.5890/jand.2023.12.012","url":null,"abstract":"","PeriodicalId":37683,"journal":{"name":"Journal of Applied Nonlinear Dynamics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44489833","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
Existence and Controllability Results for Higher Order Caputo Fractional Damping System with Impulses 具有脉冲的高阶Caputo分数阶阻尼系统的存在性和可控性结果
IF 0.5
Journal of Applied Nonlinear Dynamics Pub Date : 2023-12-01 DOI: 10.5890/jand.2023.12.001
M. Tamilarasi, B. Radhakrishnan
{"title":"Existence and Controllability Results for Higher Order Caputo Fractional Damping System with Impulses","authors":"M. Tamilarasi, B. Radhakrishnan","doi":"10.5890/jand.2023.12.001","DOIUrl":"https://doi.org/10.5890/jand.2023.12.001","url":null,"abstract":"","PeriodicalId":37683,"journal":{"name":"Journal of Applied Nonlinear Dynamics","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45540380","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
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