Pub Date : 2024-01-30DOI: 10.1080/14689367.2024.2307515
Sofia B. S. D. Castro, Ana M. J. Ferreira, Isabel S. Labouriau
The Jungle Game is used in population dynamics to describe cyclic competition among species that interact via a food chain. The dynamics of the Jungle Game supports a heteroclinic network whose cyc...
{"title":"Stability of cycles and survival in a jungle game with four species","authors":"Sofia B. S. D. Castro, Ana M. J. Ferreira, Isabel S. Labouriau","doi":"10.1080/14689367.2024.2307515","DOIUrl":"https://doi.org/10.1080/14689367.2024.2307515","url":null,"abstract":"The Jungle Game is used in population dynamics to describe cyclic competition among species that interact via a food chain. The dynamics of the Jungle Game supports a heteroclinic network whose cyc...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139648531","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}
Pub Date : 2024-01-25DOI: 10.1080/14689367.2024.2307010
C. Lizana, W. Ranter
Recently, the authors proved in [C. Lizana and W. Ranter, Topological obstructions for robustly transitive endomorphisms on surfaces, Adv. Math. 390 (2021), pp. 107901] that every C1-robustly trans...
最近，作者在 [C. Lizana and W. Ranter, Topological obstructions for robust transitively endomorphism on surfaces, Adv.Lizana and W. Ranter, Topological obstructions for robustly transitive endomorphisms on surfaces, Adv.390 (2021), pp. 107901] 中证明，每一个 C1-robustly trans...
{"title":"New classes of C1-robustly transitive maps with persistent critical points","authors":"C. Lizana, W. Ranter","doi":"10.1080/14689367.2024.2307010","DOIUrl":"https://doi.org/10.1080/14689367.2024.2307010","url":null,"abstract":"Recently, the authors proved in [C. Lizana and W. Ranter, Topological obstructions for robustly transitive endomorphisms on surfaces, Adv. Math. 390 (2021), pp. 107901] that every C1-robustly trans...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"171 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139585141","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}
Pub Date : 2024-01-23DOI: 10.1080/14689367.2024.2307007
Mirelson M. Freitas, Anderson J. A. Ramos, Jociane S. Fonseca
We develop the theory of kernel sections of non-autonomous dynamical systems. Under some sufficient conditions, we establish some abstract results on the asymptotically autonomous stability of kern...
{"title":"Asymptotically autonomous stability of kernel sections for lattice plate equations with nonlinear damping","authors":"Mirelson M. Freitas, Anderson J. A. Ramos, Jociane S. Fonseca","doi":"10.1080/14689367.2024.2307007","DOIUrl":"https://doi.org/10.1080/14689367.2024.2307007","url":null,"abstract":"We develop the theory of kernel sections of non-autonomous dynamical systems. Under some sufficient conditions, we establish some abstract results on the asymptotically autonomous stability of kern...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139562315","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}
Pub Date : 2023-12-28DOI: 10.1080/14689367.2023.2299238
Hao Wen, Jianhua Huang, Liang Zhang
This paper is devoted to the stochastic travelling wave solutions of a three-species competitive–cooperative system with multiplicative noise. The existence of the travelling wave solutions can be ...
本文主要研究具有乘法噪声的三物种竞争-合作系统的随机游波解。游波解的存在可 ...
{"title":"Stochastic travelling wave of three-species competitive–cooperative systems with multiplicative noise","authors":"Hao Wen, Jianhua Huang, Liang Zhang","doi":"10.1080/14689367.2023.2299238","DOIUrl":"https://doi.org/10.1080/14689367.2023.2299238","url":null,"abstract":"This paper is devoted to the stochastic travelling wave solutions of a three-species competitive–cooperative system with multiplicative noise. The existence of the travelling wave solutions can be ...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"99 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139067459","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}
Pub Date : 2023-12-27DOI: 10.1080/14689367.2023.2298320
Pengfei Zhang
We consider a generic symplectic partially hyperbolic diffeomorphism close to direct/skew products of symplectic Anosov diffeomorphisms with area-preserving diffeomorphisms and prove that every hyp...
{"title":"Homoclinic points of symplectic partially hyperbolic systems with 2D centre","authors":"Pengfei Zhang","doi":"10.1080/14689367.2023.2298320","DOIUrl":"https://doi.org/10.1080/14689367.2023.2298320","url":null,"abstract":"We consider a generic symplectic partially hyperbolic diffeomorphism close to direct/skew products of symplectic Anosov diffeomorphisms with area-preserving diffeomorphisms and prove that every hyp...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139054913","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}
Pub Date : 2023-12-05DOI: 10.1080/14689367.2023.2290045
Bo Han, Xiao Wen
In this paper, we study the centralizer of a separating continuous flow without fixed points. We show that if M is a compact metric space and ϕt:M→M is a separating flow without fixed points, then ...
本文研究无定点分离连续流的中心子。我们证明，如果 M 是一个紧凑的度量空间，且 jt:M→M 是一个无固定点的分离流，那么 ...
{"title":"Centralizer of fixed point free separating flows","authors":"Bo Han, Xiao Wen","doi":"10.1080/14689367.2023.2290045","DOIUrl":"https://doi.org/10.1080/14689367.2023.2290045","url":null,"abstract":"In this paper, we study the centralizer of a separating continuous flow without fixed points. We show that if M is a compact metric space and ϕt:M→M is a separating flow without fixed points, then ...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138556755","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}
Pub Date : 2023-11-27DOI: 10.1080/14689367.2023.2287432
Trinh Ngoc Hai
In this paper, we study some Krasnoselskii-Mann type dynamical systems in solving fixed point problems. The first one can be regarded as a continuous version of the Krasnoselskii-Mann iterations. W...
{"title":"Novel regularized dynamical systems for solving hierarchical fixed point problems","authors":"Trinh Ngoc Hai","doi":"10.1080/14689367.2023.2287432","DOIUrl":"https://doi.org/10.1080/14689367.2023.2287432","url":null,"abstract":"In this paper, we study some Krasnoselskii-Mann type dynamical systems in solving fixed point problems. The first one can be regarded as a continuous version of the Krasnoselskii-Mann iterations. W...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138544456","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}
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