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Dynamical Systems-An International Journal最新文献

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A topological characterization of periodic flows 周期流的拓扑特征
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2022-10-04 DOI: 10.1080/14689367.2022.2130033
Khadija Ben Rejeb
{"title":"A topological characterization of periodic flows","authors":"Khadija Ben Rejeb","doi":"10.1080/14689367.2022.2130033","DOIUrl":"https://doi.org/10.1080/14689367.2022.2130033","url":null,"abstract":"Let be a continuous flow of homeomorphisms of a connected n-manifold M. The flow G is called periodic if: for some real s>0, . A global section for a flow G is a closed subset K of M such that every orbit under G intersects K in exactly one point. In this paper, we give a topological characterization of periodic flows with global sections for . Next, we consider periodic flows defined on any connected n-manifold M, and we give a similar local characterization.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":"38 1","pages":"20 - 29"},"PeriodicalIF":0.5,"publicationDate":"2022-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41780613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Nonlinear thermodynamic formalism for flows 流动的非线性热力学形式
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2022-10-02 DOI: 10.1080/14689367.2022.2098091
L. Barreira, Carllos Holanda
{"title":"Nonlinear thermodynamic formalism for flows","authors":"L. Barreira, Carllos Holanda","doi":"10.1080/14689367.2022.2098091","DOIUrl":"https://doi.org/10.1080/14689367.2022.2098091","url":null,"abstract":"ABSTRACT We introduce a version of the nonlinear thermodynamic formalism for flows. Moreover, we discuss the existence, uniqueness, and characterization of equilibrium measures for almost additive families of continuous functions with tempered variation. We also consider with some care the special case of additive families for which it is possible to strengthen some of the results. The proofs are mainly based on multifractal analysis.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":"37 1","pages":"603 - 629"},"PeriodicalIF":0.5,"publicationDate":"2022-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47649738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature 关于非正曲率秩一曲面测地流相变的注记
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2022-09-22 DOI: 10.1080/14689367.2023.2229752
K. Burns, Dong Chen
{"title":"A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature","authors":"K. Burns, Dong Chen","doi":"10.1080/14689367.2023.2229752","DOIUrl":"https://doi.org/10.1080/14689367.2023.2229752","url":null,"abstract":"For any rank 1 nonpositively curved surface $M$, it was proved by Burns-Climenhaga-Fisher-Thompson that for any $q<1$, there exists a unique equilibrium state $mu_q$ for $qvarphi^u$, where $varphi^u$ is the geometric potential. We show that as $qto 1-$, the weak$^*$ limit of $mu_q$ is the restriction of the Liouville measure to the regular set.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45563301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
On the distality and expansivity of certain maps on spheres 论球面上某些地图的距离和可拓性
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2022-09-12 DOI: 10.1080/14689367.2023.2248013
M. Choudhuri, Gianluca Faraco, Alok Yadav
{"title":"On the distality and expansivity of certain maps on spheres","authors":"M. Choudhuri, Gianluca Faraco, Alok Yadav","doi":"10.1080/14689367.2023.2248013","DOIUrl":"https://doi.org/10.1080/14689367.2023.2248013","url":null,"abstract":"Any affine map on the (n+1)-dimensional Euclidean space gives rise to a natural map on the n-dimensional sphere whose dynamical aspects are not so well-studied in the literature. We explore the dynamical aspects of these maps by investigating about their distality and expansivity.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42648747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
On the dynamics of the combinatorial model of the real line 论实线的组合动力学模型
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2022-09-05 DOI: 10.1080/14689367.2023.2193677
P. Chocano
{"title":"On the dynamics of the combinatorial model of the real line","authors":"P. Chocano","doi":"10.1080/14689367.2023.2193677","DOIUrl":"https://doi.org/10.1080/14689367.2023.2193677","url":null,"abstract":"We study dynamical systems defined on the combinatorial model of the real line. We prove that using single-valued maps there are no periodic points of period 3, which contrasts with the classical and less restrictive setting. Then, we use Vietoris-like multivalued maps to show that there is more flexibility, at least in terms of periods, in this combinatorial framework than in the usual one because we do not have the conditions about the existence of periods given by the Sharkovski Theorem.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":"38 1","pages":"395 - 404"},"PeriodicalIF":0.5,"publicationDate":"2022-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47980042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Boundedness of solutions for some impulsive pendulum-type equations 一些脉冲摆型方程解的有界性
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2022-08-11 DOI: 10.1080/14689367.2022.2111295
Lüping Chen
{"title":"Boundedness of solutions for some impulsive pendulum-type equations","authors":"Lüping Chen","doi":"10.1080/14689367.2022.2111295","DOIUrl":"https://doi.org/10.1080/14689367.2022.2111295","url":null,"abstract":"In the present paper, we study the following impulsive pendulum-type equation where , . Under suitable impulses, by Moser's twist theorem, we prove that any solution of the impulsive pendulum-type equation is bounded, and there are infinitely many quasi-periodic solutions for the impulsive pendulum-type equation.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":"37 1","pages":"684 - 698"},"PeriodicalIF":0.5,"publicationDate":"2022-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43965070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones 具有两个区域的平面分段多项式微分系统无穷远处的跨临界分岔
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2022-07-01 DOI: 10.1080/14689367.2022.2092454
Denis de Carvalho Braga, J. Llibre, Luis Fernando Mello
{"title":"Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones","authors":"Denis de Carvalho Braga, J. Llibre, Luis Fernando Mello","doi":"10.1080/14689367.2022.2092454","DOIUrl":"https://doi.org/10.1080/14689367.2022.2092454","url":null,"abstract":"We present a general mechanism of generation of limit cycles in planar piecewise polynomial differential systems with two zones by means of a transcritical bifurcation at infinity and from a global centre. This study justifies the existence of limit cycles that arise through the intersection of the separation boundary with the one that characterizes the global centre.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":"37 1","pages":"578 - 602"},"PeriodicalIF":0.5,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47946154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Thomae's function and the space of ergodic measures 托马函数与遍历测度空间
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2022-06-28 DOI: 10.1080/14689367.2023.2174000
A. Gorodetski, Alexandro Luna
{"title":"Thomae's function and the space of ergodic measures","authors":"A. Gorodetski, Alexandro Luna","doi":"10.1080/14689367.2023.2174000","DOIUrl":"https://doi.org/10.1080/14689367.2023.2174000","url":null,"abstract":"We study the space of ergodic measures of the map and show that its structure is similar to the graph of Thomae's function.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":"38 1","pages":"268 - 274"},"PeriodicalIF":0.5,"publicationDate":"2022-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47835218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Cramér distance and discretizations of circle expanding maps II: simulations 圆展开映射的Cramér距离和离散化Ⅱ：模拟
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2022-06-16 DOI: 10.1080/14689367.2023.2236036
Pierre-Antoine Guih'eneuf, M. Monge
{"title":"Cramér distance and discretizations of circle expanding maps II: simulations","authors":"Pierre-Antoine Guih'eneuf, M. Monge","doi":"10.1080/14689367.2023.2236036","DOIUrl":"https://doi.org/10.1080/14689367.2023.2236036","url":null,"abstract":"This paper presents some numerical experiments in relation with the theoretical study of the ergodic short-term behaviour of discretizations of expanding maps done in arXiv:2206.07991 [math.DS]. Our aim is to identify the phenomena driving the evolution of the Cram'er distance between the $t$-th iterate of Lebesgue measure by the dynamics $f$ and the $t$-th iterate of the uniform measure on the grid of order $N$ by the discretization on this grid. Based on numerical simulations we propose some conjectures on the effects of numerical truncation from the ergodic viewpoint.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42232744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 2
Unstable pressure of subsets for partially hyperbolic systems 部分双曲型系统子集的不稳定压力
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2022-06-06 DOI: 10.1080/14689367.2022.2086104
Lei Liu, Jinlei Jiao, Xiaoyao Zhou
{"title":"Unstable pressure of subsets for partially hyperbolic systems","authors":"Lei Liu, Jinlei Jiao, Xiaoyao Zhou","doi":"10.1080/14689367.2022.2086104","DOIUrl":"https://doi.org/10.1080/14689367.2022.2086104","url":null,"abstract":"In this paper, we introduce the Pesin–Pitskel unstable pressure to study dynamical complexity of general subsets in partially hyperbolic systems. We establish some basic results in dimension theory for Pesin–Pitskel unstable pressure, including a pressure distribution principle, and a variational principle for any compact (not necessarily invariant) subset between its Pesin–Pitskel unstable pressure and unstable metric pressure of probability measures supported on this set.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":"37 1","pages":"564 - 577"},"PeriodicalIF":0.5,"publicationDate":"2022-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41642458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
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