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Hausdorff dimension of the parameters for (α,β)-shifts with the specification property 具有规格特性的 (α,β) 移位参数的豪斯多夫维度
Dynamical Systems Pub Date : 2024-09-16 DOI: 10.1080/14689367.2024.2402720
Mai Oguchi, Mao Shinoda
{"title":"Hausdorff dimension of the parameters for (α,β)-shifts with the specification property","authors":"Mai Oguchi, Mao Shinoda","doi":"10.1080/14689367.2024.2402720","DOIUrl":"https://doi.org/10.1080/14689367.2024.2402720","url":null,"abstract":"In this paper, we consider the specification property for (α,β)-shifts. When α=0, Schmeling shows that the set of β>1 for which the β-shift has the specification property has the Lebesgue measure z...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"55 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258370","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
Level-2 IFS thermodynamic formalism: Gibbs probabilities in the space of probabilities and the push-forward map 二级 IFS 热力学形式主义：概率空间中的吉布斯概率和前推图谱
Dynamical Systems Pub Date : 2024-08-28 DOI: 10.1080/14689367.2024.2394672
A. O. Lopes, E. R. Oliveira
{"title":"Level-2 IFS thermodynamic formalism: Gibbs probabilities in the space of probabilities and the push-forward map","authors":"A. O. Lopes, E. R. Oliveira","doi":"10.1080/14689367.2024.2394672","DOIUrl":"https://doi.org/10.1080/14689367.2024.2394672","url":null,"abstract":"We will denote by M the space of Borel probabilities on the symbolic space Ω={1,2⋯,m}N. M is equipped Monge–Kantorovich metric. We consider here the push-forward map T:M→M as a dynamical system. Th...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258369","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
On the crossing limit cycles created by a discontinuous piecewise differential system formed by three linear Hamiltonian saddles 论由三个线性哈密顿鞍构成的不连续片断微分系统所产生的交叉极限循环
Dynamical Systems Pub Date : 2024-08-18 DOI: 10.1080/14689367.2024.2391417
Maria Elisa Anacleto, Jaume Llibre, Claudia Valls, Claudio Vidal
{"title":"On the crossing limit cycles created by a discontinuous piecewise differential system formed by three linear Hamiltonian saddles","authors":"Maria Elisa Anacleto, Jaume Llibre, Claudia Valls, Claudio Vidal","doi":"10.1080/14689367.2024.2391417","DOIUrl":"https://doi.org/10.1080/14689367.2024.2391417","url":null,"abstract":"We study planar discontinuous piecewise differential systems formed by three linear Hamiltonian saddles separated by the non-regular line Σ={(x,y)∈R2:(y=0)∨(x=0∧y≥0)}. We prove that when the linear...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"59 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142214834","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
Metrical properties of beta-transformations on power series rings 幂级数环上 beta 变换的计量特性
Dynamical Systems Pub Date : 2024-08-14 DOI: 10.1080/14689367.2024.2389548
Sangtae Jeong
{"title":"Metrical properties of beta-transformations on power series rings","authors":"Sangtae Jeong","doi":"10.1080/14689367.2024.2389548","DOIUrl":"https://doi.org/10.1080/14689367.2024.2389548","url":null,"abstract":"Let A∞ be an integer ring of a formal Laurent series field in one variable 1t over a finite field of order q, with a maximal ideal M∞. Then, we introduce beta-transformations Uβ on A∞ that are topo...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142214835","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
Renormalization of translated cone exchange transformations 翻译锥交换变换的重正化
Dynamical Systems Pub Date : 2024-07-16 DOI: 10.1080/14689367.2024.2378297
Noah Cockram, Peter Ashwin, Ana Rodrigues
{"title":"Renormalization of translated cone exchange transformations","authors":"Noah Cockram, Peter Ashwin, Ana Rodrigues","doi":"10.1080/14689367.2024.2378297","DOIUrl":"https://doi.org/10.1080/14689367.2024.2378297","url":null,"abstract":"In this paper, we investigate a class of non-invertible piecewise isometries on the upper half-plane known as Translated Cone Exchanges. These maps include a simple interval exchange on a boundary ...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141779244","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
Past attractors for topological cocycles with Ore's conditions 具有奥尔条件的拓扑环的过去吸引子
Dynamical Systems Pub Date : 2024-07-02 DOI: 10.1080/14689367.2024.2369528
Pedro F. S. Othechar, Josiney A. Souza
{"title":"Past attractors for topological cocycles with Ore's conditions","authors":"Pedro F. S. Othechar, Josiney A. Souza","doi":"10.1080/14689367.2024.2369528","DOIUrl":"https://doi.org/10.1080/14689367.2024.2369528","url":null,"abstract":"","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"65 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141688416","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
Adic dynamics on the Catalan graph 加泰罗尼亚图上的阿迪克动力学
Dynamical Systems Pub Date : 2024-05-29 DOI: 10.1080/14689367.2024.2342083
Sarah Frick, Nicholas Ormes, Toni Dolph
{"title":"Adic dynamics on the Catalan graph","authors":"Sarah Frick, Nicholas Ormes, Toni Dolph","doi":"10.1080/14689367.2024.2342083","DOIUrl":"https://doi.org/10.1080/14689367.2024.2342083","url":null,"abstract":"In this paper, we study the dynamics of the adic map on the Catalan graph. The Catalan graph is formed by taking the right half of the well-studied Pascal graph, and the Catalan numbers arise as pa...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141257555","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
On asymptotically almost periodic solutions of the parabolic-elliptic Keller-Segel system on real hyperbolic manifolds 关于实双曲流形上抛物-椭圆凯勒-西格尔系统的渐近近周期解
Dynamical Systems Pub Date : 2024-05-29 DOI: 10.1080/14689367.2024.2360204
Tran Van Thuy, Nguyen Thi Van, Pham Truong Xuan
{"title":"On asymptotically almost periodic solutions of the parabolic-elliptic Keller-Segel system on real hyperbolic manifolds","authors":"Tran Van Thuy, Nguyen Thi Van, Pham Truong Xuan","doi":"10.1080/14689367.2024.2360204","DOIUrl":"https://doi.org/10.1080/14689367.2024.2360204","url":null,"abstract":"In this article, we investigate the existence, uniqueness and exponential decay of asymptotically almost periodic solutions of the parabolic-elliptic Keller-Segel system on a real hyperbolic manifo...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"71 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141257424","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
The relative multifractal analysis of a vector function in a metric space 度量空间中矢量函数的相对多分形分析
Dynamical Systems Pub Date : 2024-05-29 DOI: 10.1080/14689367.2024.2360208
Amal Mahjoub
{"title":"The relative multifractal analysis of a vector function in a metric space","authors":"Amal Mahjoub","doi":"10.1080/14689367.2024.2360208","DOIUrl":"https://doi.org/10.1080/14689367.2024.2360208","url":null,"abstract":"Scale invariance is a widely used concept for analysing real data from many different applications, and multifractal analysis has become the standard and powerful tool in signal processing. It char...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507582","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
Non-isochronicity on piecewise Hamiltonian differential systems with homogeneous nonlinearities 具有同质非线性的片状哈密顿微分系统的非等时性
Dynamical Systems Pub Date : 2024-05-17 DOI: 10.1080/14689367.2024.2353623
Xiaoyi Chen, Guangfeng Dong
{"title":"Non-isochronicity on piecewise Hamiltonian differential systems with homogeneous nonlinearities","authors":"Xiaoyi Chen, Guangfeng Dong","doi":"10.1080/14689367.2024.2353623","DOIUrl":"https://doi.org/10.1080/14689367.2024.2353623","url":null,"abstract":"In this paper, we prove the non-isochronicity of Σ-centres for a class of planar piecewise smooth differential systems with a straight switching line, whose two sub-systems are Hamiltonian differen...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141151737","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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