Pub Date : 2024-09-16DOI: 10.1080/14689367.2024.2402720
Mai Oguchi, Mao Shinoda
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...
{"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}
Pub Date : 2024-08-28DOI: 10.1080/14689367.2024.2394672
A. O. Lopes, E. R. Oliveira
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...
我们用 M 表示符号空间 Ω={1,2⋯,m}N 上的博尔概率空间。M 具备 Monge-Kantorovich 度量。在此，我们将前推映射 T:M→M 视为一个动力系统。这...
{"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}
Pub Date : 2024-08-18DOI: 10.1080/14689367.2024.2391417
Maria Elisa Anacleto, Jaume Llibre, Claudia Valls, Claudio Vidal
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...
{"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}
Pub Date : 2024-08-14DOI: 10.1080/14689367.2024.2389548
Sangtae Jeong
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...
{"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}
Pub Date : 2024-07-16DOI: 10.1080/14689367.2024.2378297
Noah Cockram, Peter Ashwin, Ana Rodrigues
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 ...
{"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}
Pub Date : 2024-07-02DOI: 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}
Pub Date : 2024-05-29DOI: 10.1080/14689367.2024.2342083
Sarah Frick, Nicholas Ormes, Toni Dolph
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...
{"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}
Pub Date : 2024-05-29DOI: 10.1080/14689367.2024.2360204
Tran Van Thuy, Nguyen Thi Van, Pham Truong Xuan
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...
{"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}
Pub Date : 2024-05-29DOI: 10.1080/14689367.2024.2360208
Amal Mahjoub
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...
{"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}
Pub Date : 2024-05-17DOI: 10.1080/14689367.2024.2353623
Xiaoyi Chen, Guangfeng Dong
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...
在本文中，我们证明了一类具有直线切换线的平面片滑微分系统的Σ-中心的非同步性。
{"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}
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