Repositori institucional URV
| URV's Author/s: | Garijo Real, Antonio |
| Author, as appears in the article.: | Fontich, Ernest; Garijo, Antonio; Jarque, Xavier |
| Author's mail: | antonio.garijo@urv.cat |
| Author identifier: | 0000-0002-1503-7514 |
| Journal publication year: | 2024 |
| Publication Type: | Journal Publications |
| APA: | Fontich, Ernest; Garijo, Antonio; Jarque, Xavier (2024). Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-transversal Intersections for a Non-global Smooth Diffeomorphism. Journal Of Nonlinear Science, 34(6), 102-. DOI: 10.1007/s00332-024-10079-7 |
| Papper original source: | Journal Of Nonlinear Science. 34 (6): 102- |
| Abstract: | In this paper, we give analytic proofs of the existence of transversal homoclinic points for a family of non-globally smooth diffeomorphisms having the origin as a fixed point which come out as a truncated map governing the local dynamics near a critical period three-cycle associated with the Secant map. Using Moser's version of Birkhoff-Smale's theorem, we prove that the boundary of the basin of attraction of the origin contains a Cantor-like invariant subset such that the restricted dynamics to it is conjugate to the full shift of N-symbols for any integer N >= 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$N\ge 2$$\end{document} or infinity. |
| Article's DOI: | 10.1007/s00332-024-10079-7 |
| Link to the original source: | https://link.springer.com/article/10.1007/s00332-024-10079-7 |
| Papper version: | info:eu-repo/semantics/publishedVersion |
| licence for use: | https://creativecommons.org/licenses/by/3.0/es/ |
| Department: | Enginyeria Informàtica i Matemàtiques |
| Licence document URL: | https://repositori.urv.cat/ca/proteccio-de-dades/ |
| Thematic Areas: | Physics, mathematical Modeling and simulation Mechanics Mathematics, applied Matemática / probabilidade e estatística General engineering Engineering (miscellaneous) Engineering (all) Applied mathematics |
| Keywords: | Symbolic dynamic Stable and unstable manifold Secant map Periodic points Homoclinic connection Basin of attraction |
| Funding program: | Herramientas para el análisis de diagramas de bifurcación en sistemas dinámicos |
| Funding program action: | Proyectos I+D Generación de Conocimiento |
| Acronym: | ATBiD |
| Project code: | PID2020-118281GB-C33 |
| Entity: | Universitat Rovira i Virgili |
| Record's date: | 2024-09-28 |
| Search your record at: |   |
| File | Description | Format | |
|---|---|---|---|
| DocumentPrincipal | DocumentPrincipal | application/pdf |
© 2011 Universitat Rovira i Virgili