Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/194449| Title: | Mixed dynamics of two-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies |
| Author: | Delshams Valdés, Amadeu Gonchenko, Marina Gonchenko, Sergey Lázaro Ochoa, José Tomás |
| Keywords: | Teoria de la bifurcació Sistemes dinàmics diferenciables Equacions diferencials ordinàries Bifurcation theory Differentiable dynamical systems Ordinary differential equations |
| Issue Date: | Aug-2018 |
| Publisher: | American Institute of Mathematical Sciences (AIMS) |
| Abstract: | We study dynamics and bifurcations of 2-dimensional reversible maps having a symmetric saddle fixed point with an asymmetric pair of nontransversal homoclinic orbits (a symmetric nontransversal homoclinic figure-8). We consider one-parameter families of reversible maps unfolding the initial homoclinic tangency and prove the existence of infinitely many sequences (cascades) of bifurcations related to the birth of asymptotically stable, unstable and elliptic periodic orbits. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.3934/dcds.2018196 |
| It is part of: | Discrete and Continuous Dynamical Systems-Series A, 2018, vol. 38, num. 9, p. 4483-4507 |
| URI: | http://hdl.handle.net/2445/194449 |
| Related resource: | https://doi.org/10.3934/dcds.2018196 |
| ISSN: | 1078-0947 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 730971.pdf | 580.78 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.