dc.contributor.author
Delshams Valdés, Amadeu
dc.contributor.author
Gonchenko, Marina
dc.contributor.author
Gonchenko, Sergey
dc.contributor.author
Lázaro Ochoa, José Tomás
dc.date.issued
2023-03-02T10:48:12Z
dc.date.issued
2023-03-02T10:48:12Z
dc.date.issued
2023-03-02T10:48:12Z
dc.identifier
https://hdl.handle.net/2445/194449
dc.description.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.
dc.format
application/pdf
dc.publisher
American Institute of Mathematical Sciences (AIMS)
dc.relation
Versió postprint del document publicat a: https://doi.org/10.3934/dcds.2018196
dc.relation
Discrete and Continuous Dynamical Systems-Series A, 2018, vol. 38, num. 9, p. 4483-4507
dc.relation
https://doi.org/10.3934/dcds.2018196
dc.rights
(c) American Institute of Mathematical Sciences (AIMS), 2018
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Teoria de la bifurcació
dc.subject
Sistemes dinàmics diferenciables
dc.subject
Equacions diferencials ordinàries
dc.subject
Bifurcation theory
dc.subject
Differentiable dynamical systems
dc.subject
Ordinary differential equations
dc.title
Mixed dynamics of two-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
