We construct a theory-based numerical method for starting the continuation of homoclinic tangencies near 1 : 1 resonances, for systems with arbitrary ...

Starting Homoclinic Tangencies Near 1 : 1 Resonances 3161. Fig. 1. Local bifurcation diagram of system (7). and T2 system (7) exhibits a transversal homoclinic.

In this setting, we have a free parameter (α1 or α2) for the continuation of a curve of tangential homoclinic orbits. Main Question: How to find a first ...

In this presentation we construct a theory-based numerical method for starting the continuation of homoclinic tangencies near 1: 1 resonances, for systems with ...

We construct a theory-based numerical method for starting the continuation of homoclinic tangencies near 1 : 1 resonances, for systems with arbitrary dimension ...

This paper considers an unfolding of a degenerate reversible 1–1 resonance (or Hamiltonian–Hopf) bifurcation for four-dimensional systems of time reversible ...

Starting homoclinic Tangencies Near 1 : 1 resonances ... It is proved that the discretized codimension one curves intersect at the singularities in a generic ...

It is known that in the Bogdanov-Takens map there exists a zone of transversal ho- moclinic intersections bounded by two curves of homoclinic tangencies.

Apr 10, 2017 · on parameters near 1:1 resonance. A similar program can be carried out for Hamiltonian systems in 1:1 resonance which are also reversible ...

Jun 17, 2022 · We show this phenomenon has a relatively high codimension requiring a homoclinic tangency and `global resonance', as has been described ...