Perturbed Homoclinic Solutions in Reversible 1:1 Resonance Vector Fields
نویسندگان
چکیده
منابع مشابه
Dynamics of Non-autonomously Perturbed Homoclinic Solutions
This research announcement is about the dynamics of non-autonomously perturbed homoclinic solutions. Results reported in this article come in four groups. The first group is on a Melnikov-like method for non-autonomous equations that are not timeperiodic; the second group is on the overall dynamical structures of homoclinic tangles formed by the intersections of the stable and unstable manifold...
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The bifurcation of double-pulse homoclinic orbits under parameter perturbation is analysed for reversible systems having a homoclinic solution that is biasymptotic to a saddle-centre equilibrium. This is a non-hyperbolic equilibrium with two real and two purely imaginary eigenvalues. Reversibility enforces that small perturbations will not change this eigenvalue connguration. It is found that (...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1993
ISSN: 0022-0396
DOI: 10.1006/jdeq.1993.1022