Homoclinic Bifurcations in Planar Piecewise-Linear Systems
نویسندگان
چکیده
منابع مشابه
Homoclinic Bifurcations in Reversible Systems
The thesis investigates bifurcations from homoclinic solutions of ordinary differential equations. Homoclinic solutions are characterised by approaching an equilibrium, i.e. a constant solution of a differential equation, in both positive and negative time. The thesis is devoted to the analysis of homoclinic bifurcations that originate from a change in the type of the associated equilibrium. Se...
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1. Introduction. We say that a one-parameter family of diffeomorphisms ip^: M — • M, p G R, has a homoclinic bifurcation, or a homoclinic tangency, for p = 0 if ipo has an orbit of nontransverse intersection of a stable and an unstable manifold, both of the same hyperbolic fixed point (or periodic point), which splits, for p > 0, into two orbits of transverse intersection of these stable and un...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2013
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2013/732321