Including homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systems

V. Carmona, F. Fernández-Sánchez and E. García-Medina

Applied Mathematics and Computation, 2017, vol. 296, issue C, 33-41

Abstract: Apart from being a complex task even in piecewise linear systems, the proof of the existence of homoclinic connections and T–point heteroclinic cycles must be usually carried out in separate ways because they are obviously different dynamical objects. Despite this, some features of the system may narrow the disparities between such global bifurcations and help us to look for alternative methods to analyze them.

Keywords: Piecewise linear systems; Homoclinic orbits; Heteroclinic orbits (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:296:y:2017:i:c:p:33-41

DOI: 10.1016/j.amc.2016.10.008

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