Heteroclinic orbits in singular systems: A unifying approach |
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Authors: | Flaviano Battelli |
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Institution: | (1) Istituto di Biomatematica, Universitá, Via Saffi 1, 61029 Urbino, Italy |
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Abstract: | We consider singularly perturbed systems
, such that=f(, o, 0). o
m
, has a heteroclinic orbitu(t). We construct a bifurcation functionG(, ) such that the singular system has a heteroclinic orbit if and only ifG(, )=0 has a solution=(). We also apply this result to recover some theorems that have been proved using different approaches. |
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Keywords: | Exponential dichotomies heteroclinic orbits singular perturbations |
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