We deal with the singularly perturbed Nagumo-type equation where ε > 0 is a real parameter and a : R -> R is a piecewise constant function satisfying 0 < a(s) < 1 for all s. For small ε, we prove the existence of chaotic, homoclinic and heteroclinic solutions. We use a dynamical systems approach, based on the Stretching Along Paths technique and on the Conley–Wazewski's method.
Asymptotic and chaotic solutions of a singularly perturbed Nagumo-type equation
PAPINI, Duccio
2015-01-01
Abstract
We deal with the singularly perturbed Nagumo-type equation where ε > 0 is a real parameter and a : R -> R is a piecewise constant function satisfying 0 < a(s) < 1 for all s. For small ε, we prove the existence of chaotic, homoclinic and heteroclinic solutions. We use a dynamical systems approach, based on the Stretching Along Paths technique and on the Conley–Wazewski's method.File in questo prodotto:
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