We introduce a new class of excitable systems with two-dimensional fast dynamics that includes inertia. A novel transition from excitability to relaxation oscillations is discovered where the usual Hopf bifurcation is followed by a cascade of period doubled and chaotic small excitable attractors and, as they grow, by a new type of canard explosion where a small chaotic background erratically but deterministically triggers excitable spikes. This scenario is also found in a model for a nonlinear Fabry-Perot cavity with one pendular mirror.

Chaotically spiking canards in an excitable system with 2D inertial fast manifolds / F. MARINO; F. MARIN; S. BALLE; O. PIRO. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 98:(2007), pp. 074104-1-074104-4.

Chaotically spiking canards in an excitable system with 2D inertial fast manifolds

MARIN, FRANCESCO;
2007

Abstract

We introduce a new class of excitable systems with two-dimensional fast dynamics that includes inertia. A novel transition from excitability to relaxation oscillations is discovered where the usual Hopf bifurcation is followed by a cascade of period doubled and chaotic small excitable attractors and, as they grow, by a new type of canard explosion where a small chaotic background erratically but deterministically triggers excitable spikes. This scenario is also found in a model for a nonlinear Fabry-Perot cavity with one pendular mirror.
2007
98
074104-1
074104-4
F. MARINO; F. MARIN; S. BALLE; O. PIRO
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/254235
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