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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/47168
Title: Chaotically spiking canards in an excitable system with 2D inertial fast manifolds
Authors: Marino, Francesco; Marin, Francesco; Balle, Salvador ; Piro, Oreste
Issue Date: 13-Feb-2007
Publisher: American Physical Society
Citation: Physical Review Letters 98: 074104 (1-4) (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.
Description: PACS:05.45.−a, 42.65.−k, 42.65.Sf
Publisher version (URL): http://dx.doi.org/10.1103/PhysRevLett.98.074104
URI: http://hdl.handle.net/10261/47168
DOI: 10.1103/PhysRevLett.98.074104
ISSN: 0031-0182
E-ISSN: 1079-7114
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