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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
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
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ISSN: 0031-0182
???metadata.dc.identifier.doi???: 10.1103/PhysRevLett.98.074104
Citation: Physical Review Letters 98: 074104 (1-4) (2007)
Appears in Collections:(IMEDEA) Artículos
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