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Open Access item 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
E-ISSNmetadata.dc.identifier.doi = DOI:1079-7114
Appears in Collections:(IMEDEA) Artículos

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