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

Year: 2007

Authors: Marino F., Marin F., Balle S., Piro O.

Autors Affiliation: Univ Florence, Ist Nazl Fis Nucl, Dipartmento Fis, Sez Firenze, I-50019 Sesto Fiorentino, FI, Italy; LENS, I-50019 Sesto Fiorentino, FI, Italy; Univ Illes Balears, CSIC, Inst Mediterrani Estudis Avancats, E-07071 Palma de Mallorca, Spain; Rockefeller Univ, Ctr Studies Phys & Biol, New York, NY 10021 USA.

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.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 98 (7)      Pages from: 74104-1  to: 74104-4

KeyWords: Gravitational-wave Detectors; Oscillations; Feedback
DOI: 10.1103/PhysRevLett.98.074104

Citations: 32
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