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; FeedbackDOI: 10.1103/PhysRevLett.98.074104ImpactFactor: 6.944Citations: 32data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-24References taken from IsiWeb of Knowledge: (subscribers only)
