Coherence resonance in chaotic systems
Departament de Física, Universitat de les Illes Balears
E-07071 Palma de Mallorca, Spain
2 Instituto Mediterráneo de Estudios Avanzados (IMEDEA), CSIC-UIB E-07071 Palma de Mallorca, Spain
Accepted: 4 August 2001
We show that it is possible for chaotic systems to display the main features of coherence resonance. In particular, we show that a Chua model, operating in a chaotic regime and in the presence of noise, can exhibit oscillations whose regularity is optimal for some intermediate value of the noise intensity. We find that the power spectrum of the signal develops a peak at finite frequency at intermediate values of the noise. These are all signatures of coherence resonance. We also experimentally study a Chua circuit and corroborate the above simulation results. Finally, we analyze a simple model composed of two separate limit cycles which still exhibits coherence resonance, and show that its behavior is qualitatively similar to that of the chaotic Chua system.
PACS: 05.40.Ca – Noise / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 05.45.Ac – Low-dimensional chaos
© EDP Sciences, 2001