2000/07/31 by Carlos Palenzuela, C. Palenzuela, Raúl Toral +5 · 2 citations
Mathematics · Physics and Astronomy · #Artificial intelligence #Chaos control and synchronization #Chaotic #Coherence (philosophical gambling strategy) #Computer science #Control theory (sociology) #Limit (mathematics) #Mathematical analysis #Mathematics #Noise (video) #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Resonance (particle physics) #SIGNAL (programming language) #Spectral density #Statistical physics #Stochastic resonance #Telecommunications #cond-mat #stochastic dynamics and bifurcation
paper · pdf · doi:10.1209/epl/i2001-00526-5
4 pages (including 4 figures) LaTeX file
arxiv created 2000/12/15 · openalex publication_date 2001/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.