Display options
Cite
Krawiecki A, Matyjaśkiewicz S, Kacperski K, et al. Noisefree stochastic multiresonance near chaotic crises. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;64(4):041104doi: 10.1103/PhysRevE.64.041104.
Krawiecki, A., Matyjaśkiewicz, S., Kacperski, K., & Hołyst, J. A. (2001). Noisefree stochastic multiresonance near chaotic crises. Physical review. E, Statistical, nonlinear, and soft matter physics, 64(4), 041104. https://doi.org/10.1103/PhysRevE.64.041104
Krawiecki, A, et al. "Noisefree stochastic multiresonance near chaotic crises." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 64,4 (2001): 041104. doi: https://doi.org/10.1103/PhysRevE.64.041104
Krawiecki A, Matyjaśkiewicz S, Kacperski K, Hołyst JA. Noisefree stochastic multiresonance near chaotic crises. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Oct;64(4):041104. doi: 10.1103/PhysRevE.64.041104. Epub 2001 Sep 21. PMID: 11690007.
Copy Download .nbib Format: NLM
Share it on

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Oct;64(4):041104. doi: 10.1103/PhysRevE.64.041104. Epub 2001 Sep 21.

Noisefree stochastic multiresonance near chaotic crises.

Physical review. E, Statistical, nonlinear, and soft matter physics

A Krawiecki, S Matyjaśkiewicz, K Kacperski, J A Hołyst

Affiliations

  1. Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland.

PMID: 11690007 DOI: 10.1103/PhysRevE.64.041104

Abstract

We report on the phenomenon of noisefree stochastic multiresonance that appears in a natural way in systems where the threshold crossing probability has a nonmonotonous derivative with respect to the control parameter. In particular, we consider periodically driven chaotic dynamical systems above crisis threshold where the nonmonotonicity is caused by the fractal structure of precritical attractors and, possibly, their basins of attraction. The spectral power amplification as a function of the control parameter can be easily obtained from the postcritical average transient times, and the heights of its multiple maxima can be estimated on the basis of simple geometric models.

Publication Types