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Updated: Jul 29, 2026
12:21
Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
Published on: April 4, 2016
Stochastic multiresonance due to interplay between noise and fractals
S Matyjaśkiewicz1, A Krawiecki, J A Hołyst
1Faculty of Physics and Center of Excellence for Complex Systems Research, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland.
Summary
Stochastic multiresonance occurs in threshold-crossing systems where probability changes nonmonotonically with noise. This phenomenon, demonstrated in chaotic maps, relates to fractal structure overlap and spectral power amplification.
Area of Science:
- Nonlinear dynamics and complex systems
- Statistical physics and stochastic processes
Background:
- Stochastic resonance is a known phenomenon where noise enhances signal transmission.
- Threshold-crossing systems are fundamental in various scientific and engineering fields.
Purpose of the Study:
- To demonstrate stochastic multiresonance in a general class of threshold-crossing systems.
- To analyze the underlying mechanisms, specifically the role of fractal structures in chaotic systems.
Main Methods:
- Developing an analytic theory for stochastic multiresonance in threshold-crossing systems.
- Utilizing a two-dimensional chaotic map as a model system.
- Comparing theoretical predictions with numerical simulations for spectral power amplification.
Main Results:
- Stochastic multiresonance was observed in the general class of systems studied.
- The threshold-crossing probability was found to be a nonmonotonic function of noise intensity.
- Numerical results for spectral power amplification showed reasonable agreement with the analytic theory.
Conclusions:
- Stochastic multiresonance is a general phenomenon in threshold-crossing systems.
- The overlap of fractal structures in chaotic saddles and basins of escape is crucial for this phenomenon.
- The findings provide a theoretical framework and numerical validation for understanding noise-induced phenomena in complex systems.
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