Scarring in classical chaotic dynamics with noise
- URL: http://arxiv.org/abs/2101.08362v3
- Date: Wed, 21 Apr 2021 17:26:04 GMT
- Title: Scarring in classical chaotic dynamics with noise
- Authors: Domenico Lippolis, Akira Shudo, Kensuke Yoshida, Hajime Yoshino
- Abstract summary: scarring is enhancement of probability density around unstable periodic orbits of a chaotic system.
Scarring can be measured by studying autocorrelation functions and their power spectra.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We report the numerical observation of scarring, that is enhancement of
probability density around unstable periodic orbits of a chaotic system, in the
eigenfunctions of the classical Perron-Frobenius operator of noisy Anosov
("cat") maps, as well as in the noisy Bunimovich stadium. A parallel is drawn
between classical and quantum scars, based on the unitarity or non-unitarity of
the respective propagators. For uniformly hyperbolic systems such as the cat
map, we provide a mechanistic explanation for the classical phase-space
localization detected, based on the distribution of finite-time Lyapunov
exponents, and the interplay of noise with deterministic dynamics. Classical
scarring can be measured by studying autocorrelation functions and their power
spectra.
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