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9 papers · 1 filter
Thermodynamics of chaotic relaxation processes
Domenico Lippolis
The established thermodynamic formalism of chaotic dynamics, valid at statistical equilibrium, is here generalized to systems out of equilibrium, that have yet to relax to a steady…
Chaotic fields out of equilibrium are observable independent
Domenico Lippolis
Chaotic dynamics is always characterized by swarms of unstable trajectories, unpredictable individually, and thus generally studied statistically. It is often the case that such ph…
Escape-rate response to noise of all amplitudes in leaky chaos
Makoto Ohshika, Domenico Lippolis, Akira Shudo
We study the effect of homogeneous noise on the escape rate of strongly chaotic area-preserving maps with a small opening. While in the noiseless dynamics the escape rate analytica…
Estimating the spectral density of unstable scars
Domenico Lippolis
In quantum chaos, the spectral statistics generally follows the predictions of Random Matrix Theory (RMT). A notable exception is given by scar states, that enhance probability den…
Eigenfunctions of the Perron-Frobenius operator and the finite-time Lyapunov exponents in uniformly hyperbolic area-preserving maps
Kensuke Yoshida, Hajime Yoshino, Akira Shudo +1
The subleading eigenvalues and associated eigenfunctions of the Perron-Frobenius operator for 2-dimensional area-preserving maps are numerically investigated. We closely examine th…
Scarring in classical chaotic dynamics with noise
Domenico Lippolis, Akira Shudo, Kensuke Yoshida +1
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 classi…