Scarring in classical chaotic dynamics with noise

We report the numerical observation of scarring, that is enhancement probability density around unstable periodic orbits a chaotic system, in eigenfunctions classical Perron-Frobenius operator noisy Anosov ("cat") maps, as well Bunimovich stadium. A parallel drawn between and quantum scars, based on unitarity or non-unitarity respective propagators. For uniformly hyperbolic systems such cat map, we provide mechanistic explanation for phase-space localization detected, distribution finite-time Lyapunov exponents, interplay noise with deterministic dynamics. Classical scarring can be measured by studying autocorrelation functions their power spectra.