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An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems
(IOP PUBLISHING LTD, 2008)
We study and compare the information loss of a large class of Gaussian bipartite systems. It includes the usual Caldeira-Leggett-type model as well as Anosov models ( parametric oscillators, the inverted oscillator ...
Central Lyapunov exponent of partially hyperbolic diffeomorphisms of ’T POT.3’
(American Mathematical Society - AMSProvidence, 2014-09)
In this paper we construct some "pathological'' volume preserving partially hyperbolic diffeomorphisms on 'T POT.3' such that their behavior in small scales in the central direction (Lyapunov exponent) is opposite to the ...
Carleman embedding and Lyapunov exponents
(Journal of Mathematical Physics, 1982)
We investigate the solutions of those autonomous systems with quadratic nonlinearities in a Ndimensional
vector space together with the solutions of their first variational equation systems by
means of the Carleman embedding. ...
Application of linear stability via Lyapunov exponents in high dimensional electrical power systems
(Elsevier, 2015)
Applications of linear stability via Lyapunov exponents in high dimensional test systems are presented.
The stochastic disturbance model is given by a bounded Markov diffusion process, as it appears in the
description ...
Positivity of the top lyapunov exponent for cocycles on semisimple lie groups over hyperbolic bases
(2018)
A theorem of Viana says that almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. In this note we extend this result to cocycles on any noncompact classical semisimple Lie group. Keywords. ...
Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis
(2018-12-01)
The dynamics of an ensemble of non-interacting particles suffering elastic collisions inside a driven stadium-like billiard is investigated through a four-dimensional nonlinear mapping. The system presents a resonance ...
Time Recurrence Analysis of a Near Singular Billiard
(Mdpi, 2019-06-01)
Billiards exhibit rich dynamical behavior, typical of Hamiltonian systems. In the present study, we investigate the classical dynamics of particles in the eccentric annular billiard, which has a mixed phase space, in the ...