Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory

From MaRDI portal
Publication:2847197

DOI10.1090/S0002-9947-2013-05814-XzbMath1350.37061arXiv1209.3475MaRDI QIDQ2847197

Wenxian Shen, Janusz Mierczyński

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3475




Related Items (19)

Generic behavior of flows strongly monotone with respect to high-rank conesStochastic fixed points and nonlinear Perron–Frobenius theoremFormulas for generalized principal Lyapunov exponent for parabolic PDEsSpreading speeds and linear determinacy of time dependent diffusive cooperative/competitive systemsPrincipal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. III. parabolic equations and delay systemsOn the Oseledets-splitting for infinite-dimensional random dynamical systemsLyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equationsCharacterization of dominated splittings for operator cocycles acting on Banach spacesPrincipal Floquet subspaces and exponential separations of type II with applications to random delay differential equationsLyapunov exponents in a slow environmentThe principal Floquet bundle and the dynamics of fast diffusing communitiesEstimates for principal Lyapunov exponents: a surveyPrincipal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. II. Finite-dimensional systemsComputation of the Lyapunov exponents in the compass-gait model under OGY control via a hybrid Poincaré mapOn random linear dynamical systems in a Banach space. I: Multiplicative ergodic theorem and Krein-Rutman type theoremsExplicit bounds for separation between Oseledets subspacesAsymptotics for the second-largest Lyapunov exponent for some Perron–Frobenius operator cocyclesKrein–Rutman type property and exponential separation of a noncompact operator\(K\)-dimensional invariant cones of random dynamical systems in \(\mathbb{R}^n\) with applications



Cites Work


This page was built for publication: Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory