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Lyapunov Exponents for Infinite Dimensional Random Dynamical Systems in a Banach Space
Random Dynamical Systems Lyapunov Exponents
2015/4/3
Metric Dynamical System
Let be a probability space.
Let be a metric dynamical system:
(i)
(ii)
(iii) preserves th...
Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents
Multifractal analysis of some multiple ergodic averages non-constant Lyapunov exponents Dynamical Systems
2012/6/27
We study certain multiple ergodic averages of an iterated functions system generated by two contractions on the unit interval. By using the dynamical coding ${0,1}^{\mathbb{N}}$ of the attractor, we c...
Entropy, Lyapunov exponents and the volume growth of boundary distortion under the action of dynamical systems
Lyapunov exponents the volume growth of boundary distortion the action of dynamical systems
2012/4/17
We study the connection between the Lyapunov exponents and the volume growth of boundary distortion of regions in the phase space of the dynamical system.
Entropy, Lyapunov Exponents and Escape Rates in Open Systems
Lyapunov Exponents Escape Rates Open Systems Dynamical Systems
2011/9/5
Abstract: We study the relation between escape rates and pressure in general dynamical systems with holes, where pressure is defined to be the difference between entropy and the sum of positive Lyapun...
Continuity of Lyapunov Exponents for Random 2D Matrices
Continuity of Lyapunov Exponents Random 2D Matrices
2011/1/18
The Lyapunov exponents of locally constant GL(2, C)-cocycles over Bernoulli shifts depend continuously on the cocycle and on the invariant probability. The Oseledets decomposition also depends continu...
Computation of Lyapunov exponents for dynamical system with impact
Computation Lyapunov exponents dynamical system impact
2010/9/20
Computation of Lyapunov exponents for dynamical system with impact.
On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics
u-Gibbs states physical measures partially hyperbolic dynamics minimal foliations
2011/1/20
We show that each strongly partially hyperbolic C2 diffeomorphism, with one-dimensional subbundles and C2 smooth andminimal strong-unstable foliation, is C2 close to a diffeomorphism having non-zero c...
Estimating generalised Lyapunov exponents for products of random matrices
random matrices large-deviation regime fluid flows
2010/4/7
We discuss several techniques for the evaluation of the generalised Lyapunov exponents which characterise the growth of products of random matrices in the large-deviation regime. A Monte Carlo algorit...
Lyapunov exponents of convergent Cohen-Grossberg-type BAM networks with delays and large impulses
Neural networks Delays Impulses Homeomorphism
2010/9/13
The article is concerned with the exponential convergence of a Cohen- Grossberg-type BAM network, with time-varying and distributed transmission delays and large impulses, towards a unique equilibrium...
Analytic Lyapunov exponents in a classical nonlinear field equation
Analytic Lyapunov exponents classical nonlinear field equation
2010/11/2
It is shown that the nonlinear wave equation $\partial_t^2\phi - \partial^2_x \phi -\mu_0\partial_x(\partial_x\phi)^3 =0$, which is the continuum limit of the Fermi-Pasta-Ulam (FPU) beta model, has a...