×

zbMATH — the first resource for mathematics

Approximate trajectories and Lyapunov exponents for dynamical systems. (English) Zbl 0809.58023
It is a survey paper, where some recent results (due to the author) are presented without proofs, concerning the pseudo-trajectories of discrete dynamical systems, generated by homeomorphisms. In five theorems, the following problems are treated: shadowing and weak shadowing, approximate evaluation of Lyapunov exponents, and approximation of the shape of attractors.
Reviewer: J.Andres (Olomouc)
MSC:
37C75 Stability theory for smooth dynamical systems
37J40 Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol’d diffusion
PDF BibTeX XML Cite
Full Text: EuDML