Lyapunov exponents for Hamiltonian systems under small Lévy-type perturbations.
Chaos
; 31(8): 081101, 2021 Aug.
Article
in En
| MEDLINE
| ID: mdl-34470235
ABSTRACT
This work is to investigate the (top) Lyapunov exponent for a class of Hamiltonian systems under small non-Gaussian Lévy-type noise with bounded jumps. In a suitable moving frame, the linearization of such a system can be regarded as a small perturbation of a nilpotent linear system. The Lyapunov exponent is then estimated by taking a Pinsky-Wihstutz transformation and applying the Khas'minskii formula, under appropriate assumptions on smoothness, ergodicity, and integrability. Finally, two examples are presented to illustrate our results.
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Language:
En
Journal:
Chaos
Journal subject:
CIENCIA
Year:
2021
Document type:
Article