Invariant cones for non-smooth dynamical systems
✍ Scribed by Tassilo Küpper
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 243 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0378-4754
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📜 SIMILAR VOLUMES
We consider Gevrey-smooth perturbation of a completely integrable Gevrey-smooth Hamiltonian under Rüssmann's nondegeneracy condition, and obtain a family of invariant tori using an improved KAM iteration; they are Gevrey smooth in the sense of Whitney, with a Gevrey index depending on the Gevrey cla
This paper presents some new ideas to understand the strange attractor fragmentation caused by grazing in non-smooth dynamic systems. The sufficient and necessary conditions for grazing bifurcations in nonsmooth dynamic systems are presented. The initial sets of grazing mapping are introduced and th
In this paper we develop generalized Lyapunov and invariant set theorems for nonlinear dynamical systems wherein all regularity assumptions on the Lyapunov function and the system dynamics are removed. In particular, local and global stability theorems are given using lower semicontinuous Lyapunov f