A (short) survey on Dominated Splitting

Abstract

We present here the concept of Dominated Splitting and give an account of some important results on its dynamics.

19 pages

References in corpus (3)

• Stably ergodic diffeomorphisms which are not partially hyperbolic
• Tangent bundles dynamics and its consequences
• Internal perturbations of homoclinic classes:non-domination, cycles, and self-replication

Cited by in corpus (2)

• Differences and similarities in the analysis of Lorenz, Chen, and Lu systems
• Formula of Entropy along Unstable Foliations for $C^1$ Diffeomorphisms with Dominated Splitting