Volume preserving diffeomorphisms with orbital shadowing

DOI10.1186/1029-242X-2013-18zbMath1306.37029WikidataQ59294576 ScholiaQ59294576MaRDI QIDQ389158

Manseob Lee, Keon-Hee Lee

Publication date: 17 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

normal hyperbolicityhyperbolicshadowingAnosovorbital shadowing

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items

Orbital shadowing property for generic divergence-free vector fields ⋮ The barycenter property for robust and generic diffeomorphisms ⋮ Divergence-free vector fields with orbital shadowing ⋮ Unnamed Item ⋮ Hamiltonian systems with orbital, orbital inverse shadowing ⋮ Orbital shadowing property on chain transitive sets for generic diffeomorphisms ⋮ Orbital shadowing for \(C^1\)-generic volume-preserving diffeomorphisms ⋮ Asymptotic orbital shadowing property for diffeomorphisms

Cites Work

• Stability theorems and hyperbolicity in dynamical systems
• A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
• An ergodic closing lemma