BISHADOWING AND HYPERBOLICITY

DOI10.1142/S0218127402005455zbMath1043.37017WikidataQ125266447 ScholiaQ125266447MaRDI QIDQ4736263

Ying Hao Han, Phil Diamond, Keon-Hee Lee

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

stablehyperbolicitystructurally stabilityshadowinginverse shadowingBishadowing

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Stability theory for smooth dynamical systems (37C75)

Related Items

Inverse shadowing of circle maps ⋮ Volume-preserving diffeomorphisms with inverse shadowing ⋮ C²-stably inverse shadowing diffeomorphisms ⋮ Inverse shadowing for structurally stable flows ⋮ Characterisations of Ω-stability and structural stability via inverse shadowing

Cites Work

• Shadowing in dynamical systems
• Shadowing is generic
• Approximate and real trajectories for generic dynamical systems
• Filtrations, Decompositions, and Explosions
• Hyperbolic manifolds with the strongly shadowing property
• Finite precision representation of the Conley decomposition

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