Spectral Decomposition Theorem for non-hyperbolic maps

DOI10.1080/14689360802253333zbMath1153.37334OpenAlexW1963921422MaRDI QIDQ3543531

Piotr Oprocha

Publication date: 4 December 2008

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360802253333

zbMATH Keywords

transitivityspectral decompositionshadowingbasic set

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Related Items (3)

Shadowing, entropy and minimal subsystems ⋮ Weak mixing and product recurrence ⋮ A note on the average shadowing property for expansive maps

Cites Work

• Unnamed Item
• Equivalent conditions for hyperbolic coordinates
• Consequences of topological stability
• On Devaney's Definition of Chaos
• An Introduction to Symbolic Dynamics and Coding
• Differentiable dynamical systems
• Markov Partitions and Minimal Sets for Axiom A Diffeomorphisms

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