Spectral decomposition for rescaling expansive flows with rescaled shadowing

DOI10.3934/dcds.2020113zbMath1440.37030OpenAlexW3003823058MaRDI QIDQ1988312

Yinong Yang, Woochul Jung, Ngoc-Thach Nguyen

Publication date: 16 April 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020113

zbMATH Keywords

spectral decompositionrescaled expansivenessrescaled shadowing property

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items

Stability properties of singular suspension flows, Flows with the weak two-sided limit shadowing property

Cites Work

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• On specification and measure expansiveness
• On homeomorphisms with pseudo-orbit tracing property
• One-parameter flows with the pseudo-orbit tracing property
• Topological stability and spectral decomposition for homeomorphisms on noncompact spaces
• Rescaled expansivity and separating flows
• Chain recurrence, semiflows, and gradients
• Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces
• Expansive one-parameter flows
• Singular-hyperbolic attractors are chaotic
• Explosions in Completely Unstable Flows. I Preventing Explosions
• A rescaled expansiveness for flows
• Differentiable dynamical systems