A shadowing lemma for quasi-hyperbolic strings of flows

DOI10.1016/j.jde.2017.08.065zbMath1385.37030OpenAlexW2755441494WikidataQ124839337 ScholiaQ124839337MaRDI QIDQ2410302

Bo Han, Xiao Wen

Publication date: 17 October 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.08.065

zbMATH Keywords

shadowing propertydominated splittingquasi-hyperbolic stringlinear Poincaré flowsectional Poincaré map

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Periodic orbits of vector fields and flows (37C27) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

Robustly shadowable chain transitive sets and hyperbolicity ⋮ Quasi-shadowing for partially hyperbolic flows with a local product structure ⋮ Ergodic optimization for hyperbolic flows and Lorenz attractors ⋮ A rescaled expansiveness for flows ⋮ Quasi-shadowing for partially hyperbolic flows ⋮ Quasi-shadowing and limit quasi-shadowing for quasi-partially hyperbolic strings of flows

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