Generic homeomorphisms do not have the Lipschitz shadowing property

DOI10.1007/BF02675086zbMath0970.37019MaRDI QIDQ1569793

O. B. Plamenevskaya

Publication date: 1 April 2001

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

generic homeomorphismweak shadowingdynamical systems on smooth manifoldsLipshitz shadowing

Mathematics Subject Classification ID

Topological dynamics (37B99) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Cites Work

• The space of dynamical systems with the \(C^ 0\)-topology
• Shadowing is generic
• Approximate and real trajectories for generic dynamical systems

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