Diffeomorphisms which cannot be topologically conjugate to diffeomorphisms of a higher smoothness

DOI10.1017/S014338570900114XzbMath1221.37092MaRDI QIDQ3002602

Dmitry V. Turaev

Publication date: 20 May 2011

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

topological conjugacyunsmoothable diffeomorphisms

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Cites Work

• Smooth classification of one-dimensional diffeomorphisms with hyperbolic fixed points
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Moduli of stability of two-dimensional diffeomorphisms
• Unsmoothable diffeomorphisms
• Symbolic extensions and smooth dynamical systems
• Isomorphisms between diffeomorphism groups
• Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps
• Homoclinic tangencies of arbitrary order in Newhouse domains.

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