Construction d'un difféomorphisme minimal d'entropie topologique non nulle

DOI10.1017/S0143385700001164zbMath0469.58008MaRDI QIDQ3923297

No author found.

Publication date: 1981

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

zbMATH Keywords

discrete cocompact subgroup of SL(2,R)minimal diffeomorphism with non- zero entropy

Mathematics Subject Classification ID

Ergodic theory (37A99) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (23)

Unique ergodicity for zero-entropy dynamical systems with the approximate product property ⋮ On some generalizations of skew-shifts on ⋮ Subshifts with leading sequences, uniformity of cocycles and spectra of Schreier graphs ⋮ The existence of semi-horseshoes for partially hyperbolic diffeomorphisms ⋮ Bohr chaoticity of topological dynamical systems ⋮ Positive measure sets of ergodic rational maps ⋮ Free actions of large groups on complex threefolds ⋮ Different asymptotic behavior versus same dynamical complexity: recurrence \& (ir)regularity ⋮ Some remarks on the dynamics of the almost Mathieu equation at critical coupling* ⋮ Continuous-time extensions of discrete-time cocycles ⋮ \(\mathcal{C}^{2}\) surface diffeomorphisms have symbolic extensions ⋮ Measures of intermediate entropies for star vector fields ⋮ Zero-entropy invariant measures for skew product diffeomorphisms ⋮ A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem ⋮ Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: the Denjoy–Rees technique ⋮ Topological entropy of piecewise bimonotone skew products ⋮ Ergodic measures of intermediate entropy for affine transformations of nilmanifolds ⋮ Conditions for equality between Lyapunov and Morse decompositions ⋮ Topological entropies of equivalent smooth flows ⋮ Diffeomorphisms with global dominated splittings cannot be minimal ⋮ Zero-entropy dynamical systems with the gluing orbit property ⋮ Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos ⋮ Lower bounds on entropy via the Conley index with application to time series

Cites Work

• Unnamed Item
• Ergodic theory of differentiable dynamical systems
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Flows on Homogeneous Spaces. (AM-53)
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

This page was built for publication: Construction d'un difféomorphisme minimal d'entropie topologique non nulle