SOME REMARKS ON THE GEOMETRY OF THE STANDARD MAP

DOI10.1142/S0218127409024025zbMath1176.37016arXiv0810.3122MaRDI QIDQ3649634

Katie Bloor, Stefano Luzzatto

Publication date: 4 December 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3122

zbMATH Keywords

standard maphyperbolic coordinates

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Partially hyperbolic systems and dominated splittings (37D30) Renormalization of holomorphic dynamical systems (37F25)

Related Items (3)

On stochastic sea of the standard map ⋮ Uniqueness of the measure of maximal entropy for the standard map ⋮ Oseledets' splitting of standard-like maps

Cites Work

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• The dynamics of the Hénon map
• Stable manifolds under very weak hyperbolicity conditions
• Some remarks on the problem of ergodicity of the standard map
• A model problem with the coexistence of stochastic and integrable behaviour
• A proof of the exponentially small transversality of the separatrices for the standard map
• Abundance of strange attractors
• Symplectic maps, variational principles, and transport
• Symbolic encoding in symplectic maps
• FROM ALMOST PERIODIC TO CHAOTIC: THE FUNDAMENTAL MAP
• Making fractals fat.

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