Splitting of separatrices and symbolic dynamics for some degenerate standard-like maps

DOI10.1016/0167-2789(93)90110-MzbMath0774.39002OpenAlexW1974556167MaRDI QIDQ1803759

Yuri Borisovich Suris

Publication date: 29 June 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90110-m

zbMATH Keywords

symbolic dynamicschaotic setparabolic fixed pointssplitting of the separatrices

Mathematics Subject Classification ID

Additive difference equations (39A10) Low-dimensional dynamical systems (37E99)

Cites Work

• Unnamed Item
• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Central difference scheme and chaos
• Splitting of separatrices for the Chirikov standard map
• Splitting of separatrices for standard and semistandard mappings
• Invariant circles for the piecewise linear standard map
• Regular and stochastic motion
• Stable and Random Motions in Dynamical Systems
• Turbulence in Multistep Methods for Initial Value Problems

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