scientific article; zbMATH DE number 7444184

zbMath1485.37038MaRDI QIDQ5016526

Kiyotaka Tanikawa, Yoshihiro Yamaguchi

Publication date: 13 December 2021

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

transversalitystandard mapstable and unstable manifoldsdominant and subdominant axesUshiki's theorem

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Invariant manifold theory for dynamical systems (37D10) Stability theory for smooth dynamical systems (37C75) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Cites Work

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• Splitting of separatrices for standard and semistandard mappings
• Running Homoclinic and Periodic Points in Standard-Like Mappings
• Non-existence of invariant circles
• Non-Birkhoff Periodic Orbits of Farey Type and Dynamical Ordering in the Standard Mapping

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