Moduli of surface diffeomorphisms with cubic tangencies

DOI10.3836/TJM/1502179278zbMath1446.58007arXiv1804.08400OpenAlexW2787223367MaRDI QIDQ2186054

Shinobu Hashimoto

Publication date: 9 June 2020

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08400

zbMATH Keywords

diffeomorphismmodulicubic tangency

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (1)

Moduli of 3-dimensional diffeomorphisms with saddle-foci

Cites Work

• Moduli of stability of two-dimensional diffeomorphisms
• Existence of generic cubic homoclinic tangencies for Hénon maps
• Homoclinic tangencies: moduli and topology of separatrices
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Persistent antimonotonic bifurcations and strange attractors for cubic homoclinic tangencies
• Diffeomorphisms on surfaces with a finite number of moduli
• Homoclinic points and moduli
• On 2-diffeomorphisms with one-dimensional basic sets and a finite number of moduli
• Antimonotonicity: Concurrent creation and annihilation of periodic orbits
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