Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist

DOI10.1007/978-3-030-13609-3_11zbMath1454.37043OpenAlexW2980714941MaRDI QIDQ5129775

Alain Chenciner

Publication date: 23 October 2020

Published in: Geometry in History (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-13609-3_11

zbMATH Keywords

normal formnormal hyperbolicityresonanceKAMtwist mapbifurcation of invariant curves

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical aspects of attractors and their bifurcations (37G35) Dynamical aspects of twist maps (37E40)

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Cites Work

• Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff
• Stable and Random Motions in Dynamical Systems
• On the Stability of Hill's Solutions of the Plane Restricted Three Body Problem
• Chenciner bubbles and torus break-up in a periodically forced delay differential equation
• Resonances for weak coupling of the unfolding of a saddle-node periodic orbit with an oscillator
• Small denominators. I. Mappings of the circumference onto itself
• Differentiable dynamical systems
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