Resonances and Twist in Volume-Preserving Mappings
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Publication:5388663
DOI10.1137/110846865zbMath1235.37017arXiv1003.0922OpenAlexW3102722836MaRDI QIDQ5388663
Holger R. Dullin, James D. Meiss
Publication date: 19 April 2012
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.0922
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)
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A KAM theorem for lower dimensional elliptic invariant tori of nearly integrable symplectic mappings ⋮ Resonance phenomena in a time-dependent, three-dimensional model of an idealized eddy ⋮ Some questions looking for answers in dynamical systems ⋮ Greene's residue criterion for the breakup of invariant tori of volume-preserving maps ⋮ The destruction of tori in volume-preserving maps ⋮ Diffusion and drift in volume-preserving maps ⋮ Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings ⋮ A KAM theorem for a class of nearly integrable symplectic mappings ⋮ Computing the Conjugacy of Invariant Tori for Volume-Preserving Maps ⋮ Existence of periodically invariant tori on resonant surfaces for twist mappings ⋮ Existence of invariant curves for area-preserving mappings under weaker non-degeneracy conditions ⋮ Birkhoff averages and the breakdown of invariant tori in volume-preserving maps ⋮ Barriers to transport and mixing in volume-preserving maps with nonzero flux
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