Renormalization and destruction of 1/γ2 tori in the standard nontwist map
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Publication:5706357
DOI10.1063/1.1555472zbMath1080.37556arXivnlin/0210068OpenAlexW2009793714WikidataQ73458505 ScholiaQ73458505MaRDI QIDQ5706357
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Publication date: 7 November 2005
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0210068
Low-dimensional dynamical systems (37E99) Universality and renormalization of dynamical systems (37E20)
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Cites Work
- The birth process of periodic orbits in non-twist maps
- A renormalization approach to invariant circles in area-preserving maps
- How a swing behaves
- A rigorous partial justification of Greene's criterion
- Critical Behavior of a KAM surface. I: Empirical results
- Invariant curves of analytic perturbed nontwist area preserving maps
- Nonmonotonic twist maps
- Renormalization-group analysis for the transition to chaos in Hamiltonian systems
- Renormalization and periodic orbits for Hamiltonian flows
- Area preserving nontwist maps: Periodic orbits and transition to chaos
- Renormalization and transition to chaos in area preserving nontwist maps
- Greene's residue criterion
- Chaotic transport by Rossby waves in shear flow
- A renormalization group for Hamiltonians, with applications to KAM tori
- KAM Theory and a Partial Justification of Greene's Criterion for Nontwist Maps
- Generic twistless bifurcations
- NONTWIST AREA PRESERVING MAPS WITH REVERSING SYMMETRY GROUP
