Twist singularities for symplectic maps
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Publication:5706337
DOI10.1063/1.1529450zbMath1080.37574OpenAlexW2153218321MaRDI QIDQ5706337
Holger R. Dullin, James D. Meiss
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://semanticscholar.org/paper/7915cfb27ff3894ac0c62947f7b4fe4f19fe9c21
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Related Items (8)
Efficient and reliable algorithms for the computation of non-twist invariant circles ⋮ Elliptic Bubbles in Moser's 4D Quadratic Map: The Quadfurcation ⋮ Vanishing twist in the Hamiltonian Hopf bifurcation ⋮ Normal forms for 4D symplectic maps with twist singularities ⋮ Global structure of regular tori in a generic 4D symplectic map ⋮ Unnamed Item ⋮ Generalized Synchronization of Nuclear Spin Generator System and the Application in Secure Communication ⋮ Another look at the saddle-centre bifurcation: vanishing twist.
Cites Work
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- Renormalization and transition to chaos in area preserving nontwist maps
- Generic bifurcations of the twist coefficient
- Symplectic maps, variational principles, and transport
- KAM Theory and a Partial Justification of Greene's Criterion for Nontwist Maps
- Stability of equilibria and fixed points of conservative systems
- Generic twistless bifurcations
- Average exit time for volume-preserving maps
- Numerical study of quadratic area-preserving mappings
- Degenerate resonances in Hamiltonian systems with 3/2 degrees of freedom
- On the investigation of degenerate resonances.
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