A simple reconnecting map
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Publication:1760046
DOI10.1134/S1560354712050048zbMath1279.37021MaRDI QIDQ1760046
Albert D. Morozov, James E. Howard
Publication date: 12 November 2012
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Bifurcation theory for ordinary differential equations (34C23) Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Rotation numbers and vectors (37E45)
Related Items (4)
Degenerate resonances and synchronization of quasiperiodic oscillations ⋮ Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation ⋮ On bifurcations in degenerate resonance zones ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations
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- Regularity of critical invariant circles of the standard nontwist map
- Breakup of shearless meanders and “outer” tori in the standard nontwist map
- Chaotic transport by Rossby waves in shear flow
- Generic twistless bifurcations
- Separatrix reconnection and periodic orbit annihilation in the Harper map
- Degenerate resonances in Hamiltonian systems with 3/2 degrees of freedom
- Renormalization and destruction of 1/γ2 tori in the standard nontwist map
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