Nonmonotonic twist maps
From MaRDI portal
Publication:1343021
DOI10.1016/0167-2789(94)00180-XzbMath0888.58055MaRDI QIDQ1343021
Jeffrey Humpherys, James E. Howard
Publication date: 18 January 1995
Published in: Physica D (Search for Journal in Brave)
Periodic and quasi-periodic flows and diffeomorphisms (37C55) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (max. 100)
Scaling properties for a family of discontinuous mappings ⋮ Robust attractor of non-twist systems ⋮ Degenerate resonances in Hamiltonian systems: from Poincaré-Birkhoff chains to vortex pairs and Kármán vortex streets ⋮ A dynamical phase transition for a family of Hamiltonian mappings: a phenomenological investigation to obtain the critical exponents ⋮ Area preserving nontwist maps: Periodic orbits and transition to chaos ⋮ On Slater's criterion for the breakup of invariant curves ⋮ Control of transport in a chaotic lattice ⋮ Bifurcations in a family of Hamiltonian systems and associated nontwist cubic maps ⋮ Efficient and reliable algorithms for the computation of non-twist invariant circles ⋮ Creation of twistless circles in a model of stellar pulsations ⋮ Gyroaverage effects on nontwist Hamiltonians: separatrix reconnection and chaos suppression ⋮ Threshold to global diffusion in a nonmonotonic map with quadratic nonlinearity. ⋮ An investigation of chaotic diffusion in a family of Hamiltonian mappings whose angles diverge in the limit of vanishingly action ⋮ The eccentric Kozai-Lidov effect as a resonance phenomenon ⋮ Large-scale chaos for arbitrarily small perturbations in non-twist Hamiltonian systems. ⋮ Reconnection of unstable manifolds and change in transport properties. ⋮ Chaotic mixing and transport in a meandering jet flow ⋮ Meanders and reconnection–collision sequences in the standard nontwist map ⋮ Degenerate resonances in Hamiltonian systems with 3/2 degrees of freedom ⋮ Twist singularities for symplectic maps ⋮ Renormalization and destruction of 1/γ2 tori in the standard nontwist map ⋮ On the scenario of reconnection in non-twist cubic maps ⋮ A simple reconnecting map ⋮ The vanishing twist in the restricted three-body problem ⋮ Separatrix reconnection and periodic orbit annihilation in the Harper map ⋮ Vanishing twist in the Hamiltonian Hopf bifurcation ⋮ Normal forms for 4D symplectic maps with twist singularities ⋮ Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation ⋮ On degenerate resonances in Hamiltonian systems with two degrees of freedom ⋮ Twistless tori near low-order resonances ⋮ On bifurcations in degenerate resonance zones ⋮ The nonmonotonic twist maps and basic hyperbolic sets ⋮ Manifold reconnection and diffusion in strong chaos ⋮ Another look at the saddle-centre bifurcation: vanishing twist. ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations ⋮ The threshold for global diffusion in the kicked Harper map ⋮ Reconnection scenarios and the threshold of reconnection in the dynamics of non-twist maps. ⋮ Nonmonotonic maps and related bifurcations in laser accelerators.
Cites Work
- Unnamed Item
- Unnamed Item
- Four-dimensional mapping model for two-frequency electron cyclotron resonance heating
- The birth process of periodic orbits in non-twist maps
- Universal behaviour in families of area-preserving maps
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Periodic orbits for reversible, symplectic mappings
- Regular and chaotic dynamics.
- The birth of twin Poincaré-Birkhoff chains near 1:3 resonance
- Chaotic transport by Rossby waves in shear flow
This page was built for publication: Nonmonotonic twist maps
