On the symmetry lines of the standard mapping
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Publication:1088233
DOI10.1016/0167-2789(87)90236-3zbMath0612.58023OpenAlexW2036503556MaRDI QIDQ1088233
Publication date: 1987
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(87)90236-3
Related Items (17)
KAM theorems for the product of two involutions of different types ⋮ The iteration-approximation decoupling in the reversible KAM theory ⋮ Reversing \(k\)-symmetries in dynamical systems ⋮ Bifurcations of families of 1D-tori in 4D symplectic maps ⋮ Orbits of charged particles with an azimuthal initial velocity in a dipole magnetic field ⋮ The planar three-body problem, symmetries and periodic orbits ⋮ Periodic orbits for anisotropic perturbations of the Kepler problem ⋮ Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors ⋮ Lower-dimensional tori in reversible systems ⋮ Periodic orbits in \(k\)-symmetric dynamical systems ⋮ Bifurcation of the period-4 orbits in the standard map ⋮ Reversible maps and their symmetry lines ⋮ A new method to compute periodic orbits in general symplectic maps ⋮ Conjugacy classes and chiral doublets in the Hénon Hamiltonian repeller ⋮ Hamiltonian mappings and circle packing phase spaces: numerical investigations ⋮ Symmetry structure of accelerator modes in the standard map ⋮ Computational Study of the Dynamics of an Asymmetric Wedge Billiard
Cites Work
- On universality for area-preserving maps of the plane
- Universal behaviour in families of area-preserving maps
- A renormalization approach to invariant circles in area-preserving maps
- Critical Behavior of a KAM surface. I: Empirical results
- On the stability of periodic orbits of two-dimensional mappings
- A mathematical critique of some physical theories
- Two-Dimensional Measure-Preserving Mappings
- The Lattice Point Covering Theorem for Rectangles
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