Hamiltonian Systems Near Relative Periodic Orbits
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Publication:4785596
DOI10.1137/S1111111101387760zbMath1002.37024MaRDI QIDQ4785596
Publication date: 5 January 2003
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
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Related Items (18)
Normal form theory for relative equilibria and relative periodic solutions ⋮ Classical dynamics of fullerenes ⋮ Equivariant degree method for analysis of Hopf bifurcation of relative periodic solutions: case study of a ring of oscillators ⋮ A cotangent bundle slice theorem ⋮ Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies ⋮ Bifurcation from periodic solutions with spatiotemporal symmetry, including resonances and mode interactions. ⋮ On the influence of numerical preservation of invariants when simulating Hamiltonian relative periodic orbits ⋮ Normal forms of \(\omega\)-Hamiltonian vector fields with symmetries ⋮ \(\omega\)-symplectic algebra and Hamiltonian vector fields ⋮ Persistence of Hamiltonian relative periodic orbits. ⋮ Constraints and symmetry in mechanics of affine motion ⋮ Motion of test bodies with internal degrees of freedom in non-Euclidean spaces ⋮ Affine symmetry in mechanics of collective and internal modes. I: Classical models ⋮ Error propagation in numerical approximations near relative equilibria ⋮ Reversible relative periodic orbits. ⋮ Numerical continuation of Hamiltonian relative periodic orbits ⋮ Relative periodic points of symplectic maps: persistence and bifurcations ⋮ Dynamics of affinely-rigid bodies with degenerate dimension
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