Singularity theory and equivariant symplectic maps
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Publication:1310796
zbMath0799.58009MaRDI QIDQ1310796
Thomas J. Bridges, Jacques-Elie Furter
Publication date: 15 December 1993
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)
Related Items (12)
Reduction to modified KdV and its KP-like generalization via phase modulation ⋮ Origin Preserving Path Formulation for Multiparameter ℤ2-Equivariant Corank 2 Bifurcation Problems ⋮ Persistence of Hamiltonian relative periodic orbits. ⋮ Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field ⋮ Path formulation for multiparameter \(\mathbb D_3\)-equivariant bifurcation problems ⋮ Stability of minimal periodic orbits. ⋮ Motion close to the Hopf bifurcation of the vertical family of periodic orbits of \(L_{4}\) ⋮ Reversible equivariant Hopf bifurcation ⋮ Equivariant singularity theory with distinguished parameters: two case studies of resonant Hamiltonian systems ⋮ Resonant collisions in four-dimensional reversible maps: a description of scenarios ⋮ Bifurcation of a reversible Hamiltonian system from a fixed point with fourfold eigenvalue zero ⋮ Dynamics and bifurcations in a \(\mathbb{D}_n\)-symmetric Hamiltonian network. application to coupled gyroscopes
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