New Directions in Differential Equations and Dynamical Systems: A Collection of Papers Dedicated to J.K. Hale on the Occasion of His 60th Birthday |
Contents
Periodic solutions of a class of Hamiltonian systems with singularities | 7 |
SIGURD B ANGENENT | 21 |
BABIN and M I VISHIK | 39 |
Copyright | |
29 other sections not shown
Common terms and phrases
a₁ affine connection assume asymptotically stable attractor backward 2-characteristic Banach space bifurcation boundary conditions bounded C₁ compact cone connection consider constant continuous converges corresponding defined definition denote domain E₁ eigenvalues equilibrium estimate exists exponential dichotomy finite fixed point fixed-point subspaces follows function given H₁ Hamiltonian system Hence heteroclinic cycles homoclinic hyperbolic implies inequality integral interval invariant isotropy subgroups Lemma linear linearised Math Mathematics minimal backward neighbourhood nonlinear norm obtain operator orbits ordinary differential equations P₁ periodic solutions perturbation proof of Theorem properties Proposition prove region resonance respect satisfies Section semigroup sequence smooth subspace sufficiently small symmetry symplectic symplectic connection t₁ Theorem 2.1 theory u₁ uniformly unique unstable manifold v₁ variation vector field w(x+ w₁ waves x₁ y₁ zero