## New directions in differential equations and dynamical systems: a collection of papers dedicated to J.K. Hale on the occasion of his 60th birthday |

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### Contents

Sigurd B Angenent | 21 |

Babin and M I Vishik | 39 |

Ball and K W Zhang | 63 |

Copyright | |

25 other sections not shown

### Common terms and phrases

2-characteristic emanating affine connection apply assume assumptions asymptotically stable attractor backward 2-characteristic Banach space bifurcation boundary conditions bounded compact cone consider constant continuous converges Corollary corresponding defined definition denote derivatives domain dynamical systems eigenvalues equilibrium estimate example exists exponential dichotomy finite fixed point fixed-point subspaces follows generalised given Hale Hamiltonian system Hence heteroclinic cycles homoclinic homoclinic orbit hyperbolic hypotheses implies inequality integral interval invariant isotropy subgroups Lemma linear Lipschitz Math Mathematics minimal backward neighbourhood nonlinear norm normal form obtain operator orbits ordinary differential equations parabolic parameter periodic solutions perturbation proof of Lemma proof of Theorem properties Proposition prove region Remark resonance respect saddle satisfies scalar Section semigroup sequence smooth Springer subspace sufficiently small symmetry symplectic connection tangent Theorem 2.1 theory trajectory uniformly unique unstable manifold value problem variation vector field waves zero