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Multiple homoclinic orbits for a class of Hamiltonian systems
Calculus of Variations and Partial Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Homoclinic orbits for a class of hemivariational inequalities
Applicable Analysis, 1995Using a new compact imbedding theorem of C. De Coster and M.Willem [5], we prove the existence of homoclinic orbits for a class of hemivariational inequalities.
S. Adly, D. Goeleven
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Continuum-wise expansive homoclinic classes for generic diffeomorphisms
Publicationes Mathematicae Debrecen, 2016The author investigates diffeomorphisms \(f:M\to M\) on a closed smooth Riemannian manifold (without boundary) of dimension \(m>1\). Two central results dealing with the property of being continuum-wise hyperbolic are shown: Theorem A: For \(C^1\)-generic \(f\), if a homoclinic class \(H_f(p)\) is continuum-wise expansive, then it is hyperbolic ...
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Homoclinic orbits for a class of Hamiltonian systems
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1990SynopsisConsider the second order Hamiltonian system:where q ∊ ℝn and V ∊ C1 (ℝ ×ℝn ℝ) is T periodic in t. Suppose Vq (t, 0) = 0, 0 is a local maximum for V(t,.) and V(t, x) | x| → ∞ Under these and some additional technical assumptions we prove that (HS) has a homoclinic orbit q emanating from 0.
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