Add to ORKGUnder a suitable assumption on the potentialenergy V, we prove the existence of a homoclinic orbit for the corresponding Lagrangian function on a compact Riemannian manifold. Our assumption is satisfied, for instance, if the function V has a unique non-degerate maximum poin
Let (M, g) be a complete Riemannian manifold, Omega subset of Man open subset whose closure is homeo...
Let (M, g) be a complete Riemannian manifold, Omega subset of Man open subset whose closure is homeo...
Synopsis. We study the system q ̈ = −V ′(q) in RN where V is a potential with a strict local maximu...
AbstractUnder a suitable assumption on the potential energy V, we prove the existence of a homoclini...
We prove the existence of a non-trivial homoclinic orbit on a Riemannian manifold (possibly non-comp...
AbstractUnder a suitable assumption on the potential energy V, we prove the existence of a homoclini...
We consider second order Hamiltonian systems on non-compact Riemannian manifolds. We prove the exist...
We consider second order Hamiltonian systems on non-compact Riemannian manifolds. We prove the exist...
We consider second order Hamiltonian systems on non-compact Riemannian manifolds. We prove the exist...
Consider a smooth Hamiltonian system in ℝ2N , x˙=JH′(x) , the energy surface Σ={x/H(x)=H(0)} being c...
We prove the existence of infinitely many homoclinic orbits on a Riemannian manifold (possibly non-c...
We prove the existence of infinitely many homoclinic orbits on a Riemannian manifold (possibly non-c...
We prove the existence of infinitely many homoclinic orbits on a Riemannian manifold (possibly non-c...
AbstractIf the Aubry set A˜(c) satisfies some topological hypothesis, such as H1(M×T,A(c),R)≠0, then...
Let (M, g) be a complete Riemannian manifold, Omega subset of Man open subset whose closure is homeo...
Let (M, g) be a complete Riemannian manifold, Omega subset of Man open subset whose closure is homeo...
Let (M, g) be a complete Riemannian manifold, Omega subset of Man open subset whose closure is homeo...
Synopsis. We study the system q ̈ = −V ′(q) in RN where V is a potential with a strict local maximu...
AbstractUnder a suitable assumption on the potential energy V, we prove the existence of a homoclini...
We prove the existence of a non-trivial homoclinic orbit on a Riemannian manifold (possibly non-comp...
AbstractUnder a suitable assumption on the potential energy V, we prove the existence of a homoclini...
We consider second order Hamiltonian systems on non-compact Riemannian manifolds. We prove the exist...
We consider second order Hamiltonian systems on non-compact Riemannian manifolds. We prove the exist...
We consider second order Hamiltonian systems on non-compact Riemannian manifolds. We prove the exist...
Consider a smooth Hamiltonian system in ℝ2N , x˙=JH′(x) , the energy surface Σ={x/H(x)=H(0)} being c...
We prove the existence of infinitely many homoclinic orbits on a Riemannian manifold (possibly non-c...
We prove the existence of infinitely many homoclinic orbits on a Riemannian manifold (possibly non-c...
We prove the existence of infinitely many homoclinic orbits on a Riemannian manifold (possibly non-c...
AbstractIf the Aubry set A˜(c) satisfies some topological hypothesis, such as H1(M×T,A(c),R)≠0, then...
Let (M, g) be a complete Riemannian manifold, Omega subset of Man open subset whose closure is homeo...
Let (M, g) be a complete Riemannian manifold, Omega subset of Man open subset whose closure is homeo...
Let (M, g) be a complete Riemannian manifold, Omega subset of Man open subset whose closure is homeo...
Synopsis. We study the system q ̈ = −V ′(q) in RN where V is a potential with a strict local maximu...