AbstractUnder a suitable assumption on the potential energy V, we prove the existence of a homoclinic orbit of the equation Dt(x′(t)) + grad V(x(t)) = 0, x ϵ M, where M is a compact Riemannian manifold.Our assumption is satisfied, for instance, if the function V has a unique nondegenerate maximum point
We consider homoclinic orbits in the fourth-order equation v(iv) + (1 - ε2)v″ - ε2v ≤ v2 + γ(2vv″ + ...
We consider homoclinic orbits in the fourth-order equation v(iv) + (1 - ε2)v″ - ε2v ≤ v2 + γ(2vv″ + ...
We consider homoclinic orbits in the fourth-order equation v((iv)) + (1- epsilon(2)) v - epsilon(2)...
Under a suitable assumption on the potentialenergy V, we prove the existence of a homoclinic orbit ...
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...
Consider a smooth Hamiltonian system in ℝ2N , x˙=JH′(x) , the energy surface Σ={x/H(x)=H(0)} being c...
Synopsis. We study the system q ̈ = −V ′(q) in RN where V is a potential with a strict local maximu...
AbstractIf the Aubry set A˜(c) satisfies some topological hypothesis, such as H1(M×T,A(c),R)≠0, then...
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...
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...
We consider homoclinic orbits in the fourth-order equation v(iv) + (1 - ε2)v″ - ε2v ≤ v2 + γ(2vv″ + ...
We consider homoclinic orbits in the fourth-order equation v(iv) + (1 - ε2)v″ - ε2v ≤ v2 + γ(2vv″ + ...
We consider homoclinic orbits in the fourth-order equation v((iv)) + (1- epsilon(2)) v - epsilon(2)...
Under a suitable assumption on the potentialenergy V, we prove the existence of a homoclinic orbit ...
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...
Consider a smooth Hamiltonian system in ℝ2N , x˙=JH′(x) , the energy surface Σ={x/H(x)=H(0)} being c...
Synopsis. We study the system q ̈ = −V ′(q) in RN where V is a potential with a strict local maximu...
AbstractIf the Aubry set A˜(c) satisfies some topological hypothesis, such as H1(M×T,A(c),R)≠0, then...
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...
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...
We consider homoclinic orbits in the fourth-order equation v(iv) + (1 - ε2)v″ - ε2v ≤ v2 + γ(2vv″ + ...
We consider homoclinic orbits in the fourth-order equation v(iv) + (1 - ε2)v″ - ε2v ≤ v2 + γ(2vv″ + ...
We consider homoclinic orbits in the fourth-order equation v((iv)) + (1- epsilon(2)) v - epsilon(2)...
DOI
Add to ORKG