AbstractWe show that there are infinitely many periodic orbits in any neighborhood of an isolated M˜-semi-static orbit homoclinic to an Aubry set for time-periodic positive Lagrangian systems
This paper deals via variational methods with the existence of infinitely many homoclinic orbits for...
AbstractConsider a Lagrangian of the formL(x,ẋ,q,q̇)=12(ẋ2−x2)+12q̇2+(1+δ(x))V(q),where x, q∈R. As...
AbstractFor a class of fourth order autonomous Hamiltonian systems, we give geometrical conditions t...
AbstractIn this paper, we study the problem of homoclinic orbits to Aubry sets for time-periodic pos...
AbstractWe study M˜-semi-static homoclinic orbits to Aubry sets in positive definite Lagrangian syst...
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 announce two topological results that may be used to estimate the number of relative periodic orb...
We prove the existence of a non-trivial homoclinic orbit on a Riemannian manifold (possibly non-comp...
In a reversible system, we consider a homoclinic orbit being bi-asymptotic to a saddle-focus equilib...
The existence is proved, by means of variational arguments, of infinitely many heteroclinic solution...
AbstractWhen nonlinear, reversible fourth order Hamiltonian systems have a saddle-focus at a hyperbo...
We consider an autonomous, second order Hamiltonian system having a saddle-center stationary point w...
In this paper we study the first order nonautonomous Hamiltonian system $$ \dot{z}=\mathcal J H_{z}(...
We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infi...
This paper deals via variational methods with the existence of infinitely many homoclinic orbits for...
AbstractConsider a Lagrangian of the formL(x,ẋ,q,q̇)=12(ẋ2−x2)+12q̇2+(1+δ(x))V(q),where x, q∈R. As...
AbstractFor a class of fourth order autonomous Hamiltonian systems, we give geometrical conditions t...
AbstractIn this paper, we study the problem of homoclinic orbits to Aubry sets for time-periodic pos...
AbstractWe study M˜-semi-static homoclinic orbits to Aubry sets in positive definite Lagrangian syst...
AbstractIf the Aubry set A˜(c) satisfies some topological hypothesis, such as H1(M×T,A(c),R)≠0, then...
We prove the existence of infinitely many homoclinic orbits on a Riemannian manifold (possibly non-c...
We announce two topological results that may be used to estimate the number of relative periodic orb...
We prove the existence of a non-trivial homoclinic orbit on a Riemannian manifold (possibly non-comp...
In a reversible system, we consider a homoclinic orbit being bi-asymptotic to a saddle-focus equilib...
The existence is proved, by means of variational arguments, of infinitely many heteroclinic solution...
AbstractWhen nonlinear, reversible fourth order Hamiltonian systems have a saddle-focus at a hyperbo...
We consider an autonomous, second order Hamiltonian system having a saddle-center stationary point w...
In this paper we study the first order nonautonomous Hamiltonian system $$ \dot{z}=\mathcal J H_{z}(...
We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infi...
This paper deals via variational methods with the existence of infinitely many homoclinic orbits for...
AbstractConsider a Lagrangian of the formL(x,ẋ,q,q̇)=12(ẋ2−x2)+12q̇2+(1+δ(x))V(q),where x, q∈R. As...
AbstractFor a class of fourth order autonomous Hamiltonian systems, we give geometrical conditions t...