Add to ORKGWe consider perturbations of n-dimensional maps having homo-heteroclinic connections of compact normally hyperbolic invariant manifolds. We justify the applicability of the Poincaré-Melnikov method by following a geometric approach. Several examples are included
We consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom w...
The splitting of separatrices for hyperbolic fixed points of twist maps with $d$ degrees of freedom ...
The splitting of separatrices for hyperbolic fixed points of twist maps with $d$ degrees of freedom ...
hyperbolic KAM tori - transverse homoclinic orbits - Melnikov methodWe consider a perturbation of an...
We develop a Melnikov method for volume-preserving maps that have normally hyperbolic invariant sets...
In this thesis is to describe the use of the Poincaré-Melnikov method in the detection of homoclinic...
We deal with a perturbation of a hyperbolic integrable Hamiltonian system with n+1 degrees of freedo...
The Poincar\'e--Melnikov--Arnold method is the standard tool for detecting splitting of invariant ma...
The Poincar\'e--Melnikov--Arnold method is the standard tool for detecting splitting of invariant ma...
summary:The paper deals with the bifurcation phenomena of heteroclinic orbits for diffeomorphisms. T...
Abstract: The splitting of separatrices of hyperbolic fixed points for exact symplectic maps of n de...
Abstract: The splitting of separatrices of hyperbolic fixed points for exact symplectic maps of n de...
A general theory for perturbations of an integrable planar map with a separatrix to a hyperbolic fix...
The splitting of separatrices of hyperbolic fixed points for exact symplectic maps of $n$ degrees of...
We consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom w...
We consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom w...
The splitting of separatrices for hyperbolic fixed points of twist maps with $d$ degrees of freedom ...
The splitting of separatrices for hyperbolic fixed points of twist maps with $d$ degrees of freedom ...
hyperbolic KAM tori - transverse homoclinic orbits - Melnikov methodWe consider a perturbation of an...
We develop a Melnikov method for volume-preserving maps that have normally hyperbolic invariant sets...
In this thesis is to describe the use of the Poincaré-Melnikov method in the detection of homoclinic...
We deal with a perturbation of a hyperbolic integrable Hamiltonian system with n+1 degrees of freedo...
The Poincar\'e--Melnikov--Arnold method is the standard tool for detecting splitting of invariant ma...
The Poincar\'e--Melnikov--Arnold method is the standard tool for detecting splitting of invariant ma...
summary:The paper deals with the bifurcation phenomena of heteroclinic orbits for diffeomorphisms. T...
Abstract: The splitting of separatrices of hyperbolic fixed points for exact symplectic maps of n de...
Abstract: The splitting of separatrices of hyperbolic fixed points for exact symplectic maps of n de...
A general theory for perturbations of an integrable planar map with a separatrix to a hyperbolic fix...
The splitting of separatrices of hyperbolic fixed points for exact symplectic maps of $n$ degrees of...
We consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom w...
We consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom w...
The splitting of separatrices for hyperbolic fixed points of twist maps with $d$ degrees of freedom ...
The splitting of separatrices for hyperbolic fixed points of twist maps with $d$ degrees of freedom ...