Add to ORKGAbstract. We consider two-degree-of-freedom Hamiltonian systems with saddle-centers, and develop a Melnikov-type technique for detecting creation of trans-verse homoclinic orbits by higher-order terms. We apply the technique to the generalized Hénon-Heiles system and give a positive answer to a remaining question of whether chaotic dynamics occurs for some parameter values al-though it is known to be nonintegrable in a complex analytical meaning. 1. Introduction. I
Melnikov's method is an analytical way to show the existence of classical chaos generated by a Smale...
This article extends a review in [9] of the theory and application of homoclinic orbits to equilibri...
Abstract We consider a real analytic two degrees of freedom Hamiltonian system possessing a homoclin...
In this thesis is to describe the use of the Poincaré-Melnikov method in the detection of homoclinic...
This paper deals with perturbed Hamiltonian systems. The main assumption is that the unperturbed sys...
This paper considers the generalized Henon-Heiles system, defined by the Hamiltonian Η = (p$\text{}_...
This thesis gives a detailed discussion of Melnikov's method, which is an analytical tool to study ...
In the past hundred years investigators have learned the significance of complex behavior in determi...
We use Moser's normal forms to study chaotic motion in two-degree hamiltonian systems near a saddle ...
AbstractConsideration is given to the chaotic dynamics near an orbit homoclinic to a saddle-focus fi...
A Melnikov analysis of single-degree-of-freedom (DOF) oscillators is performed by tak-ing into accou...
AbstractWe study bifurcations of homoclinic orbits to hyperbolic saddle equilibria in a class of fou...
A Melnikov analysis of single-degree-of-freedom (DOF) oscillators is performed by taking into accoun...
The classical Melnikov method for heteroclinic orbits is extended theoretically to a class of hybrid...
The goal of this thesis is the study of homoclinic orbits in conservative systems (area-preserving m...
Melnikov's method is an analytical way to show the existence of classical chaos generated by a Smale...
This article extends a review in [9] of the theory and application of homoclinic orbits to equilibri...
Abstract We consider a real analytic two degrees of freedom Hamiltonian system possessing a homoclin...
In this thesis is to describe the use of the Poincaré-Melnikov method in the detection of homoclinic...
This paper deals with perturbed Hamiltonian systems. The main assumption is that the unperturbed sys...
This paper considers the generalized Henon-Heiles system, defined by the Hamiltonian Η = (p$\text{}_...
This thesis gives a detailed discussion of Melnikov's method, which is an analytical tool to study ...
In the past hundred years investigators have learned the significance of complex behavior in determi...
We use Moser's normal forms to study chaotic motion in two-degree hamiltonian systems near a saddle ...
AbstractConsideration is given to the chaotic dynamics near an orbit homoclinic to a saddle-focus fi...
A Melnikov analysis of single-degree-of-freedom (DOF) oscillators is performed by tak-ing into accou...
AbstractWe study bifurcations of homoclinic orbits to hyperbolic saddle equilibria in a class of fou...
A Melnikov analysis of single-degree-of-freedom (DOF) oscillators is performed by taking into accoun...
The classical Melnikov method for heteroclinic orbits is extended theoretically to a class of hybrid...
The goal of this thesis is the study of homoclinic orbits in conservative systems (area-preserving m...
Melnikov's method is an analytical way to show the existence of classical chaos generated by a Smale...
This article extends a review in [9] of the theory and application of homoclinic orbits to equilibri...
Abstract We consider a real analytic two degrees of freedom Hamiltonian system possessing a homoclin...