Add to ORKGWe consider a Hamiltonian of three degrees of freedom and a family of periodic orbits with a transition from stability to complex instability, such that there is an irrational collision of the Floquet eigenvalues of opposite sign. We analize the local dynamics and the bifurcation phenomena linked to this transition. We study the resulting Hamiltonian Hopf-like bifurcation from an analy- tical point of view by means of normal forms. The existence of a bifurcating family of 2D tori is derived in both cases (direct and inverse bifur- cation) are described
In this paper, a three dimensional autonomous chaotic system is considered. The existence of Hopf bi...
We use Moser's normal forms to study chaotic motion in two-degree hamiltonian systems near a saddle ...
This paper uses Hamiltonian methods to find and determine the stability of some new solution branche...
In an autonomous Hamiltonian system with three or more degrees of freedom, a family of periodic orbi...
The Hopf-like bifurcation associated with the transition from stability to complex instability of ...
The Hopf-like bifurcation associated with the transition from stability to complex instability of...
We consider an analytic Hamiltonian system with three degrees of freedom and having a family of peri...
AbstractThis paper presents a geometric analysis of bifurcations leading to chaos for Hamiltonian sy...
In this work, our target is to analyze the dynamics around the $1:-1$ resonance which appears when a...
In this work, our target is to analyze the dynamics around the $1:-1$ resonance which appears when ...
Complex instability is a generic kind of instability in Hamiltonian systems with three degrees of ...
Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of g...
Abstract. A generalised Hopf bifurcation, corresponding to non-semisimple double imapi-nary eigenval...
Abstract: This paper investigates the dynamics and stability properties of a so-called planar trunca...
A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a cer...
In this paper, a three dimensional autonomous chaotic system is considered. The existence of Hopf bi...
We use Moser's normal forms to study chaotic motion in two-degree hamiltonian systems near a saddle ...
This paper uses Hamiltonian methods to find and determine the stability of some new solution branche...
In an autonomous Hamiltonian system with three or more degrees of freedom, a family of periodic orbi...
The Hopf-like bifurcation associated with the transition from stability to complex instability of ...
The Hopf-like bifurcation associated with the transition from stability to complex instability of...
We consider an analytic Hamiltonian system with three degrees of freedom and having a family of peri...
AbstractThis paper presents a geometric analysis of bifurcations leading to chaos for Hamiltonian sy...
In this work, our target is to analyze the dynamics around the $1:-1$ resonance which appears when a...
In this work, our target is to analyze the dynamics around the $1:-1$ resonance which appears when ...
Complex instability is a generic kind of instability in Hamiltonian systems with three degrees of ...
Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of g...
Abstract. A generalised Hopf bifurcation, corresponding to non-semisimple double imapi-nary eigenval...
Abstract: This paper investigates the dynamics and stability properties of a so-called planar trunca...
A universal local bifurcation analysis is presented of an autonomous Hamiltonian system around a cer...
In this paper, a three dimensional autonomous chaotic system is considered. The existence of Hopf bi...
We use Moser's normal forms to study chaotic motion in two-degree hamiltonian systems near a saddle ...
This paper uses Hamiltonian methods to find and determine the stability of some new solution branche...