AbstractWe consider the bifurcation of periodic orbits from an equilibrium in Hamiltonian systems. The averaging method is developed in higher-order resonance cases. For systems with general degrees of freedom, the conditions for the existence of long periodic orbits can be written in a simple form in terms of the coefficients of higher-order terms of the normalized Hamiltonian function
In this paper we study analytically the existence of two families of periodic orbits using the avera...
A generalized Friedmann-Robertson-Walker Hamiltonian system is studied in dimension 6. The averaging...
We develop an analytic technique to study the dynamics in the neighborhood of a periodic trajectory ...
AbstractWe consider the bifurcation of periodic orbits from an equilibrium in Hamiltonian systems. T...
We show how to apply to Hamiltonian differential systems recent results for studying the periodic or...
Lyapunov, Weinstein and Moser obtained remarkable theorems giving sufficient conditions for the exis...
We provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Fr...
We provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Fr...
AbstractThe existence of periodic orbits for Hamiltonian systems at low positive energies can be ded...
The tools of normal forms and recurrence are used to analyze the interaction of low and higher order...
The tools of normal forms and recurrence are used to analyze the interaction of low and higher order...
The tools of normal forms and recurrence are used to analyze the interaction of low and higher order...
We study an analytic Hamiltonian system near a strongly resonant periodic orbit. We introduce a modu...
By means of the averaging method of the first order, we introduce the maximum number of limit cycles...
In this paper we study analytically the existence of two families of periodic orbits using the avera...
In this paper we study analytically the existence of two families of periodic orbits using the avera...
A generalized Friedmann-Robertson-Walker Hamiltonian system is studied in dimension 6. The averaging...
We develop an analytic technique to study the dynamics in the neighborhood of a periodic trajectory ...
AbstractWe consider the bifurcation of periodic orbits from an equilibrium in Hamiltonian systems. T...
We show how to apply to Hamiltonian differential systems recent results for studying the periodic or...
Lyapunov, Weinstein and Moser obtained remarkable theorems giving sufficient conditions for the exis...
We provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Fr...
We provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Fr...
AbstractThe existence of periodic orbits for Hamiltonian systems at low positive energies can be ded...
The tools of normal forms and recurrence are used to analyze the interaction of low and higher order...
The tools of normal forms and recurrence are used to analyze the interaction of low and higher order...
The tools of normal forms and recurrence are used to analyze the interaction of low and higher order...
We study an analytic Hamiltonian system near a strongly resonant periodic orbit. We introduce a modu...
By means of the averaging method of the first order, we introduce the maximum number of limit cycles...
In this paper we study analytically the existence of two families of periodic orbits using the avera...
In this paper we study analytically the existence of two families of periodic orbits using the avera...
A generalized Friedmann-Robertson-Walker Hamiltonian system is studied in dimension 6. The averaging...
We develop an analytic technique to study the dynamics in the neighborhood of a periodic trajectory ...