AbstractA new normal form, called versal, for the linearized Hamiltonian vector field of the planar restricted three-body problem at the Lagrange equilibrium point L4 depending smoothly on the mass ratio for all values close to the critical Routh's ratio is described. Then a canonical transformation also depending smoothly on the mass ratio which brings the linear Hamiltonian vector field into this versal normal form is explicitly calculated
60A key tool in the study of the dynamics of vector fields near an equilibrium point is the theory o...
1ABSTRACT: We offer an algorithm to determine the form of the normal form for a vector field with a ...
We describe a new algorithm for the numerical verification of steepness, a necessary property for th...
AbstractA new normal form, called versal, for the linearized Hamiltonian vector field of the planar ...
AbstractWhen one studies matrices depending on parameters, the transformation into Jordan canonical ...
The theory of versal normal form has been playing a role in normal form since the introduction of th...
A necessary and sufficient condition is given for the unique normal forms about critical elements-eq...
Abstract. It is shown that a Hamiltonian system in the neighbourhood of an equilibrium may be given ...
AbstractWe present a new computation of the Birkhoff normal form for the Hamiltonian of the restrict...
We revisit a classical perturbative approach to the Hamiltonian related to the motions of Trojan bod...
Abstract: First we consider the linear periodic Hamiltonian systems. For them we find norm...
AbstractEquivalence classes of time independent, linear, real Hamiltonian systems can be identified,...
Abstract: The restricted three body problem is treated in the framework of the post-Newtonian approx...
The idea of the normalisation of the Hamiltonian system is to simplify the system by transforming Ha...
Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appro...
60A key tool in the study of the dynamics of vector fields near an equilibrium point is the theory o...
1ABSTRACT: We offer an algorithm to determine the form of the normal form for a vector field with a ...
We describe a new algorithm for the numerical verification of steepness, a necessary property for th...
AbstractA new normal form, called versal, for the linearized Hamiltonian vector field of the planar ...
AbstractWhen one studies matrices depending on parameters, the transformation into Jordan canonical ...
The theory of versal normal form has been playing a role in normal form since the introduction of th...
A necessary and sufficient condition is given for the unique normal forms about critical elements-eq...
Abstract. It is shown that a Hamiltonian system in the neighbourhood of an equilibrium may be given ...
AbstractWe present a new computation of the Birkhoff normal form for the Hamiltonian of the restrict...
We revisit a classical perturbative approach to the Hamiltonian related to the motions of Trojan bod...
Abstract: First we consider the linear periodic Hamiltonian systems. For them we find norm...
AbstractEquivalence classes of time independent, linear, real Hamiltonian systems can be identified,...
Abstract: The restricted three body problem is treated in the framework of the post-Newtonian approx...
The idea of the normalisation of the Hamiltonian system is to simplify the system by transforming Ha...
Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appro...
60A key tool in the study of the dynamics of vector fields near an equilibrium point is the theory o...
1ABSTRACT: We offer an algorithm to determine the form of the normal form for a vector field with a ...
We describe a new algorithm for the numerical verification of steepness, a necessary property for th...
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