Add to ORKGWe show that in the neighbourhood of relative equilibria and relative periodic solutions, coordinates can be chosen so that the equations of motion, in normal form, admit certain additional equivariance conditions up to arbitrarily high order. In particular, normal forms for relative periodic solutions effectively reduce to normal forms for relative equilibria, enabling the calculation of the drift of solutions bifurcating from relative periodic solutions.</p
Further reduction for classical normal forms of smooth maps is considered in this paper. Firstly, ba...
AbstractThe relative equilibria of a symmetric Hamiltonian dynamical system are the critical points ...
\Ye present the quadratic and cubic normal forms of a nonlinear control system around an equilibrium...
We show that in the neighbourhood of relative equilibria and relative periodic solutions, coordinate...
We show that in the neighbourhood of relative equilibria and relative periodic solutions, coordinate...
Abstract. We show that in the neighbourhood of relative equilibria and rel-ative periodic solutions,...
In this paper we introduce the pseudo-normal form, which generalizes the notion of normal form arou...
Abstract: First we consider the linear periodic Hamiltonian systems. For them we find norm...
Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of g...
30 pagesAn estimate on the number of distinct relative periodic orbits around a stable relative equi...
Introduction: The method of resonant normal form is based on reducing a system of nonlinear ordinary...
The relative equilibria of a symmetric Hamiltonian dynamical system are the critical points of the s...
AbstractIn this paper we introduce the pseudo-normal form, which generalizes the notion of normal fo...
AbstractWe propose in this paper a method for obtaining a significant refinement of normal forms for...
We study local bifurcation in equivariant dynamical systems from periodic solutions with a mixture o...
Further reduction for classical normal forms of smooth maps is considered in this paper. Firstly, ba...
AbstractThe relative equilibria of a symmetric Hamiltonian dynamical system are the critical points ...
\Ye present the quadratic and cubic normal forms of a nonlinear control system around an equilibrium...
We show that in the neighbourhood of relative equilibria and relative periodic solutions, coordinate...
We show that in the neighbourhood of relative equilibria and relative periodic solutions, coordinate...
Abstract. We show that in the neighbourhood of relative equilibria and rel-ative periodic solutions,...
In this paper we introduce the pseudo-normal form, which generalizes the notion of normal form arou...
Abstract: First we consider the linear periodic Hamiltonian systems. For them we find norm...
Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of g...
30 pagesAn estimate on the number of distinct relative periodic orbits around a stable relative equi...
Introduction: The method of resonant normal form is based on reducing a system of nonlinear ordinary...
The relative equilibria of a symmetric Hamiltonian dynamical system are the critical points of the s...
AbstractIn this paper we introduce the pseudo-normal form, which generalizes the notion of normal fo...
AbstractWe propose in this paper a method for obtaining a significant refinement of normal forms for...
We study local bifurcation in equivariant dynamical systems from periodic solutions with a mixture o...
Further reduction for classical normal forms of smooth maps is considered in this paper. Firstly, ba...
AbstractThe relative equilibria of a symmetric Hamiltonian dynamical system are the critical points ...
\Ye present the quadratic and cubic normal forms of a nonlinear control system around an equilibrium...