Add to ORKGIn this paper we give a numerical description of the neighbourhood of a fixed point of a symplectic map undergoing a transition from linear stability to complex instability, i.e., the so called Hamiltonian-Hopf bifurcation. We have considered both the direct and inverse cases. The study is based on the numerical computation of the Lyapunov families of invariant curves near the fixed point. We show how these families, jointly with their invariant manifolds and the invariant manifolds of the fixed point organise the phase space around the bifurcation
This paper deals with the analysis of Hamiltonian Hopf as well as saddle-centre bifurcations in 4-DO...
We consider G x R-invariant Hamiltonians H on complex projective 2-space, where G is a point group a...
The dynamics of Hamiltonian systems (e.g. planetary motion, electron dynamics in nano-structures, mo...
In this paper we give a numerical description of the neighbourhood of a fixed point of a symplectic ...
The Hopf-like bifurcation associated with the transition from stability to complex instability of ...
Recent work on reversible Neimark-Sacker bifurcation in 4D maps is summarized. Linear stability anal...
Symplectic mappings in a four-dimensional phase space are analysed; in the neighbourhood of an ellip...
We study the dynamics in the neighborhood of fixed points in a 4D symplectic map by means of the col...
The paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori ...
The regular structures of a generic 4D symplectic map with a mixed phase space are organized by one-...
Abstract We study the evolution of the stable and unstable manifolds of an equilibrium point of a Ha...
In 4D symplectic maps complex instability of periodic orbits is possible, which cannot occur in the ...
It is shown that intersections of one parameter families of Lagrangian submanifolds of symplectic ma...
Studies Hamiltonian Hopf bifurcation in the presence of a compact symmetry group G. The author class...
We consider a one parameter family of 2-DOF Hamiltonian systems having an equilibrium point that und...
This paper deals with the analysis of Hamiltonian Hopf as well as saddle-centre bifurcations in 4-DO...
We consider G x R-invariant Hamiltonians H on complex projective 2-space, where G is a point group a...
The dynamics of Hamiltonian systems (e.g. planetary motion, electron dynamics in nano-structures, mo...
In this paper we give a numerical description of the neighbourhood of a fixed point of a symplectic ...
The Hopf-like bifurcation associated with the transition from stability to complex instability of ...
Recent work on reversible Neimark-Sacker bifurcation in 4D maps is summarized. Linear stability anal...
Symplectic mappings in a four-dimensional phase space are analysed; in the neighbourhood of an ellip...
We study the dynamics in the neighborhood of fixed points in a 4D symplectic map by means of the col...
The paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori ...
The regular structures of a generic 4D symplectic map with a mixed phase space are organized by one-...
Abstract We study the evolution of the stable and unstable manifolds of an equilibrium point of a Ha...
In 4D symplectic maps complex instability of periodic orbits is possible, which cannot occur in the ...
It is shown that intersections of one parameter families of Lagrangian submanifolds of symplectic ma...
Studies Hamiltonian Hopf bifurcation in the presence of a compact symmetry group G. The author class...
We consider a one parameter family of 2-DOF Hamiltonian systems having an equilibrium point that und...
This paper deals with the analysis of Hamiltonian Hopf as well as saddle-centre bifurcations in 4-DO...
We consider G x R-invariant Hamiltonians H on complex projective 2-space, where G is a point group a...
The dynamics of Hamiltonian systems (e.g. planetary motion, electron dynamics in nano-structures, mo...