We show that systems having infinitely many coexisting generic 2-elliptic periodic orbits are dense among the four-dimensional symplectic maps with an orbit of homoclinic tangency to a saddle-focus
International audienceIn this paper we study the dynamics near the equilibrium point of a family of ...
The bifurcation of the birth of a closed invariant curve in the two-parameter unfolding of a two-dim...
Dynamical systems with a homoclinic loop to a saddle equilibrium state are considered. Andronov and ...
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
The goal of this thesis is the study of homoclinic orbits in conservative systems (area-preserving m...
We study bifurcations of area-preserving maps, both orientable (symplectic) and non-orientable, with...
We show that maps with infinitely many homoclinic tangencies of arbitrarily high orders are dense am...
We study dynamics and bifurcations of 2-dimensional reversible maps having a symmetric saddle fixed ...
This article extends a review in [9] of the theory and application of homoclinic orbits to equilibri...
The attractors of a dynamical system govern its typical long-term behaviour. The presence of many at...
In a reversible system, we consider a homoclinic orbit being bi-asymptotic to a saddle-focus equilib...
The main features of the orbit behavior for a Hamiltonian system in a neighborhood of a homoclinic o...
In this paper we study the dynamics near the equilibrium point of a family of Hamiltonian systems in...
We describe a codimension-3 bifurcational surface in the space of 퐶푟-smooth (푟 ≥ 3) dynamical system...
In this paper we study the dynamics near the equilibrium point of a family of Hamiltonian systems in...
International audienceIn this paper we study the dynamics near the equilibrium point of a family of ...
The bifurcation of the birth of a closed invariant curve in the two-parameter unfolding of a two-dim...
Dynamical systems with a homoclinic loop to a saddle equilibrium state are considered. Andronov and ...
We study bifurcations of a homoclinic tangency to a saddle fixed point without non-leading multiplie...
The goal of this thesis is the study of homoclinic orbits in conservative systems (area-preserving m...
We study bifurcations of area-preserving maps, both orientable (symplectic) and non-orientable, with...
We show that maps with infinitely many homoclinic tangencies of arbitrarily high orders are dense am...
We study dynamics and bifurcations of 2-dimensional reversible maps having a symmetric saddle fixed ...
This article extends a review in [9] of the theory and application of homoclinic orbits to equilibri...
The attractors of a dynamical system govern its typical long-term behaviour. The presence of many at...
In a reversible system, we consider a homoclinic orbit being bi-asymptotic to a saddle-focus equilib...
The main features of the orbit behavior for a Hamiltonian system in a neighborhood of a homoclinic o...
In this paper we study the dynamics near the equilibrium point of a family of Hamiltonian systems in...
We describe a codimension-3 bifurcational surface in the space of 퐶푟-smooth (푟 ≥ 3) dynamical system...
In this paper we study the dynamics near the equilibrium point of a family of Hamiltonian systems in...
International audienceIn this paper we study the dynamics near the equilibrium point of a family of ...
The bifurcation of the birth of a closed invariant curve in the two-parameter unfolding of a two-dim...
Dynamical systems with a homoclinic loop to a saddle equilibrium state are considered. Andronov and ...