This paper first summarizes the theory of quasi-periodic bifurcations for dissipative dynamical systems. Then it presents algorithms for the computation and continuation of invariant circles and of their bifurcations. Finally several applications are given for quasi-periodic bifurcations of Hopf, saddle-node and period-doubling type.
In the skew Hopf bifurcation a quasi-periodic attractor with nontrivial normal linear dynamics loses...
It is known that for the study of continuous dynamical systems the discret case plays an important r...
International audienceThis survey article is concerned with the study of bifurcations of discontinuo...
This paper first summarizes the theory of quasi-periodic bifurcations for dissipative dynamical syst...
Two types of quasi-periodic Hopf bifurcations are known, in which a Whitney smooth family of quasi-p...
In the skew Hopf bifurcation a quasi-periodic attractor with nontrivial normal linear dynamics loses...
Invariant tori of integrable dynamical systems occur both in the dissipative and in the conservative...
In the skew Hopf bifurcation a quasi-periodic attractor with nontrivial normal linear dynamics loses...
We consider the perturbed quasi-periodic dynamics of a family of reversible systems with normally 1:...
We consider the perturbed quasi-periodic dynamics of a family of reversible systems with normally 1:...
In this thesis we study the process of torus collisions in one-parameter families of quasi-periodica...
International audienceWe consider a particular class of equations of motion, generalizing to n degre...
We consider a particular class of equations of motion, generalizing to n degrees of freedom the "dis...
The dynamics near a Hopf saddle-node bifurcation of fixed points of diffeomorphisms is analysed by m...
The dynamics near a Hopf saddle-node bifurcation of fixed points of diffeomorphisms is analysed by m...
In the skew Hopf bifurcation a quasi-periodic attractor with nontrivial normal linear dynamics loses...
It is known that for the study of continuous dynamical systems the discret case plays an important r...
International audienceThis survey article is concerned with the study of bifurcations of discontinuo...
This paper first summarizes the theory of quasi-periodic bifurcations for dissipative dynamical syst...
Two types of quasi-periodic Hopf bifurcations are known, in which a Whitney smooth family of quasi-p...
In the skew Hopf bifurcation a quasi-periodic attractor with nontrivial normal linear dynamics loses...
Invariant tori of integrable dynamical systems occur both in the dissipative and in the conservative...
In the skew Hopf bifurcation a quasi-periodic attractor with nontrivial normal linear dynamics loses...
We consider the perturbed quasi-periodic dynamics of a family of reversible systems with normally 1:...
We consider the perturbed quasi-periodic dynamics of a family of reversible systems with normally 1:...
In this thesis we study the process of torus collisions in one-parameter families of quasi-periodica...
International audienceWe consider a particular class of equations of motion, generalizing to n degre...
We consider a particular class of equations of motion, generalizing to n degrees of freedom the "dis...
The dynamics near a Hopf saddle-node bifurcation of fixed points of diffeomorphisms is analysed by m...
The dynamics near a Hopf saddle-node bifurcation of fixed points of diffeomorphisms is analysed by m...
In the skew Hopf bifurcation a quasi-periodic attractor with nontrivial normal linear dynamics loses...
It is known that for the study of continuous dynamical systems the discret case plays an important r...
International audienceThis survey article is concerned with the study of bifurcations of discontinuo...
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