Títol del volum: Mathematical Sciences with Multidisciplinary ApplicationsThis article deals with relaxation oscillations from a generic balanced canard cycle Γ subject to three breaking parameters of Hopf or jump type. We prove that in a rescaled layer of Γ there bifurcate at most five relaxation oscillations
AbstractThe paper treats multiple limit cycle bifurcations in singular perturbation problems of plan...
International audienceIn this work, we analyze the existence and stability of canard solutions in a ...
The results gathered in this thesis deal with multiple time scale dynamical systems near non-hyperbo...
AbstractThe paper deals with two-dimensional slow-fast systems and more specifically with multi-laye...
AbstractWe give a geometric analysis of relaxation oscillations and canard cycles in singularly pert...
PreprintInternational audienceFast-slow systems are studied usually by ''geometrical dissection". Th...
We show that a nonlinear, piecewise-smooth, planar dynamical system can exhibit canard phenomena. Ca...
We study saddle-node bifurcations of canard limit cycles in PWL systems by using singular perturbati...
The goal of our paper is to study canard relaxation oscillations of predator– prey systems with Holl...
International audienceSynchronization has been studied extensively in the context of weakly coupled ...
International audienceThis book offers the first systematic account of canard cycles, an intriguing ...
AbstractBy using the singular perturbation theory developed by Dumortier and Roussarie and recent wo...
The aim of this work is to propose an alternative method for determining the condition of existence ...
Canard cycles are periodic orbits that appear as special solutions of fast-slow systems (or singular...
International audiencehis article deals with slow-fast systems and is, in some sense, a first approa...
AbstractThe paper treats multiple limit cycle bifurcations in singular perturbation problems of plan...
International audienceIn this work, we analyze the existence and stability of canard solutions in a ...
The results gathered in this thesis deal with multiple time scale dynamical systems near non-hyperbo...
AbstractThe paper deals with two-dimensional slow-fast systems and more specifically with multi-laye...
AbstractWe give a geometric analysis of relaxation oscillations and canard cycles in singularly pert...
PreprintInternational audienceFast-slow systems are studied usually by ''geometrical dissection". Th...
We show that a nonlinear, piecewise-smooth, planar dynamical system can exhibit canard phenomena. Ca...
We study saddle-node bifurcations of canard limit cycles in PWL systems by using singular perturbati...
The goal of our paper is to study canard relaxation oscillations of predator– prey systems with Holl...
International audienceSynchronization has been studied extensively in the context of weakly coupled ...
International audienceThis book offers the first systematic account of canard cycles, an intriguing ...
AbstractBy using the singular perturbation theory developed by Dumortier and Roussarie and recent wo...
The aim of this work is to propose an alternative method for determining the condition of existence ...
Canard cycles are periodic orbits that appear as special solutions of fast-slow systems (or singular...
International audiencehis article deals with slow-fast systems and is, in some sense, a first approa...
AbstractThe paper treats multiple limit cycle bifurcations in singular perturbation problems of plan...
International audienceIn this work, we analyze the existence and stability of canard solutions in a ...
The results gathered in this thesis deal with multiple time scale dynamical systems near non-hyperbo...