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We define a class of three-dimensional differential equations which might present strange attractors of a new kind. This is illustrated by numerical observations on an explicit example.
Abstract This paper describes phenomena which arise in a continuous system of coupled oscillators subject to a strongly resonant forcing. We show that the temporal forcing induces a new type of… Continue Reading
Abstract We present a large class of simple differential systems which allow to study some aspects of the transition to stochasticity. These systems describe a particle, in a harmonic potential,… Continue Reading
Abstract It is proved that the stochastic normal form of a general system undergoing a Hopf bifurcation contains through stochastic resonance new types of terms which did not appear in the… Continue Reading
Abstract The competition between external and internal length scales is studied theoretically on a two-dimensional amplitude evolution model of a fluid layer heated from below. A spatially-periodic… Continue Reading
The aim of this paper is to review some of the mechanisms which leads to stable localized patterns in nonequilibrium systems.
Abstract We construct one-parameter families of three-dimensional flows which present a transition to chaotic behaviour with strange attractors via a cascade involving bifurcations of stable… Continue Reading
The dynamics of a damped pendulum driven by a constant torque is studied experimentally and theoretically. We use this simple device to demonstrate some generic dynamical behavior including the loss… Continue Reading
Surface waves on a stationary flow of water are considered in a linear model that includes the surface tension of the fluid. The resulting gravity-capillary waves experience a rich array of horizon… Continue Reading