ANIMATED PHASE PORTRAITS OF NONLINEAR AND CHAOTIC DYNAMICAL SYSTEMS

Jean-Marc Ginoux (1)

1 PROTEE - Processus de Transfert et d'Echanges dans l'Environnement - EA 3819

The aim of this section is to present programs allowing to high- light the slow-fast evolution of the solutions of nonlinear and chaotic dynamical systems such as: Van der Pol, Chua and Lorenz models. These programs provide animated phase portraits in dimension two and three, i.e. integration step by step" which are useful tools enabling to understand the dynamic of such systems.

Mots clés: MatLab; Animated phase portraits

Domaines: Systèmes dynamiques [math.DS]

Jean-Marc Ginoux. ANIMATED PHASE PORTRAITS OF NONLINEAR AND CHAOTIC DYNAMICAL SYSTEMS. A.H. Siddiqi, Pammy Manchada, M. Brokate. Calculus with Applications, I K International Publishing House Pvt. Ltd, pp.523-529, 2011, 9381141320. ⟨hal-01056182⟩