https://univ-tln.hal.science/hal-01056202Ginoux, Jean-MarcJean-MarcGinouxPROTEE - Processus de Transfert et d'Echanges dans l'Environnement - EA 3819 - UTLN - Université de ToulonLetellier, ChristopheChristopheLetellierFlow curvature manifolds for shaping chaotic attractors: Rossler-like systemsHAL CCSD2009Chaos topologyFlow curvature manifold[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Ginoux, Jean-Marc2014-08-18 09:31:322019-02-07 16:49:592014-08-18 09:52:55enJournal articleshttps://univ-tln.hal.science/hal-01056202/document10.1088/1751-8113/42/28/285101application/pdf1Poincaré recognized that phase portraits are mainly structured around fixed points. Nevertheless, the knowledge of fixed points and their properties is not sufficient to determine the whole structure of chaotic attractors. In order to understand how chaotic attractors are shaped by singular sets of the differential equations governing the dynamics, flow curvature manifolds are computed. We show that the time dependent components of such manifolds structure Rossler-like chaotic attractors and may explain some limitation in the development of chaotic regimes.