SUR LA POSSIBILITÉ D'UTILISER LE SCÉNARIO FEIGENBAUM
POUR MODÉLISER CERTAINS PHÉNOMÈNES GÉODYNAMIQUES

FLORIN MUNTEANU, DOREL ZUGRAVESCU, CRISTIAN IOANA, CRISTIAN SUTEANU
Académie Roumaine, Institut de Géodynamique, Bucarest

The paper emphasizes the possibility to study complex nonlinear phenomena, like those which are common in geodynamics, with the help of a new type of models. The Feigenbaum scenario for transition to chaos is chosen as a working example. New results are reported, obtained by introducing convergence speed maps. These maps offer the possibility to distinguish specific patterns, which may be used as precursors for crucial events: they announce bifurcation in a process with growing values of the control parameter. Implications for systems modeling are discussed.


Mots-clé: systèmes géophysiques non-linéaires, bifurcation, chaos, précurseurs, cartes de vitesse de convérgence.