direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Es gibt keine deutsche Übersetzung dieser Webseite.

Discrete Lorenz attractors in homoclinic bifurcations

Abstract:

Bifurcations of homoclinic tangencies in three-dimensional maps give rise to various dynamical phenomena. However, in order to obtain three-dimensional chaotic behavior under the breakup of a homoclinic tangency, one needs a special setup, preventing from the existence of two- and one-dimensional center manifolds. First of all, the Jacobian at the saddle should be equal to one. The list of possible second required conditions include resonant saddles, saddle focuses and non-simple homoclinic tangencies. In the talk I will give an overview of all these cases and demonstrate the proof of the birth of Lorenz attractors in them.

Zusatzinformationen / Extras

Direktzugang:

Schnellnavigation zur Seite über Nummerneingabe

Copyright TU Berlin 2008