Artikel in Tagungsband INPROC-2005-44

Bibliograph.
Daten
Avrutin, V.; Levi, P.; Schanz, M.: Border-Collision induced Bifurcation Phenomena and multi-parametric Bifurcations in a piecewise-quadratic map on the Interval.
In: Proceedings of Fifth EUROMECH Nonlinear Dynamics Conf. (ENOC'2005).
Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik.
S. 1-10, englisch.
Eindhoven, NL: Springer-Verlag, Januar 2005.
Artikel in Tagungsband (Konferenz-Beitrag).
CR-Klassif.G.1.10 (Numerical Analysis Applications)
Kurzfassung

This article describes some bifurcation phenomena, induced by border-collisions in a piecewise--quadratic map on interval representing a special kind of Poincaré return map for dynamical systems of the Lorenz type. It is shown that the structure of the 2D parameter space of this map is dominated by singularities, which we denote as big bang bifurcation points. These bifurcations can be observed only if two parameters are varied simultaneously and cause an infinite number of different periodic dynamics. The investigated system shows an infinite number of the big bang bifurcations, which lead to the complex self-similar structure of the 2D parameter space.

Abteilung(en)Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
Eingabedatum30. Oktober 2005
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