Aktuelle Lage
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- Erster Vorlesungstermin: 22.04.2020
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Vorlesungsinhalt
- Why piecewise smooth systems? Application areas.
- Types of piecewise smooth systems. Continuous and discontinuous maps.
- Invariant sets in piecewise smooth maps.
- Bifurcations in piecewise smooth systems. Border collisions. Homoclinic bifurcations. Bifurcations of chaotic attractors.
- Bifurcation structures in continuous maps: skew tent scenario. Bifurcation structures in discontinuous maps: period and bandcount adding
Literatur
- Viktor Avrutin, Laura Gardini, Iryna Sushko, Fabio Tramontana, Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps: Invariant Sets and Bifurcation Structures, (World Scientific Series on Nonlinear Science Series A Book 95), 2019
- Mario di Bernardo, Chris Budd, Alan Champneys and Piotr Kowalczyk; Piecewise-smooth Dynamical Systems: Theory and Applications, Springer, 2008
- J. Argyris, G. Faust, M. Haase, R. Friedrich, Die Erforschung des Chaos (Eine Einführung in die Theorie nichtlinearer Systeme) 1. Auflage - Vieweg, 1994; 3., erw. u. aktualisierte Auflage Springer 2017
Prüfung
Mündliche Prüfung, Termine nach Vereinbarung
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