Saddle-point solutions and grazing bifurcations in an impacting system

Saddle-point solutions and grazing bifurcations in an impacting system

This paper focuses on the intricate relationship between smooth and nonsmooth phenomena in an impacting system. In particular a boundary saddle-point solution, that is born in a nonsmooth fold, is analysed. Accessible boundary saddle-point solutions play a key role in determining the global dynamics...

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Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2012-03, Vol.22 (1), p.013106-013106-6
Hauptverfasser: Mason, Joanna F., Piiroinen, Petri T.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Computer Simulation
Nonlinear Dynamics
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Beschreibung
Zusammenfassung:This paper focuses on the intricate relationship between smooth and nonsmooth phenomena in an impacting system. In particular a boundary saddle-point solution, that is born in a nonsmooth fold, is analysed. Accessible boundary saddle-point solutions play a key role in determining the global dynamics of a system and here we will show how grazing bifurcations can affect their existence.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.3673786