Bibliograph. Daten | Avrutin, V.; Schanz, M.: Border-collision period-doubling scenario. In: The American Physical Society (Hrsg): Physical Review E. Vol. 70, 026222, 2004. Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik. S. 1-11, englisch. Thomson ISI, 31. August 2004. DOI: 10.1103/PhysRevE.70.026222. Artikel in Zeitschrift.
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CR-Klassif. | J.2 (Physical Sciences and Engineering) G.1.0 (Numerical Analysis General)
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Keywords | PIECEWISE-SMOOTH SYSTEMS; IMPACT OSCILLATOR; GRAZING BIFURCATIONS; SWITCHING-CIRCUITS; SYMBOLIC DYNAMICS; ATTRACTING CYCLES; MAPS; CHAOS; FRICTION |
Kurzfassung | Using a one-dimensional dynamical system, representing a Poincare return map for dynamical systems of the Lorenz type, we investigate the border-collision period-doubling bifurcation scenario. In contrast to the classical period-doubling scenario, this scenario is formed by a sequence of pairs of bifurcations, whereby each pair consists of a border-collision bifurcation and a pitchfork bifurcation. The characteristic properties of this scenario, like symmetry-breaking and symmetry-recovering as well as emergence of coexisting attractors and noninvariant attractive sets, are investigated.
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Volltext und andere Links | Physical Review E 70, 026222 (2004) [11 pages]
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Copyright | The American Physical Society |
Kontakt | Michael.Schanz@informatik.uni-stuttgart.de |
Abteilung(en) | Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
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Projekt(e) | AnT
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Eingabedatum | 11. April 2005 |
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