| Bibliography | Avrutin, V.; Schanz, M.: Border-collision period-doubling scenario.
In: The American Physical Society (ed.): Physical Review E. Vol. 70, 026222, 2004.
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology.
pp. 1-11, english.
Thomson ISI, August 31, 2004.
DOI: 10.1103/PhysRevE.70.026222.
Article in Journal.
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| CR-Schema | 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 |
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| Abstract | 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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Full text and
other links | Physical Review E 70, 026222 (2004) [11 pages]
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| Copyright | The American Physical Society |
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| Contact | Michael.Schanz@informatik.uni-stuttgart.de |
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| Department(s) | University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
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| Project(s) | AnT
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| Entry date | April 11, 2005 |
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