| Bibliography | Avrutin, Viktor; Schanz, Michael; Banerjee, Soumitro: Codimension-3 bifurcations: Explanation of the complex 1-, 2- and 3D bifurcation structures in nonsmooth maps.
In: Physical Review E. Vol. 75(6).
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology.
pp. 1-7, english.
American Physical Society (APS), June 2007.
DOI: 10.1103/PhysRevE.75.066205.
Article in Journal.
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| CR-Schema | J.2 (Physical Sciences and Engineering)
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| Keywords | discontinuity induced bifurcations; big bang bifurcations; period adding; period increment |
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| Abstract | Many physical and engineerings systems exhibit cascades of periodic attractors arranged in period increment and period adding sequences as a parameter is varied. Such systems have been found to yield piecewise smooth maps, and in some cases the obtained map is discontinuous. By investigating the normal form of such maps, we have detected a new type of codimension-3 bifurcation which serves as the organizing center of periodic and aperiodic dynamics in the parameter space. The results will help in understanding the occurrence and structure of such cascades observed in many nonsmooth systems in science and engineering.
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Full text and
other links | Phys. Rev. E 75 066205 (2007) [7 pages]
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| Contact | Viktor.Avrutin@informatik.uni-stuttgart.de 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 | June 12, 2007 |
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