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• W1970311793 abstract "Many physical and engineering 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 type of codimension-three 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." @default.
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• W1970311793 date "2007-06-08" @default.
• W1970311793 modified "2023-09-26" @default.
• W1970311793 title "Codimension-three bifurcations: Explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps" @default.
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• W1970311793 doi "https://doi.org/10.1103/physreve.75.066205" @default.
• W1970311793 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17677338" @default.
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