Codimension-three bifurcations: explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps.

Codimension-three bifurcations: explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps. Research Abstract Details 

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Codimension-three bifurcations: explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps. Abstract Text:

Viktor Avrutin,Michael Schanz,Soumitro Banerjee,Viktor Avrutin,Michael Schanz,Soumitro Banerjee,

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.

Codimension-three bifurcations: explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps. Publishing Authors By Initials

V Avrutin,M Schanz,S Banerjee,V Avrutin,M Schanz,S Banerjee,

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Codimension-three bifurcations: explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps. Journal Published:

PUBLICATION TYPE: Journal Article

Journal: Physical review. E, Statistical, nonlinear, and so

VOLUME: 75

Page Numbers: 066205

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ISSN: 1539-3755

DAY: 8

MONTH: 06

YEAR: 2007

Codimension-three bifurcations: explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps. Information

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LANGUAGE: eng

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Grant and Affiliation Information for Codimension-three bifurcations: explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps.

AFFILIATION: IPVS, University of Stuttgart, Universitätstrasse 38, 70569 Stuttgart, Germany.

Country: United States

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MEDLINETA: Phys Rev E Stat Nonlin Soft Ma

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