Classification of Bifurcations for Nonlinear Dynamical Problems With Constraints

WU Zhi-qiang; CHEN Yu-shu

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WU Zhi-qiang, CHEN Yu-shu. Classification of Bifurcations for Nonlinear Dynamical Problems With Constraints[J]. Applied Mathematics and Mechanics, 2002, 23(5): 477-482.

Citation:

WU Zhi-qiang, CHEN Yu-shu. Classification of Bifurcations for Nonlinear Dynamical Problems With Constraints[J]. Applied Mathematics and Mechanics, 2002, 23(5): 477-482.

Citation:

WU Zhi-qiang, CHEN Yu-shu. Classification of Bifurcations for Nonlinear Dynamical Problems With Constraints[J]. Applied Mathematics and Mechanics, 2002, 23(5): 477-482.

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Classification of Bifurcations for Nonlinear Dynamical Problems With Constraints

Department of Mechanics, Tianjin University, Tianjin 300072, P R China

Received Date: 2001-06-22
Rev Recd Date: 2002-01-28
Publish Date: 2002-05-15

Abstract

Abstract

Bifurcation of periodic solutions widely existed in nonlinear dynamical systems is a kind of constrained one in intrinsic quality because its amplitude is always non-negative.Classification of the bifurcations with the type of constraint was discussed.All its six types of transition sets are derived,in which three types are newly found and a method is proposed for analyzing the constrained bifurcation.
- constraint,
- bifurcation,
- singularity,
- nonlinear dynamical problem

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References(12)

References

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