Computation of focus values with applications

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)409-427
Journal / PublicationNonlinear Dynamics
Volume51
Issue number3
Publication statusPublished - Feb 2008

Abstract

Computation of focus (or focal) values for nonlinear dynamical systems is not only important in theoretical study, but also useful in applications. In this paper, we compare three typical methods for computing focus values, and give a comparison among these methods. Then, we apply these methods to study two practical problems and Hilbert's 16th problem. We show that these different methods have the same computational complexity. Finally, we discuss the "minimal singular point value" problem. © 2007 Springer Science+Business Media, Inc.

Research Area(s)

  • Focus value, Hilbert's 16th problem, Limit cycle, Stability, Symbolic computation

Citation Format(s)

Computation of focus values with applications. / Yu, Pei; Chen, Guanrong.
In: Nonlinear Dynamics, Vol. 51, No. 3, 02.2008, p. 409-427.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review