Nonlinear Dynamics

, Volume 51, Issue 3, pp 409–427 | Cite as

Computation of focus values with applications

Original Paper
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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.

Keywords

Focus value Stability Limit cycle Hilbert’s 16th problem Symbolic computation 
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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Department of Applied MathematicsUniversity of Western OntarioLondonCanada
  2. 2.Department of Electronic EngineeringCity University of Hong KongHong KongChina

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