Computation of focus values with applications |
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| Authors: | Pei Yu Guanrong Chen |
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| Affiliation: | (1) Department of Applied Mathematics, University of Western Ontario, London, Ontario, N6A 5B7, Canada;(2) Department of Electronic Engineering, City University of Hong Kong, Hong Kong, SAR, China |
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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. |
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| Keywords: | Focus value Stability Limit cycle Hilbert’ s 16th problem Symbolic computation |
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