Computation of focus values with applications
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 409-427 |
| Journal / Publication | Nonlinear Dynamics |
| Volume | 51 |
| Issue number | 3 |
| Publication status | Published - Feb 2008 |
Link(s)
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.
In: Nonlinear Dynamics, Vol. 51, No. 3, 02.2008, p. 409-427.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
