PWL approximation of dynamical systems: an example

Author

Storace, Marco ; De Feo, Oscar

Author_Institution

Biophys. & Electron. Eng. Dept., Univ. of Genoa, Genova, Italy

Volume

3

fYear

2003

fDate

25-28 May 2003

Abstract

The piecewise-linear approximation technique developed by Julian et al. (1999-2002) is applied to dynamical systems dependent on given numbers of state variables and parameters. Referring to a particular example, i.e., the two-dimensional Bautin equation, it is shown that an accurately approximated dynamical system preserves both the dynamical (trajectories) and the structural-stability (bifurcations) arrangements of the original system. In particular, if the approximation accuracy increases, the equivalence between approximating and approximated systems shifts from qualitative to quantitative.

Keywords

bifurcation; continuous time systems; nonlinear dynamical systems; nonlinear network analysis; piecewise linear techniques; analog circuit realization; approximation accuracy; bifurcations; continuous-time dynamical systems; dynamical arrangements; piecewise-linear approximation technique; polynomial normal form; state variables; structural-stability arrangements; trajectories; two-dimensional Bautin equation; Approximation methods; Bifurcation; Circuits; Eigenvalues and eigenfunctions; Equations; Limit-cycles; Packaging; Polynomials; Resistors; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on

Print_ISBN

0-7803-7761-3

Type

conf

DOI

10.1109/ISCAS.2003.1205104

Filename

1205104