PWL approximation of dynamical systems: an example

The piecewise-linear approximation technique developed by Juli´an et al. in the past few years 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.

• Type: Conference
• Year: 2003
• Where: ISCAS
• Authors: Marco Storace, Oscar De Feo
• Keywords: Dynamical System, ISCAS 2003, Juli´an Et Al, Piecewise-linear Approximation Technique