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 para...Show MoreMetadata
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.
Published in: Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.
Date of Conference: 25-28 May 2003
Date Added to IEEE Xplore: 20 June 2003
Print ISBN:0-7803-7761-3