Title: PWL approximation of dynamical systems: an example
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 particu...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.Read More
Publication Year: 2003
Publication Date: 2003-12-22
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 3
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