Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:1-2-2
Session:
Number:1-2-2-1
Structurally stable PWL approximation of a simple dynamical system
Marco Bergami, Federico Bizzarri, Andrea Carlevaro, Marco Storace, Mauro Parodi,
pp.54-57
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
This paper concerns the piecewiselinear (PWL) approximation of the cusp normal form, which is a well-known nonlinear dynamical system. Even if applied to a simple example, the method can be easily generalized and allows one to define a strategy to calculate the optimal coefficients for the PWL approximation. It is possible to choose either an approximation accuracy almost uniform all over the approximation domain, or an approximation particularly accurate in the neighborhoods of significant sets of points (bifurcation curves or invariant sets), or a compromise between these two situations. The numerical results in the considered example confirm the reliability of the proposed approach.