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A procedure for the computation of accurate PWL approximations of non‐linear dynamical systems
Author(s) -
Repetto Lorenzo,
Parodi Mauro,
Storace Marco
Publication year - 2006
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.355
Subject(s) - piecewise linear function , computation , approximations of π , mathematics , linear dynamical system , limit (mathematics) , dynamical systems theory , linear approximation , linear system , implementation , computer science , mathematical optimization , nonlinear system , algorithm , mathematical analysis , physics , quantum mechanics , programming language
In this paper we propose a variational method to find out piecewise‐linear (PWL) approximations of non‐linear dynamical systems in view of their circuit implementations. The method is based on some significant trajectories of the dynamical system and provides reasonably accurate PWL approximations with a relatively low number of parameters. The effectiveness of the method is validated by applying it to the approximation of limit cycles (both stable and unstable) in the Bautin system. Copyright © 2006 John Wiley & Sons, Ltd.