Numerical approximations of a class of switch dynamical systems

Marius-F. Danca

Chaos, Solitons & Fractals, 2008, vol. 38, issue 1, 184-191

Abstract: The problem of numerically approximating a class of dynamical systems with discontinuous state variables by forward Euler method for differential inclusions, viewed as dynamical systems, is discussed in this paper. It is shown that such discontinuous initial value problems may be transformed into set-valued problems and then approximated by special numerical methods for differential inclusions which may be viewed as (ideally continuous) dynamical systems.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:1:p:184-191

DOI: 10.1016/j.chaos.2006.11.003

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