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Numerical approximations of a class of switch dynamical systems

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Marius-F. Danca

Editorial: Elsevier, Chaos, Solitons & Fractals, 38, p.184–191, 2008.


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.

Cuvinte cheie: switch dynamical systems