Dynamical Systems with Impulses: Stroboscopic Maps Approach

Citation

Kleczkowski A (1993) Dynamical Systems with Impulses: Stroboscopic Maps Approach. Acta Physica Polonica B, 24 (6), pp. 1061-1071. http://www.actaphys.uj.edu.pl/_old/vol24/abs/v24p1061.htm

Abstract
A stroboscopic maps approach for continuous dynamical systems has been elaborated and generalized. For an impulse perturbation, the map equivalent to a given equation can be found analytically for a large class of systems, in the limit of the impulse width going to 0. This technique can be used for analyzing dynamical systems in which the perturbation has an impulse form, or can be joined with the Generalized Modulated Kicks Approximation to model a system with continuous or noisy perturbation. The validity of a ``naive'' method of finding the map is discussed.

Journal
Acta Physica Polonica B: Volume 24, Issue 6