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Zbl 1133.34304
Cervantes, I.; Femat, R.; Leyva-Ramos, J.
Study of a class of hybrid-time systems. (English)
[J] Chaos Solitons Fractals 32, No. 3, 1081-1095 (2007). ISSN 0960-0779

Summary: The aim of this paper is to study the dynamic behavior of a class of hybrid-time systems. In particular, we concern about switched systems constituted by two linear second order systems with a time varying (sinusoidal type) translation term. By means of numerical simulations, system behavior and its relation to system parameters are studied. It is shown that system eigenvalues play a crucial role in the time evolution of the system leading either to regular behavior, oscillatory patterns or intermittent erratic-periodic behavior. Furthermore, it is shown that under certain conditions, presumable fractal structures can be obtained.

MSC 2000:: *34A36 Discontinuous equations
34D05 Asymptotic stability of ODE
34C28 Other types of "recurrent" solutions of ODE

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Zentralblatt MATH Berlin [Germany]