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Experimental mastering of nonlinear dynamics in circuits by sporadic pulses

AuthorsRuiz Valls, Pablo ; Gutiérrez, José M. ; Güémez, J.
Issue Date2008
CitationChaos, Solitons and Fractals 36(3): 635-645 (2008)
AbstractWe present some experimental evidence of mastering chaos (control and anticontrol) in nonlinear circuits using a simple impulsive method which does not require any knowledge about the system's dynamics. The method works by introducing instantaneous pulses in some system variables-in this paper the pulses are applied to a capacitor voltage-and, hence, is an additional plug-in that does not modify the system itself. When varying the mastering parameters (amplitude and frequency of pulses) we obtain a bifurcation structure similar to the one obtained when varying some system's parameters. Therefore, this device allows us investigating the dynamics of a given circuit providing us with a versatile component for performing both control or anticontrol of chaos. In particular, we show how a double-scroll chaotic system is stabilized in period three, single-scroll, period-4, period-2, period-1, fixed point, following an inverse bifurcation route as a function of the pulses amplitude (chaos control). It is also shown how a periodic Chua's circuit is driven to chaotic behavior (chaos anticontrol). © 2006 Elsevier Ltd. All rights reserved.
Identifiersdoi: 10.1016/j.chaos.2006.06.095
issn: 0960-0779
Appears in Collections:(IFCA) Artículos
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