2014
DOI: 10.1088/1751-8113/47/40/405101
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Super persistent transient in a master–slave configuration with Colpitts oscillators

Abstract: Abstract. Master-slave systems have been intensively investigated to model the application of chaos to communications. We considered Colpitts oscillators coupled according to a master-slave configuration to study chaos synchronisation. We revealed the existence of super persistent transients in this coupled system. Moreover, we showed that an additive noise added to the slave system may suppress chaos synchronisation. When synchronisation is not suppressed, the noise induces longer transients.

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Cited by 6 publications
(1 citation statement)
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“…has been derivetave as novel exact formula. This new exact formula is derived and used in this paper for removing the ambiguite that why ther are different results appear between theortical, simulation and practical implementation many present article such as [17][18][19]. Still use approximate formula of natural frequency (f o = √ ) of Collpits oscillator as exact formula.…”
Section: Introductionmentioning
confidence: 99%
“…has been derivetave as novel exact formula. This new exact formula is derived and used in this paper for removing the ambiguite that why ther are different results appear between theortical, simulation and practical implementation many present article such as [17][18][19]. Still use approximate formula of natural frequency (f o = √ ) of Collpits oscillator as exact formula.…”
Section: Introductionmentioning
confidence: 99%