2014/05/01 by R. C. Bonetti, Robson Conrado Bonetti, S. L. T. de Souza +12
Computer Science · Physics and Astronomy · #Bifurcation #CHAOS (operating system) #Channel (broadcasting) #Chaos control and synchronization #Chaotic #Colpitts oscillator #Computer science #Control theory (sociology) #Noise (video) #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Phase noise #Physics #Statistical physics #Synchronization (alternating current) #Synchronization of chaos #Telecommunications #Transient (computer programming) #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1751-8113/47/40/405101
arxiv created 2014/05/01 · openalex publication_date 2014/09/23 · arxiv updated 2015/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Master–slave systems have been intensively investigated for modelling the application of chaos in communications. We considered Colpitts oscillators coupled according to a master–slave configuration in order to study chaos synchronization. We revealed the existence of superpersistent transients in this coupled system. The transient is a ubiquitous phenomenon in nonlinear dynamical systems, and it is responsible for important physical phenomena. We characterized superpersistent transients through a scaling law for their average lifetime. Unstable–unstable pair bifurcation has been identified as the generic mechanism for these transients. Moreover, we showed that an additive noise, added to the slave system, may suppress the chaos synchronization. Our results show that synchronization can be achieved for higher coupling strength when there is noise. However, the noise may induce a longer transient if the synchronization is not suppressed.