Super persistent transient in a master-slave configuration with Colpitts oscillators

R. C. Bonetti*, S. L. T. de Souza, A. M. Batista, J. D. Szezech, I. L. Caldas, R. L. Viana, S. R. Lopes, M. S. Baptista

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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.

Original languageEnglish
Article number405101
Number of pages12
JournalJournal of Physics. A, Mathematical and theoretical
Issue number40
Publication statusPublished - 10 Oct 2014


  • Colpitts
  • synchronisation
  • master-slave
  • chaotic transients
  • synchronization
  • systems
  • noise
  • bifurcations
  • media
  • order


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