Amplitude death (AD) in hidden attractors is attained with a scheme of linear augmentation. This linear control scheme is capable of stabilizing the system to a fixed point state even when the original system does not have any fixed point. Depending on the control parameter, different routes to AD such as boundary crises and Hopf bifurcation are observed. Lyapunov exponent and amplitude index are used to study the dynamical properties of the system.

Original languageEnglish
Article number1550061
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume25
Issue number4
DOIs
StatePublished - 12 Apr 2015

    Research areas

  • amplitude death, boundary crisis, Hidden attractors, Hopf bifurcation, linear augmentation

    Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

ID: 4003697