Enhancing the stability of the synchronization of multivariable coupled oscillators Articles uri icon

authors

  • Sevilla-Escoboza, R.
  • GUTIERREZ DIEZ, RICARDO
  • Huerta-Cuellar, G.
  • Boccaletti, S.
  • Gómez-Gardeñes, J.
  • Arenas, A.
  • Buldú, J.M.

publication date

  • September 2015

start page

  • 032804-1

end page

  • 032804-7

issue

  • 3

volume

  • 92

International Standard Serial Number (ISSN)

  • 1539-3755

Electronic International Standard Serial Number (EISSN)

  • 1539-3755

abstract

  • Synchronization processes in populations of identical networked oscillators are the focus of intense studies in physical, biological, technological, and social systems. Here we analyze the stability of the synchronization of a network of oscillators coupled through different variables. Under the assumption of an equal topology of connections for all variables, the master stability function formalism allows assessing and quantifying the stability properties of the synchronization manifold when the coupling is transferred from one variable to another. We report on the existence of an optimal coupling transference that maximizes the stability of the synchronous state in a network of Rössler-like oscillators. Finally, we design an experimental implementation (using nonlinear electronic circuits) which grounds the robustness of the theoretical predictions against parameter mismatches, as well as against intrinsic noise of the system.

subjects

  • Mathematics

keywords