title: Synchronization of intermittent behavior in ensembles of multistable dynamical systems.
abstract: We propose a methodology to analyze synchronization in an ensemble of diffusively coupled multistable systems. First, we study how two bidirectionally coupled multistable oscillators synchronize and demonstrate the high complexity of the basins of attraction of coexisting synchronous states. Then, we propose the use of the master stability function (MSF) for multistable systems to describe synchronizability, even during intermittent behavior, of a network of multistable oscillators, regardless of both the number of coupled oscillators and the interaction structure. In particular, we show that a network of multistable elements is synchronizable for a given range of topology spectra and coupling strengths, irrespective of specific attractor dynamics to which different oscillators are locked, and even in the presence of intermittency. Finally, we experimentally demonstrate the feasibility and robustness of the MSF approach with a network of multistable electronic circuits.
authors: Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de Leon, Paseos de la Montaña, Lagos de Moreno, Jalisco 47460, Mexico.
authors: R
authors: R
authors: Sevilla-Escoboza
authors: Laboratory of Biological Networks, Center for Biomedical Technology, Technical University of Madrid, Pozuelo de Alarcón, 28223 Madrid, Spain.|Complex Systems Group, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain.
authors: J M
authors: JM
authors: Buldú
authors: Computational Systems Biology Group, Center for Biomedical Technology, Technical University of Madrid, Pozuelo de Alarcón, 28223 Madrid, Spain.|Centro de Investigaciones en Optica, Loma del Bosque 115, 37150 Leon, Guanajuato, Mexico.
authors: A N
authors: AN
authors: Pisarchik
authors: CNR-Istituto dei Sistemi Complessi, Via Madonna del Piano, 10, 50019 Sesto Fiorentino, Italy.|The Italian Embassy in Israel, 25 Hamered Street, 68125 Tel Aviv, Israel.
authors: S
authors: S
authors: Boccaletti
authors: Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.
authors: R
authors: R
authors: Gutiérrez
mesh_terms: D017711:Nonlinear Dynamics