Complete characterization of the stability of cluster synchronization in complex dynamical networks

Author:

Sorrentino Francesco1ORCID,Pecora Louis M.2,Hagerstrom Aaron M.34,Murphy Thomas E.345ORCID,Roy Rajarshi346ORCID

Affiliation:

1. Department of Mechanical Engineering, University of New Mexico, Albuquerque, NM 87131, USA.

2. U.S. Naval Research Laboratory, Washington, DC 20375, USA.

3. Department of Physics, University of Maryland, College Park, MD 20742, USA.

4. Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, MD 20742, USA.

5. Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742, USA.

6. Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742, USA.

Abstract

Group theory and optics predict and test how and when clusters synchronize, merge, and persist in balanced dynamical networks.

Funder

Office of Naval Research

Division of Civil, Mechanical and Manufacturing Innovation

Directorate for Engineering

Office of Naval Research at the Naval Research Laboratory

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

Reference38 articles.

1. C. L. DeMarco J. Wassner in Proceedings of the 4th IEEE Conference on Control Applications Albany NY 28 to 29 September 1995 (IEEE Piscataway NJ 1995) pp. 611–617.

2. Spontaneous synchrony in power-grid networks;Motter A. E.;Nat. Phys.,2013

3. Modulation of Neuronal Interactions Through Neuronal Synchronization

4. The synchronization of chaotic systems;Boccaletti S.;Phys. Rep.,2002

5. Master stability functions for synchronized coupled systems;Pecora L. M.;Phys. Rev. Lett.,1998

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