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Title: Synchronization states and multistability in a ring of periodic oscillators: Experimentally variable coupling delays

We experimentally study the complex dynamics of a unidirectionally coupled ring of four identical optoelectronic oscillators. The coupling between these systems is time-delayed in the experiment and can be varied over a wide range of delays. We observe that as the coupling delay is varied, the system may show different synchronization states, including complete isochronal synchrony, cluster synchrony, and two splay-phase states. We analyze the stability of these solutions through a master stability function approach, which we show can be effectively applied to all the different states observed in the experiment. Our analysis supports the experimentally observed multistability in the system.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [3] ;  [4] ;  [4]
  1. Department of Physics and Engineering, Washington and Lee University, Lexington, Virginia 24450 (United States)
  2. Department of Mechanical Engineering, University of New Mexico, Albuquerque, New Mexico 87131 (United States)
  3. Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742 (United States)
  4. (United States)
Publication Date:
OSTI Identifier:
22251926
Resource Type:
Journal Article
Resource Relation:
Journal Name: Chaos (Woodbury, N. Y.); Journal Volume: 23; Journal Issue: 4; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLING; FUNCTIONS; MATHEMATICAL SOLUTIONS; PERIODICITY; STABILITY; SYNCHRONIZATION; TIME DELAY