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Title: How to induce multiple delays in coupled chaotic oscillators?

Lag synchronization is a basic phenomenon in mismatched coupled systems, delay coupled systems, and time-delayed systems. It is characterized by a lag configuration that identifies a unique time shift between all pairs of similar state variables of the coupled systems. In this report, an attempt is made how to induce multiple lag configurations in coupled systems when different pairs of state variables attain different time shift. A design of coupling is presented to realize this multiple lag synchronization. Numerical illustration is given using examples of the Rössler system and the slow-fast Hindmarsh-Rose neuron model. The multiple lag scenario is physically realized in an electronic circuit of two Sprott systems.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [5] ;  [6] ;  [1]
  1. CSIR-Indian Institute of Chemical Biology, Jadavpur, Kolkata 700032 (India)
  2. (India)
  3. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108 (India)
  4. Department of Physics, Presidency University, Kolkata 700073 (India)
  5. Potsdam Institute for Climate Impact Research, 14473 Potsdam (Germany)
  6. (Germany)
Publication Date:
OSTI Identifier:
22251962
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; CHAOS THEORY; CONFIGURATION; COUPLING; ELECTRONIC CIRCUITS; NERVE CELLS; SYNCHRONIZATION; TIME DELAY