Phase effects on synchronization by dynamical relaying in delay-coupled systems | Zendy

R. N. Chitra | Zendy; V. C. Kuriakose | Zendy

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Phase effects on synchronization by dynamical relaying in delay-coupled systems

Author(s) -

R. N. Chitra,

V. C. Kuriakose

Publication year - 2008

Publication title -

chaos an interdisciplinary journal of nonlinear science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.971

H-Index - 113

eISSN - 1089-7682

pISSN - 1054-1500

DOI - 10.1063/1.2938523

Subject(s) - synchronization (alternating current) , coupling (piping) , control theory (sociology) , lyapunov exponent , manifold (fluid mechanics) , physics , function (biology) , phase (matter) , constant (computer programming) , josephson effect , phase synchronization , topology (electrical circuits) , mathematics , computer science , quantum mechanics , nonlinear system , engineering , superconductivity , mechanical engineering , control (management) , combinatorics , artificial intelligence , evolutionary biology , biology , programming language

Synchronization in an array of mutually coupled systems with a finitetime-delay in coupling is studied using Josephson junction as a model system.The sum of the transverse Lyapunov exponents is evaluated as a function of theparameters by linearizing the equation about the synchronization manifold. Thedependence of synchronization on damping parameter, coupling constant andtime-delay is studied numerically. The change in the dynamics of the system dueto time-delay and phase difference between the applied fields is studied. Thecase where a small frequency detuning between the applied fields is alsodiscussed.

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