Synchronization and Stabilization of Chaotic Dynamics in a Quasi-1D Bose-Einstein Condensate | Zendy

Babatunde A. Idowu | Zendy; U. E. Vincent | Zendy

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Synchronization and Stabilization of Chaotic Dynamics in a Quasi-1D Bose-Einstein Condensate

Author(s) -

Babatunde A. Idowu,

U. E. Vincent

Publication year - 2013

Publication title -

journal of chaos

Language(s) - English

Resource type - Journals

eISSN - 2356-7228

pISSN - 2314-6605

DOI - 10.1155/2013/723581

Subject(s) - control theory (sociology) , chaotic , synchronization (alternating current) , lyapunov stability , synchronization of chaos , controller (irrigation) , nonlinear system , stability (learning theory) , oscillation (cell signaling) , state (computer science) , bose–einstein condensate , physics , computer science , statistical physics , mathematics , control (management) , topology (electrical circuits) , quantum mechanics , algorithm , genetics , combinatorics , artificial intelligence , machine learning , agronomy , biology

A nonlinear control is proposed for the exponential stabilization and synchronization of chaotic behaviour in a model of Bose-Einstein condensate (BEC). The active control technique is designed based on Lyapunov stability theory and Routh-Hurwitz criteria. The control design approach in both cases guarantees the stability of the controlled states. Whereas the synchronization of two identical BEC in their chaotic states can be realized using the scheme; a suitable controller is also capable of driving the otherwise chaotic oscillation to a stable state which could be expected in practice. The effectiveness of this technique is theoretically and numerically demonstrated

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