Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint | Zendy

Xiaohui Sun | Zendy; Xilin Fu | Zendy

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Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint

Author(s) -

Xiaohui Sun,

Xilin Fu

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/341635

Subject(s) - van der pol oscillator , synchronization (alternating current) , constraint (computer aided design) , pendulum , control theory (sociology) , mathematics , dynamical systems theory , computer science , physics , topology (electrical circuits) , nonlinear system , control (management) , geometry , quantum mechanics , combinatorics , artificial intelligence

This paper discusses the synchronization of the Van der Pol equation with a pendulum under the sinusoidal constraint through the theory of discontinuous dynamical systems. The analytical conditions for the sinusoidal synchronization of the Van der Pol equation with a periodically forced pendulum are developed. With the conditions, the sinusoidal synchronizations of the two systems are discussed. Switching points for appearance and vanishing of the partial synchronization are developed

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