Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 16, Issue 12, Pages 4704-4717Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2011.01.028
Keywords
Duffing oscillator; Controlled pendulum; Synchronization; Full synchronization; Partial synchronization; Synchronization vanishing; Synchronization appearance; Synchronization onset
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In this paper, the chaotic synchronization of the Duffing oscillator and controlled pendulum is investigated. From the analytical conditions developed in In the partial and full synchronizations of the controlled pendulum with chaotic motions in the Duffing oscillator are discussed. Compared with the periodic synchronization, in the chaotic synchronization, switching points for appearance and vanishing of the partial synchronization are chaotic. The control parameter map for the synchronization is developed from the analytical conditions, and the partial and full synchronizations are illustrated to show the analytical conditions. This synchronization is different from the controlled Duffing oscillator synchronizing with chaotic motion in the periodically excited pendulum. For a better understanding of synchronization characteristics between two different dynamical systems, effects with other parameters will be discussed later. (C) 2011 Elsevier B.V. All rights reserved.
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