Research on coupled synchronization of Duffing circuit network
Qingtao Wei,
Ling Lü and
Hao Jia
Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 247-255
Abstract:
We research the synchronization problem of complex network composed of N Duffing circuits. Firstly, we theoretically fit the synchronization experiment between a Duffing circuit and another Duffing circuit driven by linear coupling, and get the results consistent with the experiment. Furthermore, the synchronization technology between two Duffing circuits is extended to the synchronization of complex network composed of N Duffing circuits. Based on the stability theorem, the conditions for realizing network synchronization are determined by calculating the Lyapunov exponent of each response Duffing circuit system. Finally, the correctness of the theoretical analysis is verified by simulation.
Keywords: Synchronization; Network; Duffing circuit; Lyapunov exponent (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:247-255
DOI: 10.1016/j.physa.2019.03.060
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