Jain R, Sharma J, Tiwari I, Gadre SD, Kumarasamy S, Parmananda P, Prasad A. In-phase and mixed-phase measure synchronization of camphor rotors.
Phys Rev E 2023;
108:024217. [PMID:
37723774 DOI:
10.1103/physreve.108.024217]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/22/2023] [Accepted: 08/03/2023] [Indexed: 09/20/2023]
Abstract
The numerical, analytical, and experimental analyses are presented for synchronizing two rotors under the Yukawa interaction. We report that the rotors exhibit in-phase and mixed-phase measure synchronizations for a pair of coupled rotors. Here, the analytical condition for synchronization is derived, tested numerically, and confirmed experimentally using coupled camphor infused rotors as a test bed. Moreover, the concept of measure synchronization is discussed. We report that, in conservative systems, not only the critical coupling parameter but initial conditions also play an essential role for estimating the measure synchronization region.
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