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Collective dynamics in multi-population Hamiltonian systems

  • Original Paper - General, Mathematical and Statistical Physics
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Abstract

In this paper, we investigate measure synchronization (MS) in a two-population network of coupled metronomes system. The system consists of N identical metronomes placed on two swing boards, and the two swings are connected by spring of stiffness k. Metronomes on each swing represents a single population. We mainly study the collective dynamics of multi-population Hamiltonian induced by increased couplings, including inter-population and intra-population couplings. It is found that by tuning K for the inter-population coupling intensity and R for the intra-population coupling intensity, the system reaches various MS states at certain critical coupling intensities, including partial MS and complete MS. The occurrence of partial and complete MS are discussed particularly by analyzing the Poincaré sections of the Hamiltonian system. In addition, we find correspondence in between the phase-locking dynamics and various MS transitions.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11791240559, 11611540330, 11402199), the Natural Science Foundation of Shaanxi Province (Grant Nos. 2022JM-004, 2018JM1050).

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Authors and Affiliations

  1. School of Science, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China

    Jing Tian, Jiaqi Ying, Tianli Qiao & Haibo Qiu

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  1. Jing Tian
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  2. Jiaqi Ying
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  4. Haibo Qiu
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Correspondence to Jing Tian.

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Tian, J., Ying, J., Qiao, T. et al. Collective dynamics in multi-population Hamiltonian systems. J. Korean Phys. Soc. 82, 1141–1149 (2023). https://doi.org/10.1007/s40042-023-00785-y

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  • DOI: https://doi.org/10.1007/s40042-023-00785-y

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