Publication

Preprint

Journal article (peer-reviewed)

1. Y. Kato and H. Kori. "Weakly nonlinear analysis on synchronization and oscillation quenching of coupled mechanical oscillators" Scientific Reports 14, 1461 (2024).  URL , arXiv

We proposed a simple model of coupled mechanical oscillators (e.g. metronomes) and analyzed both synchronization and quenching by performing weakly nonlinear analysis. Numerical bifurcation analyses of out-of-phase synchronization and beat-like solution are also addressed, which are highlighted in Figs. 5 and 6. 

2. Y. Kato and H. Kori. "Synchronization and stability analysis of an exponentially diverging solution in a mathematical model of asymmetrically interacting agents" Chaos 33, 073133 (2023). URL , arXiv

Two unique dynamical features of an existing mathematical model (Nowak & May, J. Theor. Biol., 1992.), synchronized growth rates and damped oscillation, are focused on. We find that both the existence of a slowly-replicating agent and its small itinial value are essential for these features. Another contribution of this paper, we believe, is that we perform an stablity analysis to diverging solutions by applying change of variables and a time-scale separation. 

Presentations

International conferences

• Yusuke Kato and Hiroshi Kori. "Analysis of synchronization and oscillation death of coupled metronomes" STATPHYS28 (the University of Tokyo, Japan),  August 7th, 2023. [Oral presentation]

Domestic conferences

• Yusuke Kato. "Oscillation and synchronization in virus growth induced by asymmetrical interaction with immune system" 22th Young Soft Webiner, virtual, November 21st, 2023. [oral]

• Yusuke Kato and Hiroshi Kori. "Analysis of oscillatory dynamics in mathematical models of (1) virus-immunity system and (ii) metronome" 22nd Kanto Soft Matter Seminar, Tokyo Metropolitan University, October 21st, 2023. [poster presentation]

• Yusuke Kato and Hiroshi Kori. "Synchronization of viral growth rates and oscillatory viral dynamics in a mathematical model of asymmetrically interacting virus and immune cells" 2023 Annual Meeting of the Japan Society for Mathematical Biology, Nara Women's University, September 6th, 2023. [oral presentation]

• Yusuke Kato and Hiroshi Kori. "Weakly nonlinear analysis of synchronization and oscillation death observed in coupled metronomes" The Physical Society of Japan 2023 Spring Meeting, virtual, March 24th, 2023. [oral presentation]

• Yusuke Kato and Hiroshi Kori. "Oscillation and its stability analysis of HIV mathematical model with viral mutation" The Physical Society of Japan 2022 Annual (77th) Meeting, virtual, March 17th, 2022. [oral presentation]

• Yusuke Kato and Hiroshi Kori. "Mathematical analysis of the clinical latency in HIV infection" 2021 Annual Meeting of the Japan Society for Mathematical Biology, virtual, September 15th, 2021. [oral presentation]