Mean-field theory for double-well systems on degree-heterogeneous networks

Prosenjit Kundu, Neil G. Maclaren, Hiroshi Kori, Naoki Masuda*


研究成果: Article査読


Many complex dynamical systems in the real world, including ecological, climate, financial and power-grid systems, often show critical transitions, or tipping points, in which the system's dynamics suddenly transit into a qualitatively different state. In mathematical models, tipping points happen as a control parameter gradually changes and crosses a certain threshold. Tipping elements in such systems may interact with each other as a network, and understanding the behaviour of interacting tipping elements is a challenge because of the high dimensionality originating from the network. Here, we develop a degree-based mean-field theory for a prototypical double-well system coupled on a network with the aim of understanding coupled tipping dynamics with a low-dimensional description. The method approximates both the onset of the tipping point and the position of equilibria with a reasonable accuracy. Based on the developed theory and numerical simulations, we also provide evidence for multistage tipping point transitions in networks of double-well systems.

ジャーナルProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
出版ステータスPublished - 2022 8月 31

ASJC Scopus subject areas

  • 数学 (全般)
  • 工学(全般)
  • 物理学および天文学(全般)


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