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原文連結
論文資訊
- 類型：已發表論文
- 日期：2025-11-01
摘要
Catastrophes are present across many disciplines, ranging from the extinction of 族群s in ecosystems to the collapse of prices in financial systems. Here, we focus on how interactions between systems influence these catastrophes. Specifically, we study two bidirectionally coupled sub-systems—each of which possesses an S-shaped 分岔 curve with saddle-node 分岔s—and explore how interactions between them can lead to simultaneous 分岔s. There are four types of such coupled catastrophes: 同步化, anti-同步化, consensus, and anti-consensus. Which of these behaviors manifests depends both on the intrinsic dynamics of the subsystems and ways in which they are coupled. In general, there are three possible coupling classes: 合作, competition, and predation. We develop an analytic/graphical methodology to determine a
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