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原文連結
論文資訊
- 類型：已發表論文
- 日期：2015-11-01
摘要
An important challenge in several disciplines is to understand how sudden changes can propagate among coupled systems. Examples include the 同步化 of business cycles, 族群 collapse in patchy ecosystems, markets shifting to a new technology platform, collapses in prices and in confidence in financial markets, and protests erupting in multiple countries. A number of 數學 models of these phenomena have multiple equilibria separated by saddle-node 分岔s. We study this behaviour in its normal form as fast-slow ordinary differential equations. In our model, a system consists of multiple subsystems, such as countries in the global economy or patches of an ecosystem. Each subsystem is described by a scalar quantity, such as 經濟 output or 族群, that undergoes sudden changes via saddle-node 分岔s. The subsystems
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