一个由指数不稳定平衡组成的全局吸引子

2013 American Control Conference Pub Date : 2013-06-17 DOI:10.1109/ACC.2013.6580590

R. Freeman

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引用次数: 12

摘要

文献中存在仅由不稳定平衡组成的吸引子的例子，但在这些例子中，不稳定平衡不是指数不稳定的(不稳定平衡处的向量场的微分在开放的右半复平面上没有特征值)。本文给出了一个系统的紧致全局吸引子仅由指数不稳定平衡点组成的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A global attractor consisting of exponentially unstable equilibria

There exist examples in the literature of attractors consisting solely of unstable equilibria, but in these examples, the unstable equilibria are not exponentially unstable (the differentials of the vector fields at the unstable equilibria have no eigenvalues in the open right-half complex plane). In this paper we provide an example of a system having a compact global attractor consisting solely of exponentially unstable equilibria.

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2013 American Control Conference

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