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Lyapunov Exponents and Uniform Weak Normally Repelling Invariant Sets

机译：Lyapunov指数和一致弱的常斥斥不变集

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摘要

Let M be a compact invariant set contained in a boundary hyperplane of the positive orthant of R~n for a discrete or continuous time dynamical system defined on the positive orthant. Using elementary arguments, we show that M is uniformly weakly repelling in directions normal to the boundary in which M resides provided all normal Lyapunov exponents are positive. This result is useful in establishing uniform persistence of the dynamics.

机译：对于在正态上定义的离散或连续时间动力系统，令M为Rn正态的边界超平面中包含的紧不变集。使用基本参数，我们证明只要所有法向Lyapunov指数均为正，M就会在与M所处边界垂直的方向上均匀地弱排斥。该结果对于建立动力学的均匀持久性是有用的。

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来源
《Positive systems》|2009年|17-27|共11页
会议地点 Valencia(ES);Valencia(ES)
作者
Paul Leonard Salceanu; Hal L. Smith;
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作者单位

School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287,USA;

School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287,USA;

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会议组织
原文格式 PDF
正文语种 eng
中图分类自动化系统;
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2. Color map of lyapunov exponents of invariant sets [J] . Marco Monti, William B. Pardo, Jonathan A. Walkenstein, International journal of bifurcation and chaos in applied sciences and engineering . 1999,第7期

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3. Structure of the Sets of Points of Semicontinuity for the Lyapunov Exponents of Linear Systems Continuously Depending on a Parameter in the Uniform Norm on the Half-Line [J] . Bykov V. V. Differential equations: A translation of differensial'nye uraveniya . 2017,第4期

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4. Lyapunov Exponents and Uniform Weak Normally Repelling Invariant Sets [C] . Paul Leonard Salceanu, Hal L. Smith Multidisciplinary international symposium on positive systems: Theory and applications . 2009

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7. Lyapunov exponents and uniform weak normally repelling invariant sets [O] . Paul Leonard Salceanu, Hal L. Smith 2009

机译：Lyapunov指数和均匀弱正常排斥不变集

Lyapunov Exponents and Uniform Weak Normally Repelling Invariant Sets

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