Abstract
Let M be a compact invariant set contained in a boundary hyperplane of the positive orthant of ℝn 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.KeywordsLyapunov ExponentDiscrete CaseDiscrete Dynamical SystemPositive OrthantUniform PersistenceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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