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.
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Salceanu, P.L., Smith, H.L. (2009). Lyapunov Exponents and Uniform Weak Normally Repelling Invariant Sets. In: Bru, R., Romero-Vivó, S. (eds) Positive Systems. Lecture Notes in Control and Information Sciences, vol 389. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02894-6_2
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DOI: https://doi.org/10.1007/978-3-642-02894-6_2
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