Lyapunov Exponents and Uniform Weak Normally Repelling Invariant Sets
نویسندگان
چکیده
Let M be a compact invariant set contained in a boundary hyperplane of the positive orthant of R 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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تاریخ انتشار 2009