Abstract
We derive a condition for a closed invariant subset of a compact dynamical system to be an attractor (resp. repellor) combining the usual Ljapunov function methods with time averages. Applications are given to concrete systems endowed with some cyclic symmetry. In particular, cooperation of the inhomogeneous hypercycle is shown.
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Hofbauer, J. A general cooperation theorem for hypercycles. Monatshefte für Mathematik 91, 233–240 (1981). https://doi.org/10.1007/BF01301790
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DOI: https://doi.org/10.1007/BF01301790