Abstract
In this paper we consider attracting heteroclinic cycles. We recall that these cycles usually have no S.B.R. measure. This is related with the fact that certain time averages do not converge. We obtain a topological interpretation of the asymptotic properties of these non-converging time averages. In terms of these asymptotic properties we obtain a complete set of moduli for the attracting heteroclinic cycles.
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Takens, F. Heteroclinic attractors: Time averages and moduli of topological conjugacy. Bol. Soc. Bras. Mat 25, 107–120 (1994). https://doi.org/10.1007/BF01232938
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DOI: https://doi.org/10.1007/BF01232938