Time averages for heteroclinic attractors

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Abstract

In neighbourhoods of attracting heteroclinic cycles, the time averages fail to converge for almost all initial conditions, but spiral closer and closer to the boundary of a polygon. This is shown by using a Poincare-section argument.

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APA

Gaunersdorfer, A. (1992). Time averages for heteroclinic attractors. SIAM Journal on Applied Mathematics, 52(5), 1476–1489. https://doi.org/10.1137/0152085

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