Abstract
We describe some recent results on symmetry of attractors for dynamical systems with symmetry and consider the implications for the Couette-Taylor experiment and the Faraday surface wave experiment. In particular, we explore the relationship between symmetry of solutions at a fixed instant in time, and symmetry in the time-averaged solution. This leads to predictions that are somewhat surprising and which we believe require careful experimental exploration.
Supported in part by NSF Grant DMS-9101836, by the Texas Advanced Research Program (003652037) and by the CNRS
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Melbourne, I. (1994). Instantaneous Symmetry and Symmetry on Average in the Couette-Taylor and Faraday Experiments. In: Chossat, P. (eds) Dynamics, Bifurcation and Symmetry. NATO ASI Series, vol 437. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0956-7_20
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DOI: https://doi.org/10.1007/978-94-011-0956-7_20
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