Abstract
‘Tumbling’ is a ubiquitous behavioral possibility in natural systems. The two oldest physical examples are a rippling flow of water, on the one hand, and the space-time behavior of three gravitating masses, on the other hand. A proof that stricty nonperiodic behavior is possible in the last-mentioned case was given by POINCARE [1] (who detected a ‘homoclinic point’ in a cross-section through the trajectorial flow). Later LORENZ [2] devised his well-known reduced equation for turbulent NAVIER-STOKES flows, which also possesses nonperiodic trajectories.
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Rössler, O.E. (1977). Chemical Turbulence A Synopsis. In: Haken, H. (eds) Synergetics. Springer Series in Synergetics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-66784-8_16
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DOI: https://doi.org/10.1007/978-3-642-66784-8_16
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