Abstract
During the first half of last decade, the development of nonlinear dynamical systems theory and experiments /1,2/ produced great expectations in the scientific community. For some time it appeared that understanding the transition to turbulence in terms of transitions to chaos as they appeared in systems with small number of degrees of freedom. Today these expectations have weakened significantly; however, still some hydrodynamic flows have been shown to display chaotic transitions prior to entering into turbulent states /3/. Therefore studying chaotic temporal dynamics in initially oscillatory systems may still have some relevance for the understanding of the complex behavior of turbulent hydrodynamic systems.
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Antoranz, J.C., Rubio, M.A. (1991). Transition to Chaos in Nonlinear Oscillators. In: Jiménez, J. (eds) The Global Geometry of Turbulence. NATO ASI Series, vol 268. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3750-2_26
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DOI: https://doi.org/10.1007/978-1-4615-3750-2_26
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