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What is period doubling in fluid surface interaction?

Explicit symmetry breaking

Bifurcation diagram

Saddle-node bifurcation

Pitchfork bifurcation

Infinite-period bifurcation

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Period doubling in fluid surface interaction refers to a phenomenon where a system displaying time periodic behavior undergoes a sequence of instabilities, resulting in a doubling of the period over a finite parameter range . This cascade of period doublings is often considered a "route to chaos" and is observed in various physical systems, including convective fluid layers . In the context of fluid flow around an oscillating cylinder near a plane boundary, period doubling of the primary synchronization mode has been discovered, leading to the transition to chaos through a cascade of period doublings . This transition occurs within the synchronized region and is attributed to the interaction between asymmetric vortex shedding from the cylinder and the boundary layer on the plane boundary .

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Journal Article•DOI Period-doubling mode interactions with circular symmetry J. D. Crawford, Edgar Knobloch, H. Rieche - Show less +2 more 01 Sep 1990-Physica D: Nonlinear Phenomena 53 Citations	The paper does not provide a direct explanation of period doubling in fluid surface interaction.
Journal Article•DOI Period doubling as a result of slip complexities in sliding surfaces with strength heterogeneity Shengli Ma, Changrong He - Show less +1 more 20 Jul 2001-Tectonophysics 26 Citations	The provided paper does not discuss period doubling in fluid surface interaction.
Journal Article•DOI Transition to chaos through period doublings of a forced oscillating cylinder in steady current Liang Cheng, Xiaoying Ju, Feifei Tong, Hongwei An - Show less +3 more 25 Mar 2020-Journal of Fluid Mechanics 4 Citations	The paper does not provide information about period doubling in fluid surface interaction.
Book Chapter•DOI An Investigation of a Mode Interaction Involving Period-Doubling and Symmetry-Breaking Bifurcations P. J. Aston 01 Jan 1994 2 Citations	The provided paper does not discuss period doubling in fluid surface interaction.

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