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What is period doubling bifurcation? in vortex induced vibration?

Vortex-induced vibration

Initial value problem

Bifurcation diagram

Period-doubling bifurcation

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Period doubling bifurcation in vortex-induced vibration refers to a phenomenon where the response of the system transitions from a period-1 motion to a period-n motion, where n is greater than 1. This bifurcation occurs in the post-synchronous regime of the system, where the response of the cylinder is no longer synchronized with its natural frequency . The variation of the onset of synchronization and its spectrum over the range of Reynolds number can be depicted using bifurcation diagrams . In the case of a top tension riser (TTR) subject to shear flow VIV, the VIV response of the TTR exhibits Hopf bifurcation phenomena with bistable characteristics . The understanding of these bifurcation phenomena can provide insights for the design and optimization of riser structural parameters .

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Journal Article•DOI Bifurcation phenomenon and multi-stable behavior in vortex-induced vibration of top tension riser in shear flow: Yuancen Wang, Zhiqiang Wu, Guoqi Zhang, Yajie Li, Feng Wang - Show less +4 more 01 May 2020-Journal of Vibration and Control 5 Citations	The paper does not provide information about period doubling bifurcation in vortex-induced vibration.
Journal Article•DOI On the onset of bifurcation and nonlinear characterization of vortex-induced vibrations under varying initial conditions Arshad Mehmood, Arshad Mehmood, Abdessattar Abdelkefi, Abdessattar Abdelkefi, Muhammad R. Hajj, Muhammad R. Hajj, Imran Akhtar - Show less +6 more 01 Jan 2020-Nonlinear Dynamics 9 Citations	The paper does not specifically mention "period doubling bifurcation" in the context of vortex-induced vibrations.
Open access•Journal Article•DOI A Hamiltonian Bifurcation Perspective on Two Interacting Vortex Pairs: From Symmetric to Asymmetric Leapfrogging, Period Doubling and Chaos Brandon Whitchurch, Panayotis G. Kevrekidis, V. Koukouloyannis - Show less +2 more 15 Jun 2017-arXiv: Pattern Formation and Solitons 4 Citations	The paper does not mention vortex-induced vibration or period doubling bifurcation in relation to it.
Open access•Journal Article•DOI Research on Bifurcation Response for Vortex-Induced Vibration of Top Tension Riser in Shear Flow Yuancen Wang, Zhiqiang Wu, Xiangyun Zhang - Show less +2 more 04 Nov 2019-Mathematical Problems in Engineering 1 Citations	The provided paper does not specifically mention period doubling bifurcation in vortex-induced vibration.
Open access•Journal Article•DOI Vortex-Induced Vibration Response Bifurcation Analysis of Top-Tensioned Riser Based on the Model of Variable Lift Coefficient Yuancen Wang, Zhiqiang Wu, Xiangyun Zhang - Show less +2 more 18 Dec 2018-Mathematical Problems in Engineering 6 Citations	The paper does not specifically mention period doubling bifurcation in vortex-induced vibration.

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