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This article is cited in 29 scientific papers (total in 29 papers)
Plate Falling in a Fluid: Regular and Chaotic Dynamics of Finite-dimensional Models
Sergey P. Kuznetsov Kotel’nikov’s Institute of Radio Engineering and Electronics of RAS, Saratov Branch, ul. Zelenaya 38, Saratov, 410019 Russia
Abstract:
Results are reviewed concerning the planar problem of a plate falling in a resisting medium studied with models based on ordinary differential equations for a small number of dynamical variables. A unified model is introduced to conduct a comparative analysis of the dynamical behaviors of models of Kozlov, Tanabe–Kaneko, Belmonte–Eisenberg–Moses and Andersen–Pesavento–Wang using common dimensionless variables and parameters. It is shown that the overall structure of the parameter spaces for the different models manifests certain similarities caused by the same inherent symmetry and by the universal nature of the phenomena involved in nonlinear dynamics (fixed points, limit cycles, attractors, and bifurcations).
Keywords:
body motion in a fluid, oscillations, autorotation, flutter, attractor, bifurcation, chaos, Lyapunov exponent.
Received: 22.11.2014
Citation:
Sergey P. Kuznetsov, “Plate Falling in a Fluid: Regular and Chaotic Dynamics of Finite-dimensional Models”, Regul. Chaotic Dyn., 20:3 (2015), 345–382
Linking options:
https://www.mathnet.ru/eng/rcd47 https://www.mathnet.ru/eng/rcd/v20/i3/p345
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Abstract page: | 217 | References: | 43 |
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