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Analysis of High Codimensional Bifurcation and Chaos for the Quad Bundle Conductor's Galloping 被引量:4

Analysis of High Codimensional Bifurcation and Chaos for the Quad Bundle Conductor's Galloping
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摘要 A two-degree-of-freedom model of iced, electrical quad bundle conductor is developed to comprehensively describe the different galloping behaviors observed. By applying centre manifold and invertible linear transformation, the co-dimension-2 bifurcation is analyzed. The relationships of parameters between this system and the original system are obtained to analyze and to control the galloping of the quad iced bundle conductor. The space trajectory, Lyapunov exponent and Lyapunov dimension are investigated via numerical simulation to present a rigorous proof of existence of chaos. A two-degree-of-freedom model of iced, electrical quad bundle conductor is developed to comprehensively describe the different galloping behaviors observed. By applying centre manifold and invertible linear transformation, the co-dimension-2 bifurcation is analyzed. The relationships of parameters between this system and the original system are obtained to analyze and to control the galloping of the quad iced bundle conductor. The space trajectory, Lyapunov exponent and Lyapunov dimension are investigated via numerical simulation to present a rigorous proof of existence of chaos.
出处 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第4期171-174,共4页 中国物理快报(英文版)
基金 Supported by the National Natural Science Foundation of China under Grant No 10872141, and the National Basic Research Program of China under Grant No 2007CB714000.
关键词 Fluid dynamics Mathematical physics Statistical physics and nonlinear systems Fluid dynamics Mathematical physics Statistical physics and nonlinear systems
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