The spin-torque nano-oscillator in the presence of thermal fluctuation is described by the normal form of the Hopf bifurcation with an additive white noise. By the application of the reduction method, the amplitude-phase coupling factor, which has a significant effect on the power spectrum of the spin-torque nano-oscillator, is calculated from the Landau-Lifshitz-Gilbert-Slonczewski equation with the nonlinear Gilbert damping. The amplitude-phase coupling factor exhibits a large variation depending on an in-plane anisotropy under the practical external fields. (C) 2009 American Institute of Physics. [DOI: 10.1063/1.3056407]
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Univ Paris 11, CNRS, Inst Elect Fondamentale, UMR 8622, F-91405 Orsay, FranceUniv Paris 11, CNRS, Inst Elect Fondamentale, UMR 8622, F-91405 Orsay, France
Kim, Joo-Von
Tiberkevich, Vasil
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Oakland Univ, Dept Phys, Rochester, MI 48309 USAUniv Paris 11, CNRS, Inst Elect Fondamentale, UMR 8622, F-91405 Orsay, France
Tiberkevich, Vasil
Slavin, Andrei N.
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Oakland Univ, Dept Phys, Rochester, MI 48309 USAUniv Paris 11, CNRS, Inst Elect Fondamentale, UMR 8622, F-91405 Orsay, France
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Nankai Univ, Sch Phys, Tianjin 300071, Peoples R China
Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R ChinaNankai Univ, Sch Phys, Tianjin 300071, Peoples R China
Wang, Lianwei
Wang, Yong
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Nankai Univ, Sch Phys, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Phys, Tianjin 300071, Peoples R China
Wang, Yong
Xia, Ke
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Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R ChinaNankai Univ, Sch Phys, Tianjin 300071, Peoples R China