Parametric Resonance in Adiabatic Oscillators

被引:0
|
作者
Vladimir Burd
Pavel Nesterov
机构
[1] Yaroslavl State University,Department of Mathematics
来源
Results in Mathematics | 2010年 / 58卷
关键词
Primary 34E05; Secondary 34C29; Parametric resonance; adiabatic oscillator; method of averaging; Levinson’s fundamental theorem; oscillatory decreasingcoefficients;
D O I
暂无
中图分类号
学科分类号
摘要
We use the averaging method and Levinson’s fundamental theorem to study phenomenon of parametric resonance in some new equations from the class of adiabatic oscillators.
引用
收藏
页码:1 / 15
页数:14
相关论文
共 50 条
  • [1] Parametric Resonance in Adiabatic Oscillators
    Burd, Vladimir
    Nesterov, Pavel
    [J]. RESULTS IN MATHEMATICS, 2010, 58 (1-2) : 1 - 15
  • [2] Phase bunching of oscillators in parametric resonance
    A. F. Kurin
    [J]. Technical Physics, 2008, 53 : 1247 - 1260
  • [3] Phase Bunching of Oscillators in Parametric Resonance
    Kurin, A. F.
    [J]. TECHNICAL PHYSICS, 2008, 53 (10) : 1247 - 1260
  • [4] Adiabatic optical parametric oscillators: steady-state and dynamical behavior
    Phillips, C. R.
    Fejer, M. M.
    [J]. OPTICS EXPRESS, 2012, 20 (03): : 2466 - 2482
  • [5] Parametric resonance in a conservative system of coupled nonlinear oscillators
    Maddi, Johann
    Coste, Christophe
    Saint Jean, Michel
    [J]. PHYSICAL REVIEW E, 2022, 105 (05)
  • [6] Generalized parametric resonance in electrostatically actuated microelectromechanical oscillators
    Rhoads, Jeffrey F.
    Shaw, Steven W.
    Turner, Kimberly L.
    Moehlis, Jeff
    DeMartini, Barry E.
    Zhang, Wenhua
    [J]. JOURNAL OF SOUND AND VIBRATION, 2006, 296 (4-5) : 797 - 829
  • [7] Rotating class of parametric resonance processes in coupled oscillators
    Shapiro, VE
    [J]. PHYSICS LETTERS A, 2001, 290 (5-6) : 288 - 296
  • [8] Parametric resonance in coupled oscillators driven by colored noise
    Bobryk, RV
    Chrzeszczyk, A
    [J]. EUROPHYSICS LETTERS, 2004, 68 (03): : 344 - 349
  • [9] Quantum Computation Based on Quantum Adiabatic Bifurcations of Kerr-Nonlinear Parametric Oscillators
    Goto, Hayato
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2019, 88 (06)
  • [10] PARAMETRIC OSCILLATORS
    MATTHEI, WG
    MCCORMICK, MJ
    [J]. PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1965, 53 (05): : 488 - +