ON MATHIEU EQUATION’S FIRST-ORDER INSTABLE ZONE AND ITS APPLICATION IN CYCLOTRON

Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (4): 599-606.

ON MATHIEU EQUATION’S FIRST-ORDER INSTABLE ZONE AND ITS APPLICATION IN CYCLOTRON

罗诗裕

Institute of Modern Physics, Academia Sinica, Lanzhou

收稿日期:1980-08-01 出版日期:1982-07-18 发布日期:1982-07-18

ON MATHIEU EQUATION’S FIRST-ORDER INSTABLE ZONE AND ITS APPLICATION IN CYCLOTRON

Luo Shi-yu

Institute of Modern Physics, Academia Sinica, Lanzhou

Received:1980-08-01 Online:1982-07-18 Published:1982-07-18

摘要/Abstract

摘要： The v₂=1/2 resonance was analyzed approximately, by using stability of Mathieu equation’s solutions and the method of transfer matrix, and gradient amplitude of a critical perturbed field was derived.

关键词: nonlinear resonance, weakly nonlinear Stokes waves, a free surface current, rippled beds, dynamical system

Abstract: The v₂=1/2 resonance was analyzed approximately, by using stability of Mathieu equation’s solutions and the method of transfer matrix, and gradient amplitude of a critical perturbed field was derived.

Key words: nonlinear resonance, weakly nonlinear Stokes waves, a free surface current, rippled beds, dynamical system

罗诗裕. ON MATHIEU EQUATION’S FIRST-ORDER INSTABLE ZONE AND ITS APPLICATION IN CYCLOTRON[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(4): 599-606.

Luo Shi-yu. ON MATHIEU EQUATION’S FIRST-ORDER INSTABLE ZONE AND ITS APPLICATION IN CYCLOTRON[J]. Applied Mathematics and Mechanics (English Edition), 1982, 3(4): 599-606.

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ON MATHIEU EQUATION’S FIRST-ORDER INSTABLE ZONE AND ITS APPLICATION IN CYCLOTRON

ON MATHIEU EQUATION’S FIRST-ORDER INSTABLE ZONE AND ITS APPLICATION IN CYCLOTRON

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