Integral Invariant in Noncoservative Systems and Its Application in Modern Physics

Liu Cheng-qun; Luo Shi-yu

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Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(10): 879-885

Liu Cheng-qun, Luo Shi-yu. Integral Invariant in Noncoservative Systems and Its Application in Modern Physics[J]. Applied Mathematics and Mechanics, 1985, 6(10): 879-885.

Citation:

Liu Cheng-qun, Luo Shi-yu. Integral Invariant in Noncoservative Systems and Its Application in Modern Physics[J]. Applied Mathematics and Mechanics, 1985, 6(10): 879-885.

Citation:

Liu Cheng-qun, Luo Shi-yu. Integral Invariant in Noncoservative Systems and Its Application in Modern Physics[J]. Applied Mathematics and Mechanics, 1985, 6(10): 879-885.

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Integral Invariant in Noncoservative Systems and Its Application in Modern Physics

Liu Cheng-qun¹,
Luo Shi-yu²

1.
Chongqing University, Chongqing;
2.
Chongqing Jiaotong Institute, Chongqing

Received Date: 1985-02-13
Publish Date: 1985-10-15

Abstract

Abstract

In this paper, the Poincaré and Poincaré-Cartan integral invariants in nonconservative systems are established. According to the integral invariant, he non-linear oscillation of particles in 3-folded symmetry spiral sector cyclotron is investigated, It turns out that the method is successful.

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References(5)

References

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[2]	Vujanovic,B.,A variational principle for nonconservative dynamical systems.Z.Angew.Math.Mech.,55(1975),321.
[3]	甘特马赫,《分析力学讲义》,人民教育出版社(1980).93-96.
[4]	Gordon,M.M.,et al.,Effects of field imperfections on radial stability in a three-sector cyclotron,Nuclear Instruments and Methods,18,19(1962),243.
[5]	Hayashi,C,Nonlinear Oscillation in Physics Systems,McGraw Hill Book Company,New York(1964).