Integrals of motion of the Rabinovich system

Xiang Zhang

doi:10.1088/0305-4470/33/28/315

Integrals of motion of the Rabinovich system

Xiang Zhang

Research output: Contribution to journal › Article › Research › peer-review

18 Citations (Scopus)

Abstract

In this paper, by using the method of characteristic curves for solving linear partial differential equations, we obtain the whole classification of the integrals of motion for the Rabinovich systems ẋ = hy - v1x + yz ẏ = hx - v2y - xz ż = - v3z + xy.

Original language	English
Pages (from-to)	5137-5155
Journal	Journal of Physics A: Mathematical and General
Volume	33
Issue number	28
DOIs	https://doi.org/10.1088/0305-4470/33/28/315
Publication status	Published - 21 Jul 2000

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title = "Integrals of motion of the Rabinovich system",

abstract = "In this paper, by using the method of characteristic curves for solving linear partial differential equations, we obtain the whole classification of the integrals of motion for the Rabinovich systems ẋ = hy - v1x + yz ẏ = hx - v2y - xz {\.z} = - v3z + xy.",

author = "Xiang Zhang",

year = "2000",

month = jul,

day = "21",

doi = "10.1088/0305-4470/33/28/315",

language = "English",

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AU - Zhang, Xiang

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Y1 - 2000/7/21

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AB - In this paper, by using the method of characteristic curves for solving linear partial differential equations, we obtain the whole classification of the integrals of motion for the Rabinovich systems ẋ = hy - v1x + yz ẏ = hx - v2y - xz ż = - v3z + xy.

U2 - 10.1088/0305-4470/33/28/315

DO - 10.1088/0305-4470/33/28/315

M3 - Article

VL - 33

SP - 5137

EP - 5155

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ER -