Invariant algebraic surfaces of the Rabinovich system
Feng Xie; Xiang Zhang; Feng Xie; Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, Peopleʼs Republic of China; Xiang Zhang; Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, Peopleʼs Republic of China
Журнал:
Journal of Physics A: Mathematical and General
Дата:
2003-01-17
Аннотация:
In this paper, we characterize all the Darboux polynomials of the Rabinovich system, hy − v<sub>1</sub>x + yz, hx − v<sub>2</sub>y − xz and −v<sub>3</sub>z + xy. Moreover, we give the necessary and sufficient conditions in order that the Rabinovich system has a rational first integral or an algebraic first integral.
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