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Direct method of finding first integral of two-dimensional autonomous systems in polar coordinates

机译：在极坐标中找到二维自治系统的第一积分的直接方法

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机译：A direct method to find the first integral for two-dimensional autonomous system in polar coordinates is suggested.It is shown that if the equation of motion expressed by differential 1-forms for a given autonomous Hamiltonian system is multiplied by a set of multiplicative functions, then the general expression of the first integral can be obtained. An example is given to illustrate the application of the results.

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