GLOBAL STRUCTURE OF A CLASS OF PLANAR CUBIC SYSTEM(E3)

Yin Xianjun. GLOBAL STRUCTURE OF A CLASS OF PLANAR CUBIC SYSTEM(E3)J. Transactions of Beijing institute of Technology, 1988, (3).

Citation:

Yin Xianjun. GLOBAL STRUCTURE OF A CLASS OF PLANAR CUBIC SYSTEM(E3)J. Transactions of Beijing institute of Technology, 1988, (3).

Citation:

Yin Xianjun. GLOBAL STRUCTURE OF A CLASS OF PLANAR CUBIC SYSTEM(E3)J. Transactions of Beijing institute of Technology, 1988, (3).

Abstract

A class of planar cubic (E3)with three algebraic orbits x2 + y2 = 1,y = k1, y = k2 is studied. The global structure of (E3) is discussed, the existence and uniqueness of limit cycle and the existence of singular closed orbits are obtained. A easy criteria for determining the type of sigular point of high order is given.

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