QUALITATIVE STUDY OF A CLASS OF CUBIC SYSTEM

Diao Yuanan. QUALITATIVE STUDY OF A CLASS OF CUBIC SYSTEMJ. Transactions of Beijing institute of Technology, 1986, (3).

Citation:

Diao Yuanan. QUALITATIVE STUDY OF A CLASS OF CUBIC SYSTEMJ. Transactions of Beijing institute of Technology, 1986, (3).

Citation:

Diao Yuanan. QUALITATIVE STUDY OF A CLASS OF CUBIC SYSTEMJ. Transactions of Beijing institute of Technology, 1986, (3).

Abstract

The systemis studied in the paper.The fact that centers and limit cycles,straight orbits and quadric algebraic closed orbits cannot coexist is proved. The sufficient conditions for the inexistence of limit cycle are given. The existence and unigueness of limit cycle(when b1=b2=b3=b4=0,b62 ?4b5b7 =0) is solved.

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