QUALITATIVE STUDY OF A CLASS OF CUBIC SYSTEM
Author(s): Diao Yuanan
Pages: 1-10
Year: 1986 Issue: 3
Journal: Transactions of Beijing Institute of Technology
Keyword: limit cycle; rotated vector fields; orbit; singular point.;
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.
Pages: 1-10
Year: 1986 Issue: 3
Journal: Transactions of Beijing Institute of Technology
Keyword: limit cycle; rotated vector fields; orbit; singular point.;
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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