Linearizability conditions of time-reversible cubic systems

作者：Chen Xingwu; Romanovski Valery G

来源：Journal of Mathematical Analysis and Applications, 2010, 362(2): 438-449.

DOI：10.1016/j.jmaa.2009.09.013

• Isochronous center
• Linearizability
• Time-reversibility
• Polynomial system

In this paper we present the necessary and sufficient conditions for linearizability of the planar time-reversible cubic complex system (x) over dot = x + P(x, y), (y) over dot = -y + Q(x, y). From these conditions, the necessary and sufficient conditions for the origin to be an isochronous center of the time-reversible cubic real system (u) over dot = -v + F(u, v), = (v) over dot = u + G(u, v) can be obtained. Thus, the isochronous center problem of time-reversible cubic systems is solved completely.

• 出版日期2010-2-15
• 单位四川大学