Linearizability of homogeneous quartic polynomial systems with 1:-2 resonance

作者：Dong Guangfeng^*

来源：Journal of Mathematical Analysis and Applications, 2012, 396(1): 215-224.

DOI：10.1016/j.jmaa.2012.06.013

• Linearizability
• Polynomial system
• Quartic
• Resonant
• Saddle

In this paper, we consider the linearizability problem of complex planar polynomial systems of the form (x) over dot = x + P-4, (y) over dot = -2y - Q(4), where P-4 and Q(4) are homogeneous quartic polynomials. We obtain the necessary and sufficient conditions for linearizing the systems.

• 出版日期2012-12-1
• 单位北京大学