The monotonicity of period function for codimension four quadratic system Q4

[摘要] In this paper, we study the codimension four quadratic system Q(4): (z)over dot = -iz + 4z(2) + 2\z\(2) + (b + ic)(z) over bar (2), where b and c are real constants, i(2) = -1, z = x + iy, \b + ic\ = 2. It is proved that the period function of periodic trajectories for Q4 is monotone. The content of this paper can be viewed as a contribution to the proof of Chicone's conjecture (cf. MR: 94h:58072). (C) 2002 Elsevier Science (USA).

[发布日期] 2002-10-10