Limit cycle's uniqueness for second order ODE's polynomial in (x) over dot

作者：Sabatini M^*

来源：Journal of Mathematical Analysis and Applications, 2011, 381(1): 402-413.

DOI：10.1016/j.jmaa.2011.02.055

• Uniqueness
• Limit cycle
• Second order ODEs
• Massera theorem
• Conti-Filippov transformation

We prove a uniqueness result for limit cycles of the second order ODE x + Sigma(J)(j=1) f(j)(x)(x) over dot(j) + g(x) = 0. We extend a uniqueness result proved in Carletti. Rosati and Villari (2007) In The main tool applied is an extension of the Massera theorem proved in Guillamon and Sabatini (2007) [5].

• 出版日期2011-9-1