An Improved Criterion for the Unique Existence of the Limit Cycle of a Liénard-type System with One Parameter

Author:

Hayashi MakotoORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference16 articles.

1. Aghajani, A., Moradifam, A.: The generalized Liénard equations. Glasgow Math. J. 51, 605–617 (2009)

2. Carletti, T.: Uniqueness of limit cycles for a class of planar vector fields. Qual. Theory Dyn. Syst. 6, 31–43 (2005)

3. Cioni, M., Villari, G.: An extention of Dragilev’s theorem for the existence of periodic solution of the Liénard equation. Nonlinear Anal. 20, 345–351 (2015)

4. Gasull, A., Guillamon, A.: Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations. Differ. Equ. Dyn. Syst. 3, 336–345 (1995)

5. Graef, J.: On the generalized Liénard equation with negative damping. J. Differ. Equ. 12, 33–74 (1972)

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