On the Equivalence of the Melnikov Functions Method and the Averaging Method

Author:

Buică AdrianaORCID

Funder

UBB

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference8 articles.

1. Buică, A., Llibre, J.: Averaging methods for finding periodic orbits via Brouwer degree. Bull. Sci. Math. 128, 7–22 (2004)

2. Chicone, C.: Ordinary Differential Equations with Applications. Springer, New York (2006)

3. Christopher, C., Li, C.: Limit Cycles of Differential Equations. Advanced Courses in Mathematics - CRM Barcelona. Birkhaüser, Boston (2007)

4. Cima, A., Gasull, A., Mañosas, F.: Cyclicity of a family of vector fields. J. Math. Anal. Appl. 196, 921–937 (1995)

5. Giné, J., Grau, M., Llibre, J.: Averaging theory at any order for computing periodic orbits. Phys. D. 250, 58–65 (2013)

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