Melnikov Functions in Quadratic Perturbations of Generalized Lotka–Volterra Systems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering
Link
http://link.springer.com/content/pdf/10.1007/s10883-015-9282-7.pdf
Reference9 articles.
1. Arnold VI, (ed). 2004. Arnold’s problems. New York: Springer.
2. Bautin NN. On periodic solutions of a certain system of differential equations. Prikl Matem Mechanika 1954;18(1):128. [Russian].
3. Bobieński M, Mardešic P. Pseudo-Abelian integrals along Darboux cycles. Proc London Math Soc 2008;97(3):669–688.
4. Chow S-N, Li C, Wang D. Normal forms and bifurcation of vector fields. Cambridge: Cambridge University Press; 1994.
5. Gavrilov L. The infinitesimal 16th Hilbert problem in the quadratic case. Inventiones Math 2001;143:449–497.
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