Higher Order Melnikov Functions for Studying Limit Cycles of Some Perturbed Elliptic Hamiltonian Vector Fields
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics
Link
http://link.springer.com/content/pdf/10.1007/s12346-018-0284-1.pdf
Reference11 articles.
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3. Horozov, E., Iliev, I.D.: On saddle-loop bifurcation of limit cycles in perturbations of quadratic Hamiltonian systems. J. Differ. Eq. 113, 84–105 (1994)
4. Iliev, I.D.: Higher-order Melnikov functions for degenerate cubic Hamiltonians. Adv. Differ. Eq. 1, 689–708 (1996)
5. Iliev, I.D.: The number of limit cycles due to polynomial perturbations of the harmonic oscillator. Math. Proc. Cambridge Philos. Soc. 127, 317–322 (1999)
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