On the Number of Limit Cycles Bifurcated from Some Non-Polynomial Hamiltonian Systems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s12591-018-00448-6.pdf
Reference11 articles.
1. Arnold, V.I.: Geometrical Methods in the Theory of Ordinary Differential Equations. Springer, Berlin (1988)
2. Figueras, J.L., Tucker, W., Villadelprat, J.: Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals. J. Differ. Equations 254, 3647–3663 (2013)
3. Gasull, A., Geyer, A., Manosas, F.: On the number of limit cycles for perturbed pendulum equations. J. Differ. Equations 261, 2141–2167 (2016)
4. Han, M.: Asymptotic Expansions of Melnikov Functions and Limit Cycle Bifurcation. Int. J. Bifurc. Chaos. 22(12), 1250296–1–30 (2012)
5. Han, M., Yang, J., Xiao, D.: Limit cycle bifurcation near a double homoclinic loop with a nilpotent saddle. Int. J. Bifurc. Chaos 22(8), 1250189–1–33 (2012)
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