Finite cyclicity of slow-fast Darboux systems with a two-saddle loop
作者： Marcin Bobieński , Lubomir Gavrilov
DOI: 10.1090/PROC/12678
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sci-hub.se 参考文章(9)
Robert H. Roussarie, Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem ,(1998)
Lubomir Gavrilov, On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields Bulletin of The Brazilian Mathematical Society. ,vol. 42, pp. 1- 23 ,(2011) , 10.1007/S00574-011-0001-Z
Freddy Dumortier, Robert H. Roussarie, Canard Cycles and Center Manifolds ,(1996)
Freddy Dumortier, Robert Roussarie, Multiple Canard Cycles in Generalized Liénard Equations Journal of Differential Equations. ,vol. 174, pp. 1- 29 ,(2001) , 10.1006/JDEQ.2000.3947
Freddy Dumortier, Robert Roussarie, Abelian integrals and limit cycles Journal of Differential Equations. ,vol. 227, pp. 116- 165 ,(2006) , 10.1016/J.JDE.2005.08.015
F. Dumortier, R. Roussarie, C. Rousseau, Hilbert′s 16th Problem for Quadratic Vector Fields Journal of Differential Equations. ,vol. 110, pp. 86- 133 ,(1994) , 10.1006/JDEQ.1994.1061
Freddy Dumortier, , Robert Roussarie, , Birth of canard cycles Discrete and Continuous Dynamical Systems - Series S. ,vol. 2, pp. 723- 781 ,(2009) , 10.3934/DCDSS.2009.2.723
Marcin Bobieński, Pavao Mardešić, Dmitry Novikov, Pseudo-abelian integrals: Unfolding generic exponential case Journal of Differential Equations. ,vol. 247, pp. 3357- 3376 ,(2009) , 10.1016/J.JDE.2009.06.019
Marcin Bobieński, Pavao Mardešić, Dmitry Novikov, Pseudo-abelian integrals on slow-fast Darboux systems Annales de l’institut Fourier. ,vol. 63, pp. 417- 430 ,(2013) , 10.5802/AIF.2765