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[1] Ale Jan Homburg, Alice C. Jukes, Jürgen Knobloch and Jeroen S.W. Lamb.
Bifurcation from codimension one relative homoclinic cycles.
Trans. Amer. Math. Soc.
363
(2011)
5663-5701.
MR 2817404.
Abstract, references, and article information
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[2] M. Grau, F. Mañosas and J. Villadelprat.
A Chebyshev criterion for Abelian integrals.
Trans. Amer. Math. Soc.
363
(2011)
109-129.
MR 2719674.
Abstract, references, and article information
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[3] O. Yu. Makarenkov.
Poincaré index and periodic solutions of perturbed autonomous systems.
Trans. Moscow Math. Soc.
70
(2009)
1-30.
MR 2573636.
Abstract, references, and article information
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[4] F. Mañosas and J. Villadelprat.
The bifurcation set of the period function of the dehomogenized
Loud's centers is bounded.
Proc. Amer. Math. Soc.
136
(2008)
1631-1642.
MR 2373592.
Abstract, references, and article information
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[5] M. J. Álvarez, A. Gasull and R. Prohens.
Limit cycles for cubic systems with a symmetry of order 4 and without infinite critical points.
Proc. Amer. Math. Soc.
136
(2008)
1035-1043.
MR 2361879.
Abstract, references, and article information
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[6] Jacobo Pejsachowicz.
Bifurcation of homoclinics.
Proc. Amer. Math. Soc.
136
(2008)
111-118.
MR 2350395.
Abstract, references, and article information
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[7] Martin Golubitsky and Ian Stewart.
Nonlinear dynamics of networks: the groupoid formalism.
Bull. Amer. Math. Soc.
43
(2006)
305-364.
MR 2223010.
Abstract, references, and article information
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[8] M. A. M. Alwash.
On the center conditions of certain cubic systems.
Proc. Amer. Math. Soc.
126
(1998)
3335-3336.
MR 1485453.
Abstract, references, and article information
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This article is available free of charge
[9] L. M. Perko.
Homoclinic loop and multiple limit cycle
bifurcation surfaces
.
Trans. Amer. Math. Soc.
344
(1994)
101-130.
MR 1227092.
Abstract, references, and article information
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[10] L. M. Perko.
Bifurcation of limit cycles: geometric theory
.
Proc. Amer. Math. Soc.
114
(1992)
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MR 1086341.
Abstract, references, and article information
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[11] Christopher McCord and Konstantin Mischaikow.
Connected simple systems, transition matrices, and
heteroclinic bifurcations
.
Trans. Amer. Math. Soc.
333
(1992)
397-422.
MR 1059711.
Abstract, references, and article information
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This article is available free of charge
[12] Bo Deng.
The transverse homoclinic dynamics and their
bifurcations at nonhyperbolic fixed points
.
Trans. Amer. Math. Soc.
331
(1992)
15-53.
MR 1024768.
Abstract, references, and article information
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