Periodic orbits for perturbed non-autonomous differential equations
Tài liệu tham khảo
Bobieński, 2007, A counterexample to a multidimensional version of the weakened Hilbertʼs 16th problem, Mosc. Math. J., 7, 1, 10.17323/1609-4514-2007-7-1-1-20
Buica, 2007, Periodic solutions of nonlinear periodic differential systems with a small parameter, Commun. Pure Appl. Anal., 6, 103, 10.3934/cpaa.2007.6.103
Chicone, 2006, Ordinary Differential Equations with Applications, vol. 34
Christopher, 2007, Limit Cycles of Differential Equations
Christopher, 1995, Polynomial systems: a lower bound for the Hilbert numbers, Proc. Roy. Soc. London Ser. A, 450, 219, 10.1098/rspa.1995.0081
Cima, 2008, Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory, Appl. Anal., 87, 149, 10.1080/00036810701556136
Cohen, 1993, A Course in Computational Algebraic Number Theory, vol. 138
Ferragut, 2007, Hyperbolic periodic orbits from the bifurcation of a 4-dimensional non-linear center, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17, 2159, 10.1142/S0218127407018294
Gasull, 2006, Limit cycles for generalized Abel equations, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 16, 3737, 10.1142/S0218127406017130
Gasull, 2001, A new approach to the computation of the Lyapunov constants, Comput. Appl. Math., 20, 149
Ilʼyashenko, 2000, Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions, Nonlinearity, 13, 1337, 10.1088/0951-7715/13/4/319
Li, 2000, Linear estimate for the number of zeros of Abelian integrals for quadratic isochronous centres, Nonlinearity, 15, 1775, 10.1088/0951-7715/13/5/318
Lins Neto, 1980, On the number of solutions of the equation ∑j=0naj(t)xj, 0⩽t⩽1, for which x(0)=x(1), Invent. Math., 59, 67
Llibre, 2009, Limit cycles of polynomial differential systems bifurcating from the periodic orbits of a linear differential system in Rd, Bull. Sci. Math., 133, 578, 10.1016/j.bulsci.2009.04.004
Llibre, 2011, Limit cycles for generalized Kukles polynomial differential systems, Nonlinear Anal., 74, 1261, 10.1016/j.na.2010.09.064
Llibre, 2010, Limit cycles of the generalized polynomial Liénard differential equations, Math. Proc. Cambridge Philos. Soc., 148, 363, 10.1017/S0305004109990193
Lloyd, 1975, On a class of differential equations of Riccati type, J. Lond. Math. Soc. (2), 10, 1, 10.1112/jlms/s2-10.1.1