Symbolic computation of limit cycles associated with Hilbert’s 16th problem
暂无分享,去创建一个
[1] Maoan Han,et al. The Hopf cyclicity of Lienard systems , 2001, Appl. Math. Lett..
[2] Pei Yu,et al. Twelve Limit Cycles in a cubic Case of the 16TH Hilbert Problem , 2005, Int. J. Bifurc. Chaos.
[3] S. Smale. Mathematical problems for the next century , 1998 .
[4] Songling Shi,et al. A CONCRETE EXAMPLE OF THE EXISTENCE OF FOUR LIMIT CYCLES FOR PLANE QUADRATIC SYSTEMS , 1980 .
[5] Víctor Mañosa,et al. Algebraic Properties of the Liapunov and Period Constants , 1997 .
[6] Jibin Li,et al. Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system , 1991 .
[7] Maoan Han,et al. Cyclicity of planar homoclinic loops and quadratic integrable systems , 1997 .
[8] N. G. Lloyd,et al. Some cubic systems with several limit cycles , 1988 .
[9] Pei Yu,et al. COMPUTATION OF NORMAL FORMS VIA A PERTURBATION TECHNIQUE , 1998 .
[10] 韩茂安. LIAPUNOV CONSTANTS AND HOPF CYCLICITY OF LIENARD SYSTEMS , 1999 .
[11] J. M. Pearson,et al. Computing centre conditions for certain cubic systems , 1992 .
[12] Pei Yu,et al. Small limit cycles bifurcating from fine focus points in cubic order Z2-equivariant vector fields , 2005 .
[13] Ping Bi,et al. A new cubic system having eleven limit cycles , 2005 .
[14] H. Zoladek,et al. Eleven small limit cycles in a cubic vector field , 1995 .
[15] Tonghua Zhang,et al. Some bifurcation methods of finding limit cycles. , 2006, Mathematical biosciences and engineering : MBE.
[16] John Guckenheimer,et al. Degenerate homoclinic cycles in perturbations of quadratic Hamiltonian systems , 1989 .
[17] Joan Torregrosa,et al. A new algorithm for the computation of the Lyapunov constants for some degenerated critical points , 2001 .
[18] Jibin Li,et al. Hilbert's 16th Problem and bifurcations of Planar Polynomial Vector Fields , 2003, Int. J. Bifurc. Chaos.
[19] Li Xin Cheng,et al. On Hereditarily Indecomposable Banach Spaces , 2006 .
[20] L. Perko. Differential Equations and Dynamical Systems , 1991 .
[21] Liu Yi-Reng,et al. THEORY OF VALUES OF SINGULAR POINT IN COMPLEX AUTONOMOUS DIFFERENTIAL SYSTEMS , 1990 .
[22] Maoan Han,et al. On Hopf Cyclicity of Planar Systems , 2000 .
[23] Wang Dongming,et al. A class of cubic differential systems with 6-tuple focus , 1990 .
[24] P. Yu,et al. Twelve limit cycles in a cubic order planar system with $Z_2$- symmetry , 2004 .
[25] Arjeh M. Cohen,et al. Some tapas of computer algebra , 1999, Algorithms and computation in mathematics.
[26] Chen Hai-bo,et al. Linear recursion formulas of quantities of singular point and applications , 2004, Appl. Math. Comput..
[27] Y. Il'yashenko. Centennial History of Hilbert’s 16th Problem , 2002 .
[28] Fabrice Rouillier,et al. Symbolic Recipes for Real Solutions , 1999 .
[29] N. G. Lloyd,et al. A Cubic System with Eight Small-Amplitude Limit Cycles , 1991 .
[30] N. N. Bautin,et al. On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type , 1954 .
[31] Yirong Liu,et al. A cubic system with twelve small amplitude limit cycles , 2005 .
[32] Jean-Pierre Francoise,et al. Successive derivatives of a first return map, application to the study of quadratic vector fields , 1996, Ergodic Theory and Dynamical Systems.
[33] Yirong Liu,et al. CENTER AND ISOCHRONOUS CENTER AT INFINITY IN A CLASS OF PLANAR DIFFERENTIAL SYSTEMS , 2008 .