Gouveia, Luiz F. S.; Torregrosa, Joan The local cyclicity problem: Melnikov method using Lyapunov constants. (English) Zbl 1504.34082 Proc. Edinb. Math. Soc., II. Ser. 65, No. 2, 356-375 (2022). Reviewer: Kuilin Wu (Guiyang) MSC: 34C07 34C05 34C23 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Benadouane, S.; Berbache, A.; Bendjeddou, A. Upper bounds for the number of limit cycles for a class of polynomial differential systems via the averaging method. (English) Zbl 1491.34048 Bul. Acad. Științe Repub. Mold., Mat. 2021, No. 3(97), 72-87 (2021). MSC: 34C07 34C23 37G15 × Cite Format Result Cite Review PDF Full Text: Link
Bastos, Jefferson L. R.; Buzzi, Claudio A.; Torregrosa, Joan Orbitally symmetric systems with applications to planar centers. (English) Zbl 1493.34120 Commun. Pure Appl. Anal. 20, No. 10, 3319-3347 (2021). Reviewer: Maite Grau (Lleida) MSC: 34C14 34C25 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Sánchez-Sánchez, Iván; Torregrosa, Joan Criticality via first order development of the period constants. (English) Zbl 1466.34037 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 203, Article ID 112164, 22 p. (2021). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34C23 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Geng, Wei; Tian, Yun Bifurcation of limit cycles near heteroclinic loops in near-Hamiltonian systems. (English) Zbl 1461.34062 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105666, 11 p. (2021). Reviewer: Jihua Yang (Guyuan) MSC: 34C23 34C05 34C37 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Giné, Jaume; Gouveia, Luiz F. S.; Torregrosa, Joan Lower bounds for the local cyclicity for families of centers. (English) Zbl 1467.34034 J. Differ. Equations 275, 309-331 (2021). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C07 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gouveia, Luiz F. S.; Torregrosa, Joan Lower bounds for the local cyclicity of centers using high order developments and parallelization. (English) Zbl 1460.34046 J. Differ. Equations 271, 447-479 (2021). Reviewer: Jeidy Johana Jimenez (Goiânia) MSC: 34C23 34C25 34C07 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wu, Yusen; Li, Hongwei; Alsaedi, Ahmed Center conditions and bifurcation of limit cycles created from a class of second-order ODEs. (English) Zbl 1415.34060 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 1, Article ID 1950003, 12 p. (2019). MSC: 34C05 34C25 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Tao; Li, Feng; Liu, Yirong; Li, Shimin; Wang, Jing Bifurcation of limit cycles and center problem for \(p : q\) homogeneous weight systems. (English) Zbl 1418.34070 Nonlinear Anal., Real World Appl. 46, 257-273 (2019). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C23 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Prohens, R.; Torregrosa, J. New lower bounds for the Hilbert numbers using reversible centers. (English) Zbl 1414.34024 Nonlinearity 32, No. 1, 331-355 (2019). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C07 34C05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Xinli Limit cycles in a quartic system with a third-order nilpotent singular point. (English) Zbl 1446.34052 Adv. Difference Equ. 2018, Paper No. 152, 15 p. (2018). MSC: 34C05 34C23 34C07 34C20 34C25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Yu, Pei; Han, Maoan; Li, Jibin An improvement on the number of limit cycles bifurcating from a nondegenerate center of homogeneous polynomial systems. (English) Zbl 1394.34075 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 6, Article ID 1850078, 31 p. (2018). MSC: 34C23 34C07 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Haihua; Torregrosa, Joan Weak-foci of high order and cyclicity. (English) Zbl 1396.34018 Qual. Theory Dyn. Syst. 16, No. 2, 235-248 (2017). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C07 34C23 34C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chen, Ting; Huang, Lihong; Huang, Wentao; Li, Wenjie Bi-center conditions and local bifurcation of critical periods in a switching \(Z_2\) equivariant cubic system. (English) Zbl 1380.37059 Chaos Solitons Fractals 105, 157-168 (2017). MSC: 37C80 34C07 34A36 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Giné, Jaume Liénard equation and its generalizations. (English) Zbl 1370.34026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 6, Article ID 1750081, 7 p. (2017). MSC: 34A34 34C23 34C05 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Llibre, J.; Lopes, B. D.; de Moraes, J. R. Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2. (English) Zbl 1410.34097 Appl. Math. Comput. 274, 47-54 (2016). MSC: 34C07 34C23 34C25 34C29 37C10 37C27 37G15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Llibre, Jaume; Lopes, Bruno D.; de Moraes, Jaime R. Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2. (English) Zbl 1328.34028 Appl. Math. Comput. 250, 887-907 (2015). MSC: 34C05 34C07 37C10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liang, Haihua; Torregrosa, Joan Parallelization of the Lyapunov constants and cyclicity for centers of planar polynomial vector fields. (English) Zbl 1334.34070 J. Differ. Equations 259, No. 11, 6494-6509 (2015). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C25 34C07 × Cite Format Result Cite Review PDF Full Text: DOI
Algaba, Antonio; García, Cristóbal; Giné, Jaume On the formal integrability problem for planar differential systems. (English) Zbl 1282.34005 Abstr. Appl. Anal. 2013, Article ID 482305, 10 p. (2013). Reviewer: M. A. M. Alwash (Culver City) MSC: 34A05 34C05 34C25 34C45 × Cite Format Result Cite Review PDF Full Text: DOI OA License