Huzak, Renato; Rojas, David Abelian integrals and non-generic turning points. (English) Zbl 1504.34084 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 77, 18 p. (2022). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C08 34E15 34E17 PDFBibTeX XMLCite \textit{R. Huzak} and \textit{D. Rojas}, Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 77, 18 p. (2022; Zbl 1504.34084) Full Text: DOI
Zhang, Huiyang; Xia, Yonghui Periodic wave solution of the generalized Burgers-Fisher equation via abelian integral. (English) Zbl 1501.34033 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 64, 13 p. (2022). Reviewer: Jihua Yang (Guyuan) MSC: 34C08 34C05 34C37 35C07 35K58 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{Y. Xia}, Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 64, 13 p. (2022; Zbl 1501.34033) Full Text: DOI
Chen, Jiangbin; Han, Maoan Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system. (English) Zbl 1525.34041 Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 34, 42 p. (2022). MSC: 34A36 34C05 34C07 34C23 34C08 37J40 34C37 PDFBibTeX XMLCite \textit{J. Chen} and \textit{M. Han}, Qual. Theory Dyn. Syst. 21, No. 2, Paper No. 34, 42 p. (2022; Zbl 1525.34041) Full Text: DOI
Ge, Jianjiang; Wu, Ranchao; Du, Zengji Dynamics of traveling waves for the perturbed generalized KdV equation. (English) Zbl 1472.35296 Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 42, 35 p. (2021). MSC: 35Q35 35Q53 35L05 34D15 35C07 35C09 35C08 35B25 35R01 PDFBibTeX XMLCite \textit{J. Ge} et al., Qual. Theory Dyn. Syst. 20, No. 2, Paper No. 42, 35 p. (2021; Zbl 1472.35296) Full Text: DOI
Li, Hong; Sun, Hongquan; Zhu, Wenjing Solitary waves and periodic waves in a perturbed KdV equation. (English) Zbl 1454.34053 Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 83, 18 p. (2020). MSC: 34C05 34C08 34C23 34C37 34E15 35C07 35Q53 PDFBibTeX XMLCite \textit{H. Li} et al., Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 83, 18 p. (2020; Zbl 1454.34053) Full Text: DOI
Yang, Sumin; Qin, Bin; Xia, Guoen; Xia, Yong-Hui Perturbation of a period annulus bounded by a saddle-saddle cycle in a hyperelliptic Hamiltonian systems of degree seven. (English) Zbl 1446.34055 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 33, 20 p. (2020). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C08 34C07 34C23 34E10 37J40 34C37 PDFBibTeX XMLCite \textit{S. Yang} et al., Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 33, 20 p. (2020; Zbl 1446.34055) Full Text: DOI
Yang, Jihua; Sui, Shiyou; Zhao, Liqin On the number of zeros of abelian integral for a class of cubic Hamilton systems with the phase portrait “butterfly”. (English) Zbl 1431.34043 Qual. Theory Dyn. Syst. 18, No. 3, 947-967 (2019). MSC: 34C08 34E10 37J40 34C07 34C23 PDFBibTeX XMLCite \textit{J. Yang} et al., Qual. Theory Dyn. Syst. 18, No. 3, 947--967 (2019; Zbl 1431.34043) Full Text: DOI
Gasull, Armengol; Lázaro, J. Tomás; Torregrosa, Joan Rational parameterizations approach for solving equations in some dynamical systems problems. (English) Zbl 1423.34040 Qual. Theory Dyn. Syst. 18, No. 2, 583-602 (2019). MSC: 34C23 13P15 14Q05 34C08 37N05 70G10 PDFBibTeX XMLCite \textit{A. Gasull} et al., Qual. Theory Dyn. Syst. 18, No. 2, 583--602 (2019; Zbl 1423.34040) Full Text: DOI Link
Mégret, Lucile Studies of the Petrov module for a family of generalized Liénard integrable systems. (English) Zbl 1426.34044 Qual. Theory Dyn. Syst. 17, No. 3, 519-539 (2018). Reviewer: Iliya Iliev (Sofia) MSC: 34C08 34C05 34C14 PDFBibTeX XMLCite \textit{L. Mégret}, Qual. Theory Dyn. Syst. 17, No. 3, 519--539 (2018; Zbl 1426.34044) Full Text: DOI HAL
Marín, D.; Villadelprat, J. On the Chebyshev property of certain abelian integrals near a polycycle. (English) Zbl 1394.34058 Qual. Theory Dyn. Syst. 17, No. 1, 261-270 (2018). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C08 34C37 34E15 PDFBibTeX XMLCite \textit{D. Marín} and \textit{J. Villadelprat}, Qual. Theory Dyn. Syst. 17, No. 1, 261--270 (2018; Zbl 1394.34058) Full Text: DOI Link
Novikov, Dmitry; Malev, Sergey Linear estimate for the number of zeros of abelian integrals. (English) Zbl 1418.34074 Qual. Theory Dyn. Syst. 16, No. 3, 689-696 (2017). MSC: 34C07 34C08 PDFBibTeX XMLCite \textit{D. Novikov} and \textit{S. Malev}, Qual. Theory Dyn. Syst. 16, No. 3, 689--696 (2017; Zbl 1418.34074) Full Text: DOI arXiv
Sun, Xianbo Perturbation of a period annulus bounded by a heteroclinic loop connecting two hyperbolic saddles. (English) Zbl 1385.37077 Qual. Theory Dyn. Syst. 16, No. 1, 187-203 (2017). Reviewer: Vladimir Răsvan (Craiova) MSC: 37J40 37J45 37J25 34C07 PDFBibTeX XMLCite \textit{X. Sun}, Qual. Theory Dyn. Syst. 16, No. 1, 187--203 (2017; Zbl 1385.37077) Full Text: DOI
Rebollo-Perdomo, Salomón Poincaré-Pontryagin-Melnikov functions for a type of perturbed degenerate Hamiltonian equations. (English) Zbl 1386.34059 Qual. Theory Dyn. Syst. 16, No. 1, 149-174 (2017). MSC: 34C08 37J40 PDFBibTeX XMLCite \textit{S. Rebollo-Perdomo}, Qual. Theory Dyn. Syst. 16, No. 1, 149--174 (2017; Zbl 1386.34059) Full Text: DOI
Yang, Jihua; Zhao, Liqin The perturbation of a class of hyper-elliptic Hamilton system with a double eight figure loop. (English) Zbl 1384.37079 Qual. Theory Dyn. Syst. 16, No. 2, 317-360 (2017). Reviewer: Valery A. Gaiko (Minsk) MSC: 37J40 34C08 34C07 PDFBibTeX XMLCite \textit{J. Yang} and \textit{L. Zhao}, Qual. Theory Dyn. Syst. 16, No. 2, 317--360 (2017; Zbl 1384.37079) Full Text: DOI
Briskin, M.; Pakovich, F.; Yomdin, Y. Parametric center-focus problem for Abel equation. (English) Zbl 1318.34046 Qual. Theory Dyn. Syst. 13, No. 2, 289-303 (2014). Reviewer: Jaume Giné (Lleida) MSC: 34C05 34C25 34C08 PDFBibTeX XMLCite \textit{M. Briskin} et al., Qual. Theory Dyn. Syst. 13, No. 2, 289--303 (2014; Zbl 1318.34046) Full Text: DOI arXiv
Li, Chengzhi Abelian integrals and limit cycles. (English) Zbl 1270.34004 Qual. Theory Dyn. Syst. 11, No. 1, 111-128 (2012). Reviewer: Valery Romanovski (Maribor) MSC: 34-02 34C07 34C08 37G15 PDFBibTeX XMLCite \textit{C. Li}, Qual. Theory Dyn. Syst. 11, No. 1, 111--128 (2012; Zbl 1270.34004) Full Text: DOI
Bobieński, Marcin Invariant torus in 3D Lotka-Volterra systems appearing after perturbation of Hopf center. (English) Zbl 1219.34062 Qual. Theory Dyn. Syst. 10, No. 1, 51-64 (2011). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 34C45 34C23 34C05 34A05 PDFBibTeX XMLCite \textit{M. Bobieński}, Qual. Theory Dyn. Syst. 10, No. 1, 51--64 (2011; Zbl 1219.34062) Full Text: DOI
Li, Chengzhi; Llibre, Jaume Quadratic perturbations of a quadratic reversible Lotka-Volterra system. (English) Zbl 1213.34071 Qual. Theory Dyn. Syst. 9, No. 1-2, 235-249 (2010). Reviewer: Gheorghe Tigan (Timisoara) MSC: 34E10 34C07 34C08 34C05 34C23 34C14 PDFBibTeX XMLCite \textit{C. Li} and \textit{J. Llibre}, Qual. Theory Dyn. Syst. 9, No. 1--2, 235--249 (2010; Zbl 1213.34071) Full Text: DOI
Rebollo-Perdomo, Salomón The infinitesimal Hilbert’s 16th problem in the real and complex planes. (English) Zbl 1311.34066 Qual. Theory Dyn. Syst. 7, No. 2, 467-500 (2009). MSC: 34C07 37F75 PDFBibTeX XMLCite \textit{S. Rebollo-Perdomo}, Qual. Theory Dyn. Syst. 7, No. 2, 467--500 (2009; Zbl 1311.34066) Full Text: DOI
Jebrane, Ahmed; Żołądek, Henryk A note on higher order Melnikov functions. (English) Zbl 1144.34024 Qual. Theory Dyn. Syst. 6, No. 2, 273-287 (2005). Reviewer: Iliya Iliev (Sofia) MSC: 34C08 34C07 37C10 37J35 34C05 PDFBibTeX XMLCite \textit{A. Jebrane} and \textit{H. Żołądek}, Qual. Theory Dyn. Syst. 6, No. 2, 273--287 (2005; Zbl 1144.34024) Full Text: DOI
Li, Jinming Limit cycles bifurcated from a reversible quadratic center. (English) Zbl 1142.34019 Qual. Theory Dyn. Syst. 6, No. 2, 205-215 (2005). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{J. Li}, Qual. Theory Dyn. Syst. 6, No. 2, 205--215 (2005; Zbl 1142.34019) Full Text: DOI
Roussarie, Robert; Schlomiuk, Dana On the geometric structure of the class of planar quadratic differential systems. (English) Zbl 1043.34035 Qual. Theory Dyn. Syst. 3, No. 1, 93-121 (2002). Reviewer: F. M. Mahomed (Johannesburg) MSC: 34C14 34C08 37C10 PDFBibTeX XMLCite \textit{R. Roussarie} and \textit{D. Schlomiuk}, Qual. Theory Dyn. Syst. 3, No. 1, 93--121 (2002; Zbl 1043.34035) Full Text: DOI
Grigoriev, Alexei; Yomdin, Yosef Rotation rate of a trajectory of an algebraic vector field around an algebraic curve. (English) Zbl 1081.37013 Qual. Theory Dyn. Syst. 2, No. 1, 61-66 (2001). MSC: 37C10 34C05 34C08 PDFBibTeX XMLCite \textit{A. Grigoriev} and \textit{Y. Yomdin}, Qual. Theory Dyn. Syst. 2, No. 1, 61--66 (2001; Zbl 1081.37013) Full Text: DOI