Zhang, Weide On limit cycles for a class of differential systems with positive definite polynomials. (English) Zbl 1324.34077 Ann. Differ. Equations 30, No. 4, 466-472 (2014). MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{W. Zhang}, Ann. Differ. Equations 30, No. 4, 466--472 (2014; Zbl 1324.34077)
He, Xianping; Feng, Jingjing; Wang, Qinlong Limit cycle bifurcations for a class of degenerate singularities. (English) Zbl 1313.34118 Ann. Differ. Equations 30, No. 2, 150-156 (2014). MSC: 34C23 34C05 34C07 PDFBibTeX XMLCite \textit{X. He} et al., Ann. Differ. Equations 30, No. 2, 150--156 (2014; Zbl 1313.34118)
Zhao, Yanan; An, Yulian Limit cycle bifurcations of non-smooth near-Hamiltonian systems. (English) Zbl 1274.34120 Ann. Differ. Equations 28, No. 4, 494-501 (2012). MSC: 34C23 34C07 34A36 34C08 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{Y. An}, Ann. Differ. Equations 28, No. 4, 494--501 (2012; Zbl 1274.34120)
Boulfoul, Amel; Makhlouf, Amar Limit cycles of the generalized polynomial Liénard differential equations. (English) Zbl 1265.34121 Ann. Differ. Equations 28, No. 2, 127-131 (2012). MSC: 34C07 34C29 34C05 PDFBibTeX XMLCite \textit{A. Boulfoul} and \textit{A. Makhlouf}, Ann. Differ. Equations 28, No. 2, 127--131 (2012; Zbl 1265.34121)
Badi, Sabrina; Makhlouf, Amar Limit cycles of a generalized Liénard differential equation via averaging theory. (English) Zbl 1265.34115 Ann. Differ. Equations 27, No. 4, 472-479 (2011). MSC: 34C05 34C29 34C07 PDFBibTeX XMLCite \textit{S. Badi} and \textit{A. Makhlouf}, Ann. Differ. Equations 27, No. 4, 472--479 (2011; Zbl 1265.34115)
Zhang, Liuwei; Xu, Yuantong Positive weighted pseudo-almost periodic solutions to an infinite delay integral equation. (English) Zbl 1249.45017 Ann. Differ. Equations 27, No. 2, 253-257 (2011). MSC: 45M15 45M20 45G10 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{Y. Xu}, Ann. Differ. Equations 27, No. 2, 253--257 (2011; Zbl 1249.45017)
Yang, Zhiyan; Jiang, Tao The same distribution of limit cycles to perturbed cubic Hamiltonian systems with different perturbations. (English) Zbl 1249.34107 Ann. Differ. Equations 27, No. 2, 241-247 (2011). MSC: 34C05 34C07 37J40 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{T. Jiang}, Ann. Differ. Equations 27, No. 2, 241--247 (2011; Zbl 1249.34107)
Tian, Yun; Xing, Yepeng On the number of limit cycles of a cubic system near a cuspidal loop. (English) Zbl 1240.34174 Ann. Differ. Equations 26, No. 2, 222-226 (2010). MSC: 34C07 34C23 34C37 34C05 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{Y. Xing}, Ann. Differ. Equations 26, No. 2, 222--226 (2010; Zbl 1240.34174)
Ma, Hongyan; Han, Maoan; Lhotka, Christoph Limit cycles of some \(Z_3\)-equivariant near-Hamiltonian systems of degrees 3 and 4. (English) Zbl 1199.34164 Ann. Differ. Equations 25, No. 2, 170-178 (2009). MSC: 34C07 34C05 37J45 37G40 34C14 34D10 PDFBibTeX XMLCite \textit{H. Ma} et al., Ann. Differ. Equations 25, No. 2, 170--178 (2009; Zbl 1199.34164)
Yu, Jianhua; Song, Yan The Poincaré bifurcation in cubic Hamiltonian systems with heteroclinic loop. (English) Zbl 1199.34191 Ann. Differ. Equations 24, No. 4, 477-483 (2008). MSC: 34C23 34C07 34C05 34C37 PDFBibTeX XMLCite \textit{J. Yu} and \textit{Y. Song}, Ann. Differ. Equations 24, No. 4, 477--483 (2008; Zbl 1199.34191)
Jin, Shan; Lu, Shiping The uniqueness of limit cycle and critical point for a class of cubic system. (English) Zbl 1174.34385 Ann. Differ. Equations 24, No. 2, 157-162 (2008). MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{S. Jin} and \textit{S. Lu}, Ann. Differ. Equations 24, No. 2, 157--162 (2008; Zbl 1174.34385)
Zhang, Weide Limit cycles for a class of differential system with positive definite polynomial. (English) Zbl 1140.34352 Ann. Differ. Equations 23, No. 2, 234-242 (2007). MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{W. Zhang}, Ann. Differ. Equations 23, No. 2, 234--242 (2007; Zbl 1140.34352)
Ji, Ming; Song, Yan The Poincaré bifurcation of a cubic Hamiltonian system with homoclinic loop. (English) Zbl 1132.34031 Ann. Differ. Equations 22, No. 3, 283-287 (2006). Reviewer: Josef Hainzl (Freiburg) MSC: 34C07 34C05 34C23 37J45 PDFBibTeX XMLCite \textit{M. Ji} and \textit{Y. Song}, Ann. Differ. Equations 22, No. 3, 283--287 (2006; Zbl 1132.34031)
Zhang, Yan; Li, Cuiping A special complete hyper-elliptic integral of the first kind. (English) Zbl 1124.34329 Ann. Differ. Equations 22, No. 4, 602-610 (2006). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C08 34C07 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{C. Li}, Ann. Differ. Equations 22, No. 4, 602--610 (2006; Zbl 1124.34329)
Chen, Xiudong; Chen, Yong On the conjecture of A. Lins, W. de Melo and C. C. Pugh. (English) Zbl 1115.34031 Ann. Differ. Equations 22, No. 2, 144-148 (2006). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Y. Chen}, Ann. Differ. Equations 22, No. 2, 144--148 (2006; Zbl 1115.34031)
Xie, Xiangdong; Chen, Fengde The uniqueness of limit cycle and the structure of critical point at infinity for a class of cubic system. (English) Zbl 1096.34523 Ann. Differ. Equations 21, No. 3, 474-479 (2005). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{X. Xie} and \textit{F. Chen}, Ann. Differ. Equations 21, No. 3, 474--479 (2005; Zbl 1096.34523)
Liu, Tiecheng; Song, Yan The Poincaré bifurcation of cubic Hamiltonian systems with double centers. (English) Zbl 1096.34525 Ann. Differ. Equations 21, No. 3, 349-352 (2005). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C23 PDFBibTeX XMLCite \textit{T. Liu} and \textit{Y. Song}, Ann. Differ. Equations 21, No. 3, 349--352 (2005; Zbl 1096.34525)
Gang, Jiatai; Dong, Xiangyu Poincaré bifurcation for quadratic systems with a center region and an unbounded triangular region. (English) Zbl 1096.34524 Ann. Differ. Equations 21, No. 3, 279-285 (2005). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 PDFBibTeX XMLCite \textit{J. Gang} and \textit{X. Dong}, Ann. Differ. Equations 21, No. 3, 279--285 (2005; Zbl 1096.34524)
Elamin, Ali; Saeed, M. Qualitative study for a cubic system. (English) Zbl 1076.34034 Ann. Differ. Equations 20, No. 4, 331-336 (2004). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C23 34C05 PDFBibTeX XMLCite \textit{A. Elamin} and \textit{M. Saeed}, Ann. Differ. Equations 20, No. 4, 331--336 (2004; Zbl 1076.34034)
Shen, Cong; Shen, Boqian Existence of limit cycles for a cubic Kolmogorov system with a parabolic solution which does not contact and intersect the coordinate axes. (English) Zbl 1065.34023 Ann. Differ. Equations 20, No. 2, 168-172 (2004). Reviewer: Alexander Grin (Grodno) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{C. Shen} and \textit{B. Shen}, Ann. Differ. Equations 20, No. 2, 168--172 (2004; Zbl 1065.34023)
Yue, Xiting; Suo, Mingxia A class of quadratic differential systems with a third order weak focus. (English) Zbl 1095.34523 Ann. Differ. Equations 19, No. 3, 427-430 (2003). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{X. Yue} and \textit{M. Suo}, Ann. Differ. Equations 19, No. 3, 427--430 (2003; Zbl 1095.34523)
Suo, Mingxia; Yue, Xiting The maximal number of limit cycles for the quadratic differential system \(\dot x= -y+ lx^2+ xy\), \(\dot y= x(1+ ax+ by)\). (English) Zbl 1056.34048 Ann. Differ. Equations 19, No. 3, 397-401 (2003). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{M. Suo} and \textit{X. Yue}, Ann. Differ. Equations 19, No. 3, 397--401 (2003; Zbl 1056.34048)
Xiao, Min; Luo, Dingjun Distributions of limit cycles for polynomial vector fields \((P_2, Q_3)\). (English) Zbl 1055.34063 Ann. Differ. Equations 19, No. 1, 84-92 (2003). Reviewer: Christian Mira (Quint) MSC: 34C05 34C07 34C23 37G15 PDFBibTeX XMLCite \textit{M. Xiao} and \textit{D. Luo}, Ann. Differ. Equations 19, No. 1, 84--92 (2003; Zbl 1055.34063)
Song, Yu Uniqueness and distribution of limit cycles for bounded quadratic systems. (English) Zbl 0999.34026 Ann. Differ. Equations 17, No. 4, 352-362 (2001). Reviewer: V.A.Gaiko (Minsk) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{Y. Song}, Ann. Differ. Equations 17, No. 4, 352--362 (2001; Zbl 0999.34026)
Zhang, Pingguang Quadratic systems with a 3rd-order (or 2nd-order) weak focus. (English) Zbl 0995.34023 Ann. Differ. Equations 17, No. 3, 287-294 (2001). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 34C07 34C05 37C27 34D20 PDFBibTeX XMLCite \textit{P. Zhang}, Ann. Differ. Equations 17, No. 3, 287--294 (2001; Zbl 0995.34023)
Meng, Zheng; Han, Maoan; Gu, Shengshi Global bifurcations of limit cycles for a cubic system. (English) Zbl 0980.34025 Ann. Differ. Equations 16, No. 3, 263-269 (2000). Reviewer: Armengol Gasull (Bellaterra, Barcelona) MSC: 34C07 37G15 34C23 34C05 34C08 PDFBibTeX XMLCite \textit{Z. Meng} et al., Ann. Differ. Equations 16, No. 3, 263--269 (2000; Zbl 0980.34025)
Wu, Yongbin; Chen, Guowei; Yang, Xinan Kukles system with two fine foci. (English) Zbl 0966.34027 Ann. Differ. Equations 15, No. 4, 422-437 (1999). Reviewer: V.A.Gaiko (Minsk) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{Y. Wu} et al., Ann. Differ. Equations 15, No. 4, 422--437 (1999; Zbl 0966.34027)
Ye, Yanqian On index-inverse planar differential systems. I. (English) Zbl 0968.34022 Ann. Differ. Equations 15, No. 2, 211-220 (1999). MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{Y. Ye}, Ann. Differ. Equations 15, No. 2, 211--220 (1999; Zbl 0968.34022)
Li, Jibin; Liu, Zhengrong On the connection between two parts of Hilbert’s 16th problem and equivariant bifurcation problem. (English) Zbl 0967.34025 Ann. Differ. Equations 14, No. 2, 224-235 (1998). MSC: 34C07 34C23 34C05 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Liu}, Ann. Differ. Equations 14, No. 2, 224--235 (1998; Zbl 0967.34025)
Zhao, Yulin; Zhang, Zhifen An estimate of the number of zeros of Abelian integrals for cubic vector fields with cuspidal loop. (English) Zbl 0967.34027 Ann. Differ. Equations 14, No. 2, 434-445 (1998). MSC: 34C08 14K20 34C05 34C23 37G15 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{Z. Zhang}, Ann. Differ. Equations 14, No. 2, 434--445 (1998; Zbl 0967.34027)
Ye, Yanqian On Hilbert’s \(16\)th problem in the case \(n=2\). (English) Zbl 0865.34024 Ann. Differ. Equations 12, No. 1, 110-116 (1996). Reviewer: Di Zhang (Xian) MSC: 34C05 PDFBibTeX XMLCite \textit{Y. Ye}, Ann. Differ. Equations 12, No. 1, 110--116 (1996; Zbl 0865.34024)