Ouyang, Yuting; He, Dongping; Huang, Wentao Nine limit cycles around a weak focus in a class of three-dimensional cubic Kukles systems. (English) Zbl 07815928 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 101, 16 p. (2024). MSC: 34C05 34C07 34C23 PDFBibTeX XMLCite \textit{Y. Ouyang} et al., Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 101, 16 p. (2024; Zbl 07815928) Full Text: DOI
Liu, Yuan; Zegeling, André; Huang, Wentao The application of Liénard transformations to predator-prey systems. (English) Zbl 07815918 Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 91, 33 p. (2024). MSC: 34-XX 37-XX PDFBibTeX XMLCite \textit{Y. Liu} et al., Qual. Theory Dyn. Syst. 23, No. 2, Paper No. 91, 33 p. (2024; Zbl 07815918) Full Text: DOI
Li, Jing; Sun, Xianbo; Huang, Wentao Limit cycles near a homoclinic loop connecting a tangent saddle in a perturbed quadratic Hamiltonian system. (English) Zbl 1516.37061 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107148, 17 p. (2023). MSC: 37J20 37J25 70K05 PDFBibTeX XMLCite \textit{J. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107148, 17 p. (2023; Zbl 1516.37061) Full Text: DOI
Gu, Jieping; Zegeling, André; Huang, Wentao Bifurcation of limit cycles and isochronous centers on center manifolds for a class of cubic Kolmogorov systems in \(\mathbb{R}^3\). (English) Zbl 1517.34043 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 42, 27 p. (2023). Reviewer: Qinlong Wang (Guilin) MSC: 34C07 34C05 34C23 34C45 PDFBibTeX XMLCite \textit{J. Gu} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 42, 27 p. (2023; Zbl 1517.34043) Full Text: DOI
Huang, Wentao; Gu, Jieping; Wang, Qinlong; Zegeling, André Bifurcation of limit cycles and isochronous centers on center manifolds for four-dimensional systems. (English) Zbl 07780529 Math. Methods Appl. Sci. 45, No. 4, 2151-2165 (2022). Reviewer: Yanqin Xiong (Nanjing) MSC: 34C05 34C23 34C45 34C07 34C25 PDFBibTeX XMLCite \textit{W. Huang} et al., Math. Methods Appl. Sci. 45, No. 4, 2151--2165 (2022; Zbl 07780529) Full Text: DOI
Lu, Liping; Huang, Wentao Upper bound on the number of zeros of abelian integrals for hyperbolic Hamiltonian systems of degree seven. (English) Zbl 1506.37078 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250087, 15 p. (2022). Reviewer: Maite Grau (Lleida) MSC: 37J38 37J20 37J46 34C08 34C07 PDFBibTeX XMLCite \textit{L. Lu} and \textit{W. Huang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 6, Article ID 2250087, 15 p. (2022; Zbl 1506.37078) Full Text: DOI
Huang, Wentao; He, Dongping; Cai, Junning Local cyclicity and criticality in FF-type piecewise smooth cubic and quartic Kukles systems. (English) Zbl 1506.34044 Nonlinear Anal., Real World Appl. 67, Article ID 103565, 45 p. (2022). Reviewer: Valentine Tyshchenko (Grodno) MSC: 34C05 34C07 34A36 34C23 PDFBibTeX XMLCite \textit{W. Huang} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103565, 45 p. (2022; Zbl 1506.34044) Full Text: DOI
Wang, Qinlong; Xiong, Yu’e; Huang, Wentao; Yu, Pei Isolated periodic wave solutions arising from Hopf and Poincaré bifurcations in a class of single species model. (English) Zbl 1494.34113 J. Differ. Equations 311, 59-80 (2022). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C05 34C23 34C37 92D25 35C07 35K57 PDFBibTeX XMLCite \textit{Q. Wang} et al., J. Differ. Equations 311, 59--80 (2022; Zbl 1494.34113) Full Text: DOI
He, Dongping; Huang, Wentao; Sun, Shanlin Center conditions and bifurcation of limit cycles for two classes of BiLiénard systems. (English) Zbl 1463.34139 J. Nat. Sci. Heilongjiang Univ. 37, No. 2, 173-180 (2020). MSC: 34C07 34C05 34C23 PDFBibTeX XMLCite \textit{D. He} et al., J. Nat. Sci. Heilongjiang Univ. 37, No. 2, 173--180 (2020; Zbl 1463.34139) Full Text: DOI
He, Dongping; Huang, Wentao; Wang, Qinlong Small amplitude limit cycles and local bifurcation of critical periods for a quartic Kolmogorov system. (English) Zbl 1446.34050 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 68, 18 p. (2020). MSC: 34C05 34C07 34E10 34C23 PDFBibTeX XMLCite \textit{D. He} et al., Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 68, 18 p. (2020; Zbl 1446.34050) Full Text: DOI
He, Dongping; Huang, Wentao; Wang, Qinlong Limit cycle flutter and chaotic motion of two-dimensional airfoil system. (Chinese. English summary) Zbl 1449.34139 J. Guangxi Norm. Univ., Nat. Sci. 37, No. 3, 87-95 (2019). MSC: 34C60 34C23 34C28 34C05 34C45 34D20 PDFBibTeX XMLCite \textit{D. He} et al., J. Guangxi Norm. Univ., Nat. Sci. 37, No. 3, 87--95 (2019; Zbl 1449.34139) Full Text: DOI
Xia, Yonghui; Grašič, Mateja; Huang, Wentao; Romanovski, Valery G. Limit cycles in a model of olfactory sensory neurons. (English) Zbl 1414.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 3, Article ID 1950038, 9 p. (2019). MSC: 34C60 92C30 34C05 34C23 34C45 PDFBibTeX XMLCite \textit{Y. Xia} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 3, Article ID 1950038, 9 p. (2019; Zbl 1414.34041) Full Text: DOI arXiv
Xiong, Feng; Huang, Wentao The lower bounds of limit cycles for three classes of Liénard systems. (Chinese. English summary) Zbl 1424.34117 Acta Sci. Nat. Univ. Sunyatseni 57, No. 6, 154-161 (2018). MSC: 34C07 34C05 34C23 PDFBibTeX XMLCite \textit{F. Xiong} and \textit{W. Huang}, Acta Sci. Nat. Univ. Sunyatseni 57, No. 6, 154--161 (2018; Zbl 1424.34117) Full Text: DOI
Cai, Junning; Huang, Wentao; Wei, Minzhi Small-amplitude limit cycles for a class of \(\left ( {m = 5,n = 10} \right)\) Liénard system. (English) Zbl 1424.34113 J. Shanghai Norm. Univ., Nat. Sci. 47, No. 3, 383-388 (2018). MSC: 34C07 34C05 34C23 PDFBibTeX XMLCite \textit{J. Cai} et al., J. Shanghai Norm. Univ., Nat. Sci. 47, No. 3, 383--388 (2018; Zbl 1424.34113)
Chen, Ting; Huang, Lihong; Yu, Pei; Huang, Wentao Bifurcation of limit cycles at infinity in piecewise polynomial systems. (English) Zbl 1387.34059 Nonlinear Anal., Real World Appl. 41, 82-106 (2018). Reviewer: Vladimir Jacimovic (Podgorica) MSC: 34C23 34C05 34A36 PDFBibTeX XMLCite \textit{T. Chen} et al., Nonlinear Anal., Real World Appl. 41, 82--106 (2018; Zbl 1387.34059) Full Text: DOI
Sun, Xianbo; Huang, Wentao Bounding the number of limit cycles for a polynomial Liénard system by using regular chains. (English) Zbl 1365.34063 J. Symb. Comput. 79, Part 2, 197-210 (2017). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34C23 PDFBibTeX XMLCite \textit{X. Sun} and \textit{W. Huang}, J. Symb. Comput. 79, Part 2, 197--210 (2017; Zbl 1365.34063) Full Text: DOI
Du, Chaoxiong; Liu, Yirong; Huang, Wentao Behavior of limit cycle bifurcations for a class of quartic Kolmogorov models in a symmetrical vector field. (English) Zbl 1459.34084 Appl. Math. Modelling 40, No. 5-6, 4094-4108 (2016). MSC: 34C07 34C23 37G15 PDFBibTeX XMLCite \textit{C. Du} et al., Appl. Math. Modelling 40, No. 5--6, 4094--4108 (2016; Zbl 1459.34084) Full Text: DOI
Du, Chaoxiong; Huang, Wentao; Zhang, Qi Center problem and the bifurcation of limit cycles for a cubic polynomial system. (English) Zbl 1443.34028 Appl. Math. Modelling 39, No. 17, 5200-5215 (2015). MSC: 34C07 34C23 PDFBibTeX XMLCite \textit{C. Du} et al., Appl. Math. Modelling 39, No. 17, 5200--5215 (2015; Zbl 1443.34028) Full Text: DOI
Sang, Bo; Wang, Qin-Long; Huang, Wen-Tao Computation of focal values and stability analysis of 4-dimensional systems. (English) Zbl 1329.34070 Electron. J. Differ. Equ. 2015, Paper No. 209, 11 p. (2015). MSC: 34C05 34C07 34C23 PDFBibTeX XMLCite \textit{B. Sang} et al., Electron. J. Differ. Equ. 2015, Paper No. 209, 11 p. (2015; Zbl 1329.34070) Full Text: EMIS
Lu, Jingping; Huang, Wentao Qualitative analysis of a class of quintic differential systems. (Chinese. English summary) Zbl 1289.34093 Math. Pract. Theory 43, No. 4, 225-231 (2013). MSC: 34C05 PDFBibTeX XMLCite \textit{J. Lu} and \textit{W. Huang}, Math. Pract. Theory 43, No. 4, 225--231 (2013; Zbl 1289.34093)
Huang, Wentao; Chen, Aiyong; Xu, Qiujin Bifurcation of limit cycles and isochronous centers for a quartic system. (English) Zbl 1277.34044 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 10, Article ID 1350172, 10 p. (2013). MSC: 34C23 34C05 34C25 34C07 PDFBibTeX XMLCite \textit{W. Huang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 10, Article ID 1350172, 10 p. (2013; Zbl 1277.34044) Full Text: DOI
Fan, Xingyu; Huang, Wentao; Chen, Aiyong The number of limit cycles for a quartic Hamiltonian system. (Chinese. English summary) Zbl 1265.34122 Acta Sci. Nat. Univ. Sunyatseni 51, No. 2, 35-39 (2012). MSC: 34C07 34C05 37J45 PDFBibTeX XMLCite \textit{X. Fan} et al., Acta Sci. Nat. Univ. Sunyatseni 51, No. 2, 35--39 (2012; Zbl 1265.34122)
Huang, Wentao; Liu, Yirong; Zhang, Weinian Bifurcation of limit cycles and isochronous center at infinity for a class of differential systems. (English) Zbl 1304.34060 J. Appl. Anal. Comput. 1, No. 3, 397-410 (2011). MSC: 34C07 34C23 PDFBibTeX XMLCite \textit{W. Huang} et al., J. Appl. Anal. Comput. 1, No. 3, 397--410 (2011; Zbl 1304.34060)
Wang, Qinlong; Huang, Wentao; Wu, Haotao Bifurcation of limit cycles for 3D Lotka-Volterra competitive systems. (English) Zbl 1223.34073 Acta Appl. Math. 114, No. 3, 207-218 (2011). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 34C23 92D25 PDFBibTeX XMLCite \textit{Q. Wang} et al., Acta Appl. Math. 114, No. 3, 207--218 (2011; Zbl 1223.34073) Full Text: DOI
Wu, Haitao; Huang, Wentao; Liang, Dehui A class of seventh-degree polynomial system with twelve large-amplitude limit cycles. (Chinese. English summary) Zbl 1212.34104 J. Lanzhou Univ., Nat. Sci. 45, No. 4, 121-126 (2009). MSC: 34C07 34C23 34C05 PDFBibTeX XMLCite \textit{H. Wu} et al., J. Lanzhou Univ., Nat. Sci. 45, No. 4, 121--126 (2009; Zbl 1212.34104)
Luo, Guoxiang; Huang, Wentao; Xu, Huixu Bifurcations of limit cycles from infinity for a class of \(2n+1\) degree polynomial differential system. (Chinese. English summary) Zbl 1199.34189 J. Henan Norm. Univ., Nat. Sci. 36, No. 6, 27-29 (2008). MSC: 34C23 34C07 37G15 34C05 PDFBibTeX XMLCite \textit{G. Luo} et al., J. Henan Norm. Univ., Nat. Sci. 36, No. 6, 27--29 (2008; Zbl 1199.34189)
Liu, Yirong; Huang, Wentao Seven large-amplitude limit cycles in a cubic polynomial system. (English) Zbl 1111.37035 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 2, 473-485 (2006). MSC: 37G15 34C07 34C05 37C10 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{W. Huang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 2, 473--485 (2006; Zbl 1111.37035) Full Text: DOI
Liu, Yirong; Huang, Wentao A cubic system with twelve small amplitude limit cycles. (English) Zbl 1086.34030 Bull. Sci. Math. 129, No. 2, 83-98 (2005). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 37G15 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{W. Huang}, Bull. Sci. Math. 129, No. 2, 83--98 (2005; Zbl 1086.34030) Full Text: DOI
Huang, Wentao; Liu, Yirong A polynomial differential system with eight limit cycles at infinity. (Chinese. English summary) Zbl 1068.34027 J. Math., Wuhan Univ. 24, No. 5, 551-556 (2004). MSC: 34C05 34C23 PDFBibTeX XMLCite \textit{W. Huang} and \textit{Y. Liu}, J. Math., Wuhan Univ. 24, No. 5, 551--556 (2004; Zbl 1068.34027)
Wang, Qinlong; Huang, Wentao Limit cycles bifurcated from the origin and equator for a class of polynomial systems of degree five. (English) Zbl 1058.34050 Ann. Differ. Equations 20, No. 1, 92-98 (2004). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C23 34C05 34D20 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{W. Huang}, Ann. Differ. Equations 20, No. 1, 92--98 (2004; Zbl 1058.34050)