Shi, Jianping; Jiang, Wentao Bifurcation of limit cycles in a 12-degree Hamiltonian system under thirteenth-order perturbation. (English) Zbl 1388.34032 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850011, 15 p. (2018). MSC: 34C23 34C07 34C14 34C37 37J40 PDFBibTeX XMLCite \textit{J. Shi} and \textit{W. Jiang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 1, Article ID 1850011, 15 p. (2018; Zbl 1388.34032) Full Text: DOI
Hong, Xiaochun; Wang, Yunqiu; Zhang, Xuemei Analysis of limit cycles to a perturbed integrable non-Hamiltonian system. (English) Zbl 1274.34090 Ann. Differ. Equations 28, No. 3, 263-268 (2012). MSC: 34C05 37G15 34C23 34A05 PDFBibTeX XMLCite \textit{X. Hong} et al., Ann. Differ. Equations 28, No. 3, 263--268 (2012; Zbl 1274.34090)
Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya Evolution of particle separation in slowly decorrelating velocity fields. (English) Zbl 1254.60042 Commun. Math. Sci. 10, No. 3, 767-786 (2012). MSC: 60G35 60H10 60F05 60G60 34F05 PDFBibTeX XMLCite \textit{T. Komorowski} et al., Commun. Math. Sci. 10, No. 3, 767--786 (2012; Zbl 1254.60042) Full Text: DOI
Li, J.; Zhang, W.; Miao, S. F.; Sun, M.; Tian, Y. Bifurcation set and number of limit cycles in \(Z_{2}\)-equivariant planar vector fields of degree 5. (English) Zbl 1243.37043 Appl. Math. Comput. 218, No. 9, 4944-4952 (2012). MSC: 37G15 34C07 34C23 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Comput. 218, No. 9, 4944--4952 (2012; Zbl 1243.37043) Full Text: DOI
Zhou, Hongxian; Zhang, Yan The number and distributions of limit cycles of a cubic Hamiltonian system with \(\mathbb Z_2\)-symmetry perturbation. (English) Zbl 1240.34172 Chin. Q. J. Math. 26, No. 1, 144-151 (2011). MSC: 34C05 34C14 34C23 PDFBibTeX XMLCite \textit{H. Zhou} and \textit{Y. Zhang}, Chin. Q. J. Math. 26, No. 1, 144--151 (2011; Zbl 1240.34172)
Alfaro Vigo, Daniel G.; Sølna, Knut Time reversal for inclusion detection in one dimensional randomly layered media. (English) Zbl 1230.60042 Ammari, Habib (ed.) et al., Mathematical and statistical methods for imaging. NIMS thematic workshop, Inha University, Incheon, Korea, August 10–13, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5289-7/pbk). Contemporary Mathematics 548, 101-127 (2011). MSC: 60G35 60F05 34F05 35L05 PDFBibTeX XMLCite \textit{D. G. Alfaro Vigo} and \textit{K. Sølna}, Contemp. Math. 548, 101--127 (2011; Zbl 1230.60042)
Zhou, Hongxian; Zhao, Yanmin Bifurcations of limit cycles in a \(Z_{4}\)-equivariant planar polynomial vector field of degree 7. (English) Zbl 1205.34032 Appl. Math. Comput. 216, No. 1, 35-50 (2010). MSC: 34C07 34C23 34C14 PDFBibTeX XMLCite \textit{H. Zhou} and \textit{Y. Zhao}, Appl. Math. Comput. 216, No. 1, 35--50 (2010; Zbl 1205.34032) Full Text: DOI
Bashkirtseva, Irina; Ryashko, Lev; Schurz, Henri Analysis of noise-induced transitions for Hopf system with additive and multiplicative random disturbances. (English) Zbl 1197.37069 Chaos Solitons Fractals 39, No. 1, 72-82 (2009). MSC: 37H10 34C23 34F05 37G15 60G35 PDFBibTeX XMLCite \textit{I. Bashkirtseva} et al., Chaos Solitons Fractals 39, No. 1, 72--82 (2009; Zbl 1197.37069) Full Text: DOI
Hong, Xiaochun Bifurcation of limit cycles in a cubic Hamiltonian system with perturbed terms and numerical simulation. (English) Zbl 1199.34186 J. Nat. Sci. Hunan Norm. Univ. 31, No. 3, 7-11, 33 (2008). MSC: 34C23 37J25 34C05 37G15 65P30 PDFBibTeX XMLCite \textit{X. Hong}, J. Nat. Sci. Hunan Norm. Univ. 31, No. 3, 7--11, 33 (2008; Zbl 1199.34186)
Jiang, Tao; Yang, Zhi-Yan The same distribution of limit cycles in a Hamiltonian system with nine seven-order perturbed terms. (English) Zbl 1144.34022 Acta Math. Appl. Sin., Engl. Ser. 24, No. 1, 167-176 (2008). Reviewer: Alexey Remizov (Porto) MSC: 34C05 34C07 37G15 34C23 37J45 PDFBibTeX XMLCite \textit{T. Jiang} and \textit{Z.-Y. Yang}, Acta Math. Appl. Sin., Engl. Ser. 24, No. 1, 167--176 (2008; Zbl 1144.34022) Full Text: DOI
Zhou, Hongxian; Xu, Wei; Zhao, Xiaoshan; Li, Shuang Detection function method and its application to a class of quintic Hamiltonian systems with quintic perturbations. (English) Zbl 1193.34063 Appl. Math. Comput. 191, No. 2, 490-503 (2007). MSC: 34C07 34C23 37C10 PDFBibTeX XMLCite \textit{H. Zhou} et al., Appl. Math. Comput. 191, No. 2, 490--503 (2007; Zbl 1193.34063) Full Text: DOI
Hong, Xiaochun; Hua, Cuncai Bifurcation of limit cycles for a class of differential systems. (English) Zbl 1166.34309 J. Nat. Sci., Nanjing Norm. Univ. 9, No. 1, 20-23 (2007). Reviewer: Alexander Grin (Grodno) MSC: 34C07 34C05 34C23 PDFBibTeX XMLCite \textit{X. Hong} and \textit{C. Hua}, J. Nat. Sci., Nanjing Norm. Univ. 9, No. 1, 20--23 (2007; Zbl 1166.34309)
Hong, Xiao-Chun; Qin, Qing-Hua Bifurcation of limit cycles in a cubic Hamiltonian system with some special perturbed terms. (English) Zbl 1171.34316 Int. J. Math. Sci. 6, No. 2, 187-198 (2007). Reviewer: He Chungyou (Nanjing) MSC: 34C23 34C07 37G15 34C08 PDFBibTeX XMLCite \textit{X.-C. Hong} and \textit{Q.-H. Qin}, Int. J. Math. Sci. 6, No. 2, 187--198 (2007; Zbl 1171.34316)
Hong, Xiaochun; Qin, Qinghua Limit cycle analysis on a cubic Hamiltonian system with quintic perturbed terms. (English) Zbl 1149.34024 Int. Math. Forum 1, No. 37-40, 1805-1818 (2006). Reviewer: Liqin Zhao (Beijing) MSC: 34C07 34C23 34C05 PDFBibTeX XMLCite \textit{X. Hong} and \textit{Q. Qin}, Int. Math. Forum 1, No. 37--40, 1805--1818 (2006; Zbl 1149.34024) Full Text: DOI
Tigan, Gheorghe Analysis of a perturbed Hamiltonian system. (English) Zbl 1164.34383 Mat. Bilt. 29, 47-60 (2005). Reviewer: Božidar Jovanović (Beograd) MSC: 34C07 34C05 34C08 PDFBibTeX XMLCite \textit{G. Tigan}, Mat. Bilt. 29, 47--60 (2005; Zbl 1164.34383)
Li, Jibin; Zhou, Hongxian On the control of parameters of distributions of limit cycles for a \(Z_2\)-equivariant perturbed planar Hamiltonian polynomial vector field. (English) Zbl 1077.34037 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 1, 137-155 (2005). Reviewer: Iliya Iliev (Sofia) MSC: 34C07 34C05 34C23 34C37 PDFBibTeX XMLCite \textit{J. Li} and \textit{H. Zhou}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 1, 137--155 (2005; Zbl 1077.34037) Full Text: DOI
Balakrishnan, J. Self-tuning to the Hopf bifurcation in fluctuating systems. (English) Zbl 1063.37071 J. Phys. A, Math. Gen. 38, No. 8, 1627-1652 (2005). MSC: 37N25 34C15 34C23 37G15 92C50 94A13 PDFBibTeX XMLCite \textit{J. Balakrishnan}, J. Phys. A, Math. Gen. 38, No. 8, 1627--1652 (2005; Zbl 1063.37071) Full Text: DOI arXiv
Hong, Xiaochun; Shi, Chuanzhu Twelve limit cycles in a cubic Hamiltonian system of planar with five-order perturbed term. (English) Zbl 1071.65098 J. Qufu Norm. Univ., Nat. Sci. 30, No. 2, 15-18 (2004). MSC: 65L05 34C07 34A34 65P10 PDFBibTeX XMLCite \textit{X. Hong} and \textit{C. Shi}, J. Qufu Norm. Univ., Nat. Sci. 30, No. 2, 15--18 (2004; Zbl 1071.65098)
Liu, Zhengrong; Qian, Tifei; Li, Jibin Detection function method and its application to a perturbed quintic Hamiltonian system. (English) Zbl 0994.37022 Chaos Solitons Fractals 13, No. 2, 295-310 (2002). MSC: 37G15 34C07 37M20 PDFBibTeX XMLCite \textit{Z. Liu} et al., Chaos Solitons Fractals 13, No. 2, 295--310 (2002; Zbl 0994.37022) Full Text: DOI
Wang, Ruiqi; Liu, Zhengrong; Jing, Zhujun Bifurcation set and distribution of limit cycles for a class of seven-order Hamiltonian system with fifteen-order perturbed terms. (English) Zbl 0994.37024 Chaos Solitons Fractals 13, No. 1, 61-69 (2002). MSC: 37G15 34C05 34C23 PDFBibTeX XMLCite \textit{R. Wang} et al., Chaos Solitons Fractals 13, No. 1, 61--69 (2002; Zbl 0994.37024) Full Text: DOI
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