Xu, Mingxing; Shi, Shaoyun; Huang, Kaiyin On the integrable stretch-twist-fold flow: bi-Hamiltonian structures and global dynamics. (English) Zbl 07812231 J. Math. Phys. 65, No. 2, Article ID 022704, 20 p. (2024). MSC: 81-XX 35-XX PDFBibTeX XMLCite \textit{M. Xu} et al., J. Math. Phys. 65, No. 2, Article ID 022704, 20 p. (2024; Zbl 07812231) Full Text: DOI
Huang, Kaiyin; Shi, Shaoyun; Yang, Shuangling Integrability and dynamics of the Poisson-Boltzmann equation in simple geometries. (English) Zbl 07793526 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107668, 18 p. (2024). MSC: 34A05 34C60 37J30 PDFBibTeX XMLCite \textit{K. Huang} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107668, 18 p. (2024; Zbl 07793526) Full Text: DOI
Xu, Mingxing; Shi, Shaoyun; Huang, Kaiyin The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping. (English) Zbl 07787720 Discrete Contin. Dyn. Syst. 44, No. 3, 791-807 (2024). MSC: 70H05 70K42 70K44 PDFBibTeX XMLCite \textit{M. Xu} et al., Discrete Contin. Dyn. Syst. 44, No. 3, 791--807 (2024; Zbl 07787720) Full Text: DOI
Huang, Kaiyin; Shi, Shaoyun; Yang, Shuangling Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application. (English) Zbl 1526.37069 Sci. China, Math. 66, No. 7, 1473-1494 (2023). MSC: 37J30 32H04 34C14 34M03 34M15 34M45 12H05 12H20 PDFBibTeX XMLCite \textit{K. Huang} et al., Sci. China, Math. 66, No. 7, 1473--1494 (2023; Zbl 1526.37069) Full Text: DOI arXiv
Yang, Shuangling; Shi, Shaoyun; Li, Wenlei On integrability of the segmented disc dynamo: the effect of mechanical friction. (English) Zbl 1510.70044 Z. Angew. Math. Phys. 73, No. 3, Paper No. 125, 33 p. (2022). MSC: 70H06 70H07 78A55 PDFBibTeX XMLCite \textit{S. Yang} et al., Z. Angew. Math. Phys. 73, No. 3, Paper No. 125, 33 p. (2022; Zbl 1510.70044) Full Text: DOI
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei Integrability analysis of the Shimizu-Morioka system. (English) Zbl 1456.34002 Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105101, 12 p. (2020). MSC: 34A05 34A34 34C14 PDFBibTeX XMLCite \textit{K. Huang} et al., Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105101, 12 p. (2020; Zbl 1456.34002) Full Text: DOI
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems. (English) Zbl 1470.34004 Regul. Chaotic Dyn. 25, No. 3, 295-312 (2020). Reviewer: Igor Leite Freire (Sao Paulo) MSC: 34A05 34M15 34M45 PDFBibTeX XMLCite \textit{K. Huang} et al., Regul. Chaotic Dyn. 25, No. 3, 295--312 (2020; Zbl 1470.34004) Full Text: DOI
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei First integrals of the Maxwell-Bloch system. (English. French summary) Zbl 1452.34022 C. R., Math., Acad. Sci. Paris 358, No. 1, 3-11 (2020). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A34 34A05 78A60 PDFBibTeX XMLCite \textit{K. Huang} et al., C. R., Math., Acad. Sci. Paris 358, No. 1, 3--11 (2020; Zbl 1452.34022) Full Text: DOI
Huang, Kaiyin; Shi, Shaoyun; Xu, Zhiguo Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system. (English) Zbl 1421.37026 Int. J. Geom. Methods Mod. Phys. 16, No. 4, Article ID 1950059, 17 p. (2019). MSC: 37J35 37J30 34A34 70H06 PDFBibTeX XMLCite \textit{K. Huang} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 4, Article ID 1950059, 17 p. (2019; Zbl 1421.37026) Full Text: DOI
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei Meromorphic and formal first integrals for the Lorenz system. (English) Zbl 1420.34004 J. Nonlinear Math. Phys. 25, No. 1, 106-121 (2018). MSC: 34A05 34C14 37C10 37J35 PDFBibTeX XMLCite \textit{K. Huang} et al., J. Nonlinear Math. Phys. 25, No. 1, 106--121 (2018; Zbl 1420.34004) Full Text: DOI
Jiao, Jia; Shi, Shaoyun; Zhou, Qingjian Rational first integrals for periodic systems. (English) Zbl 1236.34002 Z. Angew. Math. Phys. 62, No. 2, 233-243 (2011). Reviewer: Sergei A. Mazanik (Minsk) MSC: 34A05 34A34 PDFBibTeX XMLCite \textit{J. Jiao} et al., Z. Angew. Math. Phys. 62, No. 2, 233--243 (2011; Zbl 1236.34002) Full Text: DOI
Li, Wenlei; Xu, Zhiguo; Shi, Shaoyun Nonexistence of formal first integrals for nonlinear systems under the case of resonance. (English) Zbl 1309.70025 J. Math. Phys. 51, No. 2, 022703, 11 p. (2010). MSC: 70H07 70K30 34A30 PDFBibTeX XMLCite \textit{W. Li} et al., J. Math. Phys. 51, No. 2, 022703, 11 p. (2010; Zbl 1309.70025) Full Text: DOI
Xu, Zhiguo; Shi, Shaoyun; Liu, Fang Nonexistence and partial existence of first integrals for diffeomorphisms. (English) Zbl 1186.37027 Appl. Math. Lett. 23, No. 4, 399-403 (2010). MSC: 37C05 PDFBibTeX XMLCite \textit{Z. Xu} et al., Appl. Math. Lett. 23, No. 4, 399--403 (2010; Zbl 1186.37027) Full Text: DOI
Jiao, Jia; Shi, Shaoyun; Xu, Zhiguo Formal first integrals for periodic systems. (English) Zbl 1253.34004 J. Math. Anal. Appl. 366, No. 1, 128-136 (2010). MSC: 34A05 34C05 PDFBibTeX XMLCite \textit{J. Jiao} et al., J. Math. Anal. Appl. 366, No. 1, 128--136 (2010; Zbl 1253.34004) Full Text: DOI
Liu, Fang; Shi, Shaoyun; Xu, Zhiguo Nonexistence of formal first integrals for general nonlinear systems under resonance. (English) Zbl 1195.34008 J. Math. Anal. Appl. 363, No. 1, 214-219 (2010). Reviewer: He Chungyou (Nanjing) MSC: 34A05 34C20 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Math. Anal. Appl. 363, No. 1, 214--219 (2010; Zbl 1195.34008) Full Text: DOI
Shi, Shaoyun On the nonexistence of rational first integrals for nonlinear systems and semiquasihomogeneous systems. (English) Zbl 1132.34004 J. Math. Anal. Appl. 335, No. 1, 125-134 (2007). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34A05 34C99 PDFBibTeX XMLCite \textit{S. Shi}, J. Math. Anal. Appl. 335, No. 1, 125--134 (2007; Zbl 1132.34004) Full Text: DOI