Zhang, Qing; Du, Zhengdong On the number of limit cycles of planar piecewise smooth quadratic systems with focus-parabolic type critical point. (English) Zbl 1519.34028 Mediterr. J. Math. 20, No. 5, Paper No. 277, 23 p. (2023). MSC: 34C07 34C23 34A36 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{Z. Du}, Mediterr. J. Math. 20, No. 5, Paper No. 277, 23 p. (2023; Zbl 1519.34028) Full Text: DOI
He, Qi; Yin, George; Zhang, Qing Large deviations for two-time-scale systems driven by nonhomogeneous Markov chains and associated optimal control problems. (English) Zbl 1228.60083 SIAM J. Control Optim. 49, No. 4, 1737-1765 (2011). MSC: 60J27 93E20 34E05 60F10 PDFBibTeX XMLCite \textit{Q. He} et al., SIAM J. Control Optim. 49, No. 4, 1737--1765 (2011; Zbl 1228.60083) Full Text: DOI
Liu, Q. G.; Yin, G.; Zhang, Q. Multi-time scales in singularly perturbed forward equations for continuous-time Markov chains. (English) Zbl 0995.60073 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Volume 3. Proceedings of the 3rd international conference, Morehouse College, Atlanta, GA, USA, May 26-29, 1999. Atlanta, GA: Dynamic Publishers. 391-398 (2001). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60J27 34D15 35B25 PDFBibTeX XMLCite \textit{Q. G. Liu} et al., in: Dynamic systems and applications. Volume 3. Proceedings of the 3rd international conference, Morehouse College, Atlanta, GA, USA, May 26--29, 1999. Atlanta, GA: Dynamic Publishers. 391--398 (2001; Zbl 0995.60073)
Yin, G.; Zhang, Q. Singularly perturbed discrete-time Markov chains. (English) Zbl 0972.60068 SIAM J. Appl. Math. 61, No. 3, 834-854 (2000). MSC: 60J10 34E10 PDFBibTeX XMLCite \textit{G. Yin} and \textit{Q. Zhang}, SIAM J. Appl. Math. 61, No. 3, 834--854 (2000; Zbl 0972.60068) Full Text: DOI
Yin, G.; Zhang, Q.; Badowski, G. Singularly perturbed Markov chains: Convergence and aggregation. (English) Zbl 0951.60034 J. Multivariate Anal. 72, No. 2, 208-229 (2000). Reviewer: G.G.Vrănceanu (Bucureşti) MSC: 60F17 34E05 PDFBibTeX XMLCite \textit{G. Yin} et al., J. Multivariate Anal. 72, No. 2, 208--229 (2000; Zbl 0951.60034) Full Text: DOI
Li, X.; Yin, G.; Yin, K.; Zhang, Q. A numerical study of singularly perturbed Markov chains: Quasi-equilibrium distributions and scaled occupation measures. (English) Zbl 0946.60074 Dyn. Contin. Discrete Impulsive Syst. 5, No. 1-4, 295-304 (1999). MSC: 60J27 60J35 34E05 93E03 PDFBibTeX XMLCite \textit{X. Li} et al., Dyn. Contin. Discrete Impulsive Syst. 5, No. 1--4, 295--304 (1999; Zbl 0946.60074)
Yin, G. George; Zhang, Qing Continuous-time Markov chains and applications. A singular perturbation approach. (English) Zbl 0896.60039 Applications of Mathematics. 37. New York, NY: Springer. xv, 349 p. (1998). Reviewer: B.P.Harlamov (St.Peterburg) MSC: 60J27 60-02 93E20 34E05 PDFBibTeX XMLCite \textit{G. G. Yin} and \textit{Q. Zhang}, Continuous-time Markov chains and applications. A singular perturbation approach. New York, NY: Springer (1998; Zbl 0896.60039)
Zhang, Q.; Yin, G. Structural properties of Markov chains with weak and strong interactions. (English) Zbl 0913.60068 Stochastic Processes Appl. 70, No. 2, 181-197 (1997). Reviewer: František Matúš (Praha) MSC: 60J27 60F17 34E05 60B10 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{G. Yin}, Stochastic Processes Appl. 70, No. 2, 181--197 (1997; Zbl 0913.60068) Full Text: DOI
Khasminskii, R. Z.; Yin, G.; Zhang, Q. Constructing asymptotic series for probability distributions of Markov chains with weak and strong interactions. (English) Zbl 0870.34058 Q. Appl. Math. 55, No. 1, 177-200 (1997). Reviewer: V.Burjan (Praha) MSC: 34E05 34E15 60J27 PDFBibTeX XMLCite \textit{R. Z. Khasminskii} et al., Q. Appl. Math. 55, No. 1, 177--200 (1997; Zbl 0870.34058) Full Text: DOI
Zhang, Q.; Yin, G. Asymptotic normality of singularly perturbed nonstationary Markov chains with a finite state space. (English) Zbl 0869.60017 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 2. Proceedings of the 2nd international conference, Morehouse College, Atlanta, GA, USA, May 24–27, 1995. Atlanta, GA: Dynamic Publishers. 569-576 (1996). MSC: 60F05 60J27 34E05 93E20 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{G. Yin}, in: Dynamic systems and applications. Vol. 2. Proceedings of the 2nd international conference, Morehouse College, Atlanta, GA, USA, May 24--27, 1995. Atlanta, GA: Dynamic Publishers. 569--576 (1996; Zbl 0869.60017)
Khasminskii, R. Z.; Yin, G.; Zhang, Q. Singularly perturbed Markov chains: Quasi-stationary distribution and asymptotic expansion. (English) Zbl 0867.34044 Ladde, G. S. (ed.) et al., Dynamic systems and applications. Vol. 2. Proceedings of the 2nd international conference, Morehouse College, Atlanta, GA, USA, May 24–27, 1995. Atlanta, GA: Dynamic Publishers. 301-308 (1996). MSC: 34E05 60J27 34E15 PDFBibTeX XMLCite \textit{R. Z. Khasminskii} et al., in: Dynamic systems and applications. Vol. 2. Proceedings of the 2nd international conference, Morehouse College, Atlanta, GA, USA, May 24--27, 1995. Atlanta, GA: Dynamic Publishers. 301--308 (1996; Zbl 0867.34044)
Zhang, Q.; Yin, G. A central limit theorem for singularly perturbed nonstationary finite state Markov chains. (English) Zbl 0855.60018 Ann. Appl. Probab. 6, No. 2, 650-670 (1996). MSC: 60F05 60J27 34E05 93E20 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{G. Yin}, Ann. Appl. Probab. 6, No. 2, 650--670 (1996; Zbl 0855.60018) Full Text: DOI
Khasminskii, R. Z.; Yin, G.; Zhang, Q. Asymptotic expansions of singularly perturbed systems involving rapidly fluctuating Markov chains. (English) Zbl 0849.34047 SIAM J. Appl. Math. 56, No. 1, 277-293 (1996). Reviewer: J.M.Stoyanov (Sofia) MSC: 34E05 60J27 34E15 34F05 PDFBibTeX XMLCite \textit{R. Z. Khasminskii} et al., SIAM J. Appl. Math. 56, No. 1, 277--293 (1996; Zbl 0849.34047) Full Text: DOI