Jiang, Xinrui; Qin, Sitian; Xue, Xiaoping; Liu, Xinzhi A second-order accelerated neurodynamic approach for distributed convex optimization. (English) Zbl 1522.90096 Neural Netw. 146, 161-173 (2022). MSC: 90C25 PDFBibTeX XMLCite \textit{X. Jiang} et al., Neural Netw. 146, 161--173 (2022; Zbl 1522.90096) Full Text: DOI
Li, Zhuchun; Zhao, Xiaoxue; Xue, Xiaoping Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieve. II: Nonorthogonal standard patterns and structural stability. (English) Zbl 1492.34036 SIAM J. Appl. Dyn. Syst. 21, No. 1, 102-136 (2022). MSC: 34C15 34D20 68T01 PDFBibTeX XMLCite \textit{Z. Li} et al., SIAM J. Appl. Dyn. Syst. 21, No. 1, 102--136 (2022; Zbl 1492.34036) Full Text: DOI
Zhao, Xiaoxue; Li, Zhuchun; Xue, Xiaoping Stability in a Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieve. (English) Zbl 1454.34083 SIAM J. Appl. Dyn. Syst. 19, No. 2, 1124-1159 (2020). Reviewer: Vu Hoang Linh (Hanoi) MSC: 34D20 34C15 92B20 PDFBibTeX XMLCite \textit{X. Zhao} et al., SIAM J. Appl. Dyn. Syst. 19, No. 2, 1124--1159 (2020; Zbl 1454.34083) Full Text: DOI
Li, Zhuchun; Liu, Yi; Xue, Xiaoping Convergence and stability of generalized gradient systems by Łojasiewicz inequality with application in continuum Kuramoto model. (English) Zbl 1419.34145 Discrete Contin. Dyn. Syst. 39, No. 1, 345-367 (2019). MSC: 34D05 34C15 46N20 92D25 34D06 34K25 PDFBibTeX XMLCite \textit{Z. Li} et al., Discrete Contin. Dyn. Syst. 39, No. 1, 345--367 (2019; Zbl 1419.34145) Full Text: DOI
Zhao, Xiaoxue; Li, Zhuchun; Xue, Xiaoping Formation, stability and basin of phase-locking for Kuramoto oscillators bidirectionally coupled in a ring. (English) Zbl 1407.34076 Netw. Heterog. Media 13, No. 2, 323-337 (2018). MSC: 34D06 34C15 92D25 34D20 34D05 PDFBibTeX XMLCite \textit{X. Zhao} et al., Netw. Heterog. Media 13, No. 2, 323--337 (2018; Zbl 1407.34076) Full Text: DOI
Dong, Jiu-Gang; Xue, Xiaoping Finite-time synchronization of Kuramoto-type oscillators. (English) Zbl 1356.34041 Nonlinear Anal., Real World Appl. 26, 133-149 (2015). MSC: 34C15 PDFBibTeX XMLCite \textit{J.-G. Dong} and \textit{X. Xue}, Nonlinear Anal., Real World Appl. 26, 133--149 (2015; Zbl 1356.34041) Full Text: DOI
Li, Zhuchun; Xue, Xiaoping; Yu, Daren On the Łojasiewicz exponent of Kuramoto model. (English) Zbl 1316.34056 J. Math. Phys. 56, No. 2, 022704, 20 p. (2015). Reviewer: Carlo Laing (Auckland) MSC: 34D06 34C15 34D45 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Math. Phys. 56, No. 2, 022704, 20 p. (2015; Zbl 1316.34056) Full Text: DOI
Choi, Young-Pil; Li, Zhuchun; Ha, Seung-Yeal; Xue, Xiaoping; Yun, Seok-Bae Complete entrainment of Kuramoto oscillators with inertia on networks via gradient-like flow. (English) Zbl 1302.34058 J. Differ. Equations 257, No. 7, 2591-2621 (2014). Reviewer: Carlo Laing (Auckland) MSC: 34C15 34D06 PDFBibTeX XMLCite \textit{Y.-P. Choi} et al., J. Differ. Equations 257, No. 7, 2591--2621 (2014; Zbl 1302.34058) Full Text: DOI