Zvyagintseva, Tat’yana E.; Pliss, V. A. Conditions for the existence of two limit cycles in a system with hysteresis nonlinearity. (English. Russian original) Zbl 1434.34039 Vestn. St. Petersbg. Univ., Math. 51, No. 3, 237-243 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 3, 402-410 (2018). MSC: 34C55 34C05 PDFBibTeX XMLCite \textit{T. E. Zvyagintseva} and \textit{V. A. Pliss}, Vestn. St. Petersbg. Univ., Math. 51, No. 3, 237--243 (2018; Zbl 1434.34039); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 3, 402--410 (2018) Full Text: DOI
Bibikov, Yu. N.; Pliss, V. A.; Trushina, N. V. On stability of zero solution of an essentially nonlinear second-order differential equation. (English. Russian original) Zbl 1434.34049 Vestn. St. Petersbg. Univ., Math. 50, No. 3, 235-241 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 3, 394-401 (2017). MSC: 34D20 37C60 34D10 PDFBibTeX XMLCite \textit{Yu. N. Bibikov} et al., Vestn. St. Petersbg. Univ., Math. 50, No. 3, 235--241 (2017; Zbl 1434.34049); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 3, 394--401 (2017) Full Text: DOI
Zviagintceva, T. E.; Pliss, V. A. Global stability conditions of a system with hysteresis nonlinearity. (English. Russian original) Zbl 1373.34099 Vestn. St. Petersbg. Univ., Math. 50, No. 2, 138-144 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 2, 227-235 (2017). MSC: 34H05 34C55 34D23 PDFBibTeX XMLCite \textit{T. E. Zviagintceva} and \textit{V. A. Pliss}, Vestn. St. Petersbg. Univ., Math. 50, No. 2, 138--144 (2017; Zbl 1373.34099); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 2, 227--235 (2017) Full Text: DOI
Bibikov, Yu. N.; Pliss, V. A. Bifurcation of the state of equilibrium of an oscillator with nonlinear restoring force of third order. (English. Russian original) Zbl 1370.37099 Vestn. St. Petersbg. Univ., Math. 48, No. 2, 57-60 (2015); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2(60), No. 2, 171-175 (2015). MSC: 37G10 34C45 PDFBibTeX XMLCite \textit{Yu. N. Bibikov} and \textit{V. A. Pliss}, Vestn. St. Petersbg. Univ., Math. 48, No. 2, 57--60 (2015; Zbl 1370.37099); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2(60), No. 2, 171--175 (2015) Full Text: DOI
Bibikov, Yu. N.; Pliss, V. A. The dependence of the maximal interval of existence of solutions to a differential equation on the initial data. (English. Russian original) Zbl 1370.34023 Vestn. St. Petersbg. Univ., Math. 47, No. 4, 141-144 (2014); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1(59), No. 4, 511-516 (2014). MSC: 34A12 PDFBibTeX XMLCite \textit{Yu. N. Bibikov} and \textit{V. A. Pliss}, Vestn. St. Petersbg. Univ., Math. 47, No. 4, 141--144 (2014; Zbl 1370.34023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1(59), No. 4, 511--516 (2014) Full Text: DOI
Pliss, V. A. Life and work of Aleksandr Mikhailovich Lyapunov. (English. Russian original) Zbl 1207.01031 Vestn. St. Petersbg. Univ., Math. 40, No. 2, 93-98 (2007); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2007, No. 2, 3-10 (2007). Reviewer: Ülo Lumiste (Tartu) MSC: 01A70 34-03 PDFBibTeX XMLCite \textit{V. A. Pliss}, Vestn. St. Petersbg. Univ., Math. 40, No. 2, 93--98 (2007; Zbl 1207.01031); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2007, No. 2, 3--10 (2007) Full Text: DOI