Glyzin, S. D.; Kolesov, A. Yu. On some modifications of Arnold’s cat map. (English. Russian original) Zbl 1493.37051 Dokl. Math. 104, No. 2, 242-246 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 26-30 (2021). MSC: 37E30 37E35 PDFBibTeX XMLCite \textit{S. D. Glyzin} and \textit{A. Yu. Kolesov}, Dokl. Math. 104, No. 2, 242--246 (2021; Zbl 1493.37051); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 26--30 (2021) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. K. Buffer phenomenon and chaos in circular chains of unidirectionally coupled oscillators. (English. Russian original) Zbl 1326.34064 Dokl. Math. 90, No. 1, 509-512 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 3, 278-281 (2014). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C15 34E10 34C23 34C05 34E05 PDFBibTeX XMLCite \textit{S. D. Glyzin} et al., Dokl. Math. 90, No. 1, 509--512 (2014; Zbl 1326.34064); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 3, 278--281 (2014) Full Text: DOI
Sadovnichii, V. A.; Kolesov, A. Yu.; Rozov, N. Kh. Parametric chaos in nonlinear flutter systems. (English. Russian original) Zbl 1312.34084 Dokl. Math. 89, No. 3, 382-386 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 2, 150-154 (2014). Reviewer: Hao Wu (Nanjing) MSC: 34C46 37D45 34D10 34C45 34C23 34D45 34C28 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 89, No. 3, 382--386 (2014; Zbl 1312.34084); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 2, 150--154 (2014) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh. Buffer phenomenon in neurodynamics. (English. Russian original) Zbl 1276.34071 Dokl. Math. 85, No. 2, 297-300 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 2, 168-172 (2012). Reviewer: Klaus R. Schneider (Berlin) MSC: 34K60 92C60 34K26 34K13 34K20 PDFBibTeX XMLCite \textit{S. D. Glyzin} et al., Dokl. Math. 85, No. 2, 297--300 (2012; Zbl 1276.34071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 443, No. 2, 168--172 (2012) Full Text: DOI
Kolesov, A. Yu.; Rozov, N. Kh. Discrete autowaves in delay systems in ecology. (English. Russian original) Zbl 1417.92212 Dokl. Math. 82, No. 2, 794-797 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 6, 735-738 (2010). MSC: 92D40 92D25 34K60 PDFBibTeX XMLCite \textit{A. Yu. Kolesov} and \textit{N. Kh. Rozov}, Dokl. Math. 82, No. 2, 794--797 (2010; Zbl 1417.92212); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 6, 735--738 (2010) Full Text: DOI
Kolesov, A. Yu.; Rozov, N. Kh. Two-frequency autowave processes in the discrete Ginzburg-Landau equation. (English. Russian original) Zbl 1235.34167 Dokl. Math. 80, No. 1, 616-620 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 4, 469-473 (2009). Reviewer: Klaus R. Schneider (Berlin) MSC: 34D45 34C15 34D05 PDFBibTeX XMLCite \textit{A. Yu. Kolesov} and \textit{N. Kh. Rozov}, Dokl. Math. 80, No. 1, 616--620 (2009; Zbl 1235.34167); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 4, 469--473 (2009) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh. A mathematical model of the chaotic buffer phenomenon. (English. Russian original) Zbl 1327.35350 Dokl. Math. 75, No. 1, 157-161 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 5, 604-609 (2007). MSC: 35Q55 35B41 35L70 37D45 PDFBibTeX XMLCite \textit{S. D. Glyzin} et al., Dokl. Math. 75, No. 1, 157--161 (2007; Zbl 1327.35350); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 5, 604--609 (2007) Full Text: DOI
Kolesov, A. Yu.; Kulikov, A. N.; Rozov, N. Kh. Cylindrical traveling waves for the generalized cubical Schrödinger equation. (English. Russian original) Zbl 1155.35451 Dokl. Math. 73, No. 1, 125-128 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 406, No. 1, 25-29 (2006). MSC: 35Q55 37L99 PDFBibTeX XMLCite \textit{A. Yu. Kolesov} et al., Dokl. Math. 73, No. 1, 125--128 (2006; Zbl 1155.35451); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 406, No. 1, 25--29 (2006) Full Text: DOI
Kolesov, A. Yu.; Rozov, N. Kh. Auto-oscillations in the Vitt system with a resonance spectrum of natural frequencies. (English. Russian original) Zbl 1069.35507 Dokl. Math. 61, No. 1, 9-12 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 1, 15-18 (2000). MSC: 35L60 35B35 94C05 35B10 PDFBibTeX XMLCite \textit{A. Yu. Kolesov} and \textit{N. Kh. Rozov}, Dokl. Math. 61, No. 1, 15--18 (2000; Zbl 1069.35507); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 1, 15--18 (2000)
Kambulov, V. F.; Kolesov, A. Yu. The buffer phenomenon in a long circuit with a tunnel diode. (English. Russian original) Zbl 1091.78503 Dokl. Math. 56, No. 1, 625-627 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 355, No. 6, 744-746 (1997). MSC: 78A55 34C99 PDFBibTeX XML
Kolesov, A. Yu.; Rozov, N. Kh. \(C^1\)-approximation of solutions to systems of differential equations with piecewise continuous right-hand sides. (English. Russian original) Zbl 0896.34050 Dokl. Math. 54, No. 1, 521-523 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No. 2, 162-164 (1996). Reviewer: V.Sobolev (Samara) MSC: 34E15 93B12 34A45 34H05 34A34 34K99 PDFBibTeX XMLCite \textit{A. Yu. Kolesov} and \textit{N. Kh. Rozov}, Dokl. Math. 54, No. 1, 521--523 (1996; Zbl 0896.34050); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No. 2, 162--164 (1996)
Kolesov, A. Yu. Relaxation cycles of a nonlinear wave equation that is smoothly dependent on parameters. (English. Russian original) Zbl 0880.35075 Dokl. Math. 51, No. 2, 187-189 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 2, 158-160 (1995). MSC: 35L70 35L20 PDFBibTeX XMLCite \textit{A. Yu. Kolesov}, Dokl. Math. 51, No. 2, 187--189 (1995; Zbl 0880.35075); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 2, 158--160 (1995)