Ilyashenko, Yu. S. Finiteness theorems for limit cycles: a digest of the revised proof. (English. Russian original) Zbl 1382.34032 Izv. Math. 80, No. 1, 50-112 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 55-118 (2016). MSC: 34C07 37F75 32G15 PDFBibTeX XMLCite \textit{Yu. S. Ilyashenko}, Izv. Math. 80, No. 1, 50--112 (2016; Zbl 1382.34032); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 55--118 (2016) Full Text: DOI
Ilyashenko, Yu. Complex length and persistence of limit cycles in a neighborhood of a hyperbolic polycycle. (English) Zbl 1341.37027 Publ. Mat., Barc. 2014, Extra, 279-296 (2014). Reviewer: Lorena López Hernanz (Belo Horizonte) MSC: 37F75 PDFBibTeX XMLCite \textit{Yu. Ilyashenko}, Publ. Mat., Barc. 2014, 279--296 (2014; Zbl 1341.37027) Full Text: DOI
Ilyashenko, Yu.; Moldavskis, V. Total rigidity of generic quadratic vector fields. (English) Zbl 1333.37063 Mosc. Math. J. 11, No. 3, 521-530 (2011). MSC: 37F75 37F20 PDFBibTeX XMLCite \textit{Yu. Ilyashenko} and \textit{V. Moldavskis}, Mosc. Math. J. 11, No. 3, 521--530 (2011; Zbl 1333.37063) Full Text: arXiv Link
Ilyashenko, Yu. Weak total rigidity for polynomial vector fields of arbitrary degree. (English) Zbl 1333.37062 Mosc. Math. J. 11, No. 2, 259-263 (2011). MSC: 37F75 37F10 PDFBibTeX XMLCite \textit{Yu. Ilyashenko}, Mosc. Math. J. 11, No. 2, 259--263 (2011; Zbl 1333.37062) Full Text: Link
Ilyashenko, Yulij; Yakovenko, Sergei Lectures on analytic differential equations. (English) Zbl 1186.34001 Graduate Studies in Mathematics 86. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3667-5/hbk). xiii, 625 p. (2008). Reviewer: Henryk Żołądek (Warszawa) MSC: 34-02 37F75 34A26 32S65 34M50 34M35 PDFBibTeX XMLCite \textit{Y. Ilyashenko} and \textit{S. Yakovenko}, Lectures on analytic differential equations. Providence, RI: American Mathematical Society (AMS) (2008; Zbl 1186.34001)
Ilyashenko, Yu. S. Total rigidity of polynomial foliations on the complex projective plane. (English. Russian original) Zbl 1156.32302 Proc. Steklov Inst. Math. 259, 60-72 (2007); translation from Tr. Mat. Inst. Steklova 259, 64-76 (2007). MSC: 32S65 57R30 PDFBibTeX XMLCite \textit{Yu. S. Ilyashenko}, Proc. Steklov Inst. Math. 259, 60--72 (2007; Zbl 1156.32302); translation from Tr. Mat. Inst. Steklova 259, 64--76 (2007) Full Text: DOI
Ilyashenko, Yu. S. Persistence theorems and simultaneous uniformization. (English. Russian original) Zbl 1351.37199 Proc. Steklov Inst. Math. 254, 184-200 (2006); translation from Tr. Mat. Inst. Steklova 254, 196-214 (2006). MSC: 37F75 32Q30 34C07 34M10 PDFBibTeX XMLCite \textit{Yu. S. Ilyashenko}, Proc. Steklov Inst. Math. 254, 184--200 (2006; Zbl 1351.37199); translation from Tr. Mat. Inst. Steklova 254, 196--214 (2006) Full Text: DOI
Ilyashenko, Yu. Persistency theorems for holomorphic foliations and Kupka-Smale property for polynomial automorphisms of \(\mathbb C^2\). (English) Zbl 1102.37033 Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 346-353 (2005). MSC: 37F75 37F10 37D05 32H50 37F15 37C20 PDFBibTeX XMLCite \textit{Yu. Ilyashenko}, in: EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22--26, 2003. Hackensack, NJ: World Scientific. 346--353 (2005; Zbl 1102.37033)
Ilyashenko, Yulij S. Covering manifolds for analytic families of leaves of foliations by analytic curves. (English) Zbl 0927.32020 Topol. Methods Nonlinear Anal. 11, No. 2, 361-373 (1998); remark ibid. 23, No. 2, 377-381 (2004). Reviewer: E.Pascu (Montreal) MSC: 32Q30 32S65 57R30 PDFBibTeX XMLCite \textit{Y. S. Ilyashenko}, Topol. Methods Nonlinear Anal. 11, No. 2, 361--373 (1998; Zbl 0927.32020) Full Text: DOI
Il’yashenko, Yu. S. Nonlinear Stokes phenomena. (English) Zbl 0804.32011 Il’yashenko, Yu. S. (ed.), Nonlinear Stokes phenomena. Transl. ed. by A.B. Sossinsky. Providence, RI: American Mathematical Society. Adv. Sov. Math. 14, 1-55 (1993). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 32G34 32S65 34M99 37G05 37C85 34C20 PDFBibTeX XMLCite \textit{Yu. S. Il'yashenko}, Adv. Sov. Math. 14, 1--55 (1993; Zbl 0804.32011)