Gavrilov, Lubomir; Iliev, Iliya D. The limit cycles in a generalized Rayleigh-Liénard oscillator. (English) Zbl 1525.34060 Discrete Contin. Dyn. Syst. 43, No. 6, 2381-2400 (2023). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C07 34C05 34C08 34C23 34B30 PDFBibTeX XMLCite \textit{L. Gavrilov} and \textit{I. D. Iliev}, Discrete Contin. Dyn. Syst. 43, No. 6, 2381--2400 (2023; Zbl 1525.34060) Full Text: DOI arXiv
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang On the cubic perturbations of the symmetric 8-loop Hamiltonian. (English) Zbl 1443.34040 J. Differ. Equations 269, No. 4, 3387-3413 (2020). MSC: 34C23 34C05 34E10 34C07 34C08 37J40 PDFBibTeX XMLCite \textit{I. D. Iliev} et al., J. Differ. Equations 269, No. 4, 3387--3413 (2020; Zbl 1443.34040) Full Text: DOI arXiv
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang Bifurcations of limit cycles in a reversible quadratic system with a center, a saddle and two nodes. (English) Zbl 1198.34049 Commun. Pure Appl. Anal. 9, No. 3, 583-610 (2010). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C07 34C08 37G15 34C23 34C14 PDFBibTeX XMLCite \textit{I. D. Iliev} et al., Commun. Pure Appl. Anal. 9, No. 3, 583--610 (2010; Zbl 1198.34049) Full Text: DOI
Gautier, Sébastien; Gavrilov, Lubomir; Iliev, Iliya D. Perturbations of quadratic centers of genus one. (English) Zbl 1178.34037 Discrete Contin. Dyn. Syst. 25, No. 2, 511-535 (2009). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34C08 37G15 PDFBibTeX XMLCite \textit{S. Gautier} et al., Discrete Contin. Dyn. Syst. 25, No. 2, 511--535 (2009; Zbl 1178.34037) Full Text: DOI arXiv
Gavrilov, Lubomir; Iliev, Iliya D. Quadratic perturbations of quadratic codimension-four centers. (English) Zbl 1177.34046 J. Math. Anal. Appl. 357, No. 1, 69-76 (2009). Reviewer: Alexey Remizov (Trieste) MSC: 34C07 34C05 34C08 34C23 PDFBibTeX XMLCite \textit{L. Gavrilov} and \textit{I. D. Iliev}, J. Math. Anal. Appl. 357, No. 1, 69--76 (2009; Zbl 1177.34046) Full Text: DOI arXiv
Hakkaev, Sevdzhan; Iliev, Iliya D.; Kirchev, Kiril Stability of periodic travelling shallow-water waves determined by Newton’s equation. (English) Zbl 1136.35317 J. Phys. A, Math. Theor. 41, No. 8, Article ID 085203, 31 p. (2008). MSC: 35B35 35B10 35Q35 35Q53 35B25 34C08 34L40 PDFBibTeX XMLCite \textit{S. Hakkaev} et al., J. Phys. A, Math. Theor. 41, No. 8, Article ID 085203, 31 p. (2008; Zbl 1136.35317) Full Text: DOI arXiv
Gavrilov, Lubomir; Iliev, Iliya D. The displacement map associated to polynomial unfoldings of planar Hamiltonian vector fields. (English) Zbl 1093.34015 Am. J. Math. 127, No. 6, 1153-1190 (2005). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 37C10 37C27 58K05 58K10 34C08 PDFBibTeX XMLCite \textit{L. Gavrilov} and \textit{I. D. Iliev}, Am. J. Math. 127, No. 6, 1153--1190 (2005; Zbl 1093.34015) Full Text: DOI arXiv Link
Iliev, Iliya D.; Li, Chengzhi; Yu, Jiang Bifurcations of limit cycles from quadratic non-Hamiltonian systems with two centres and two unbounded heteroclinic loops. (English) Zbl 1077.34035 Nonlinearity 18, No. 1, 305-330 (2005). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C07 37G15 34C08 34C23 PDFBibTeX XMLCite \textit{I. D. Iliev} et al., Nonlinearity 18, No. 1, 305--330 (2005; Zbl 1077.34035) Full Text: DOI
Gavrilov, Lubomir; Iliev, Iliya D. Complete hyperelliptic integrals of the first kind and their non-oscillation. (English) Zbl 1043.34031 Trans. Am. Math. Soc. 356, No. 3, 1185-1207 (2004). Reviewer: Jinghuang Tian (Phoenix) MSC: 34C08 34C07 14K20 PDFBibTeX XMLCite \textit{L. Gavrilov} and \textit{I. D. Iliev}, Trans. Am. Math. Soc. 356, No. 3, 1185--1207 (2004; Zbl 1043.34031) Full Text: DOI arXiv
Gavrilov, Lubomir; Iliev, Iliya D. Two-dimensional Fuchsian systems and the Chebyshev property. (English) Zbl 1046.34056 J. Differ. Equations 191, No. 1, 105-120 (2003). MSC: 34C08 34C05 34C07 37C25 PDFBibTeX XMLCite \textit{L. Gavrilov} and \textit{I. D. Iliev}, J. Differ. Equations 191, No. 1, 105--120 (2003; Zbl 1046.34056) Full Text: DOI arXiv