Yu. Ilyashenko

Часть публикаций из профиля, по году от новых к старым. Это не полный список последних работ автора; работы без года — в конце.

• Diophantine "Tears of the Heart"2026
• Disconnected large bifurcation supports and Cartesian products of bifurcations2025
• Functional Invariants in Semilocal Bifurcations2025
• ON THE 70TH ANNIVERSARY OF VALERY VASILYEVICH KOZLOV2025
• Singular Points in Generic Two-Parameter Families of Vector Fields on a 2-Manifold2025
• Lectures on Analytic Differential Equations2007 · аннотациясвернуть

  The book combines the features of a graduate-level textbook with those of a research monograph and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. As a…

• Centennial History of Hilbert's 16th Problem2002 · аннотациясвернуть

  The second part of Hilbert’s 16th problem deals with polynomial differential equations in the plane. It remains unsolved even for quadratic polynomials. There were several attempts to solve it that failed. Yet the…

• Finitely-smooth normal forms of local families of diffeomorphisms and vector fields1991 · аннотациясвернуть

  CONTENTS Introduction § 1. Normal forms of hyperbolic local families § 2. Deformations of germs of vector fields with a single zero eigenvalue § 3. Bifurcation of a separatrix loop of a saddle on the plane References