Yulij Ilyashenko

Yulij Ilyashenko is an Adjunct Professor in the Department of Mathematics at Cornell University. He holds a Ph.D. from Moscow State University (1969). His research focuses on dynamical systems, particularly the study of limit cycles, nonlocal bifurcations, and complex foliations. A key area of interest is Hilbert's 16th problem, exploring the number and location of limit cycles in polynomial vector fields. He has pioneered approaches applying complex analysis and Riemann surfaces to real differential equations.

His work includes defining new attractor properties, studying robust invariant sets, and advancing the theory of functional cochains and nonlinear Stokes phenomena. Recent contributions include a novel framework for global planar bifurcation theory. Collaborations with students like A. Glutsyuk, V. Kaloshin, and S. Yakovenko have yielded significant results. His editorial roles include overseeing volumes on nonlinear Stokes phenomena and Hilbert's 16th problem.

Ilyashenko's research bridges pure and applied mathematics, with implications for understanding chaotic systems and turbulence. His publications span foundational monographs to specialized articles in journals like Inventiones Mathematicae and Bulletin of the AMS.