Nonlocal Bifurcations. Volume: 66. Publication Month and Year: 1998-10-27.

Nonlocal Bifurcations. Yu. Ilyashenko; Weigu Li. This book studies nonlocal bifurcations that occur on the boundary of the domain of Morse-Smale systems in the space of all dynamical systems. These bifurcations provide a series of fascinating new scenarios for the transition from simple dynamical systems to complicated ones. The main effects are the generation of hyperbolic periodic orbits, nontrivial hyperbolic invariant sets and the elements of hyperbolic theory. Book Series Name: Mathematical Surveys and Monographs.

In: Schlomiuk D. (eds) Bifurcations and Periodic Orbits of Vector Fields. NATO ASI Series (Series C: Mathematical and Physical Sciences), vol 408. Springer, Dordrecht.

Hilbert-Arnold problem for elementary poly-cycles, in: Around Hilbert’s 16th Problem,to appear. In: Schlomiuk D.

Title: Dierential equations, mathematical physics, and applications : Selim Grigorievich . Spectral asymptotics for fractional Laplacians Victor Ivrii. He had written several inuen-tial monographs in these areas

Title: Dierential equations, mathematical physics, and applications : Selim Grigorievich Krein. Other titles: Selim Grigorievich Krein centennial Description: Providence, Rhode Island : American Mathematical Society, Series: Contemporary mathematics ; volume 734 Includes bibliographical references. He had written several inuen-tial monographs in these areas. He had also been a prolic teacher, graduating 83 PhD students, including quite a few well known mathematicians currently scat-tered around the globe.

Nonlocal Bifurcations book. This book studies nonlocal bifurcations that occur on the boundary of the domain of Morse-Smale systems in the space of all dynamical systems

Nonlocal Bifurcations book. These bifurcations provide a series of scenarios for the transition from simple dynamical systems to complicated ones. The main effects are the generation of hyperbolic periodic orbits, nontrivial hyperbolic invariant sets and the e This book studies nonlocal bifurcations that occur on the boundary of the domain of Morse-Smale systems in the space of all dynamical systems.

This book studies nonlocal bifurcations that occur on the boundary of the domain of Morse-Smale systems in the space of all dynamical systems. All results are rigorously proved and explained in a uniform way. The foundations of normal forms and hyperbolic theories are presented from the very first stages.

Nonlocal Bifurcations (with Li Weigu), Mathematical Surveys and Monographs 66, AMS, 1999. Towards the general theory of global planar bifurcations, in the book "Mathematical Sciences with Multidisciplinary Applications, In Honor of Professor Christiane Rousseau. Some new robust properties of invariant sets and attractors of dynamical systems (with Gorodetski), Funct. And In Recognition of the Mathematics for Planet Earth Initiative'', Springer 2016.

with Weigu Li: Nonlocal Bifurcations, Mathematical Surveys and . Ilyashenko, Yu (2000) ^ Yulij Ilyashenko at the Mathematics Genealogy Project. Yulij Ilyashenko, Mathematics Departement, Cornell University

with Weigu Li: Nonlocal Bifurcations, Mathematical Surveys and Monographs, AMS 1998. with S. Yakovenko: Lectures on analytic differential equations, AMS 2007. Ilyashenko, Yu (2000). Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions". Yulij Ilyashenko at the Mathematics Genealogy Project. Yulij Ilyashenko, Mathematics Departement, Cornell University. a b Ilyashenko, Yu. (2002). Centennial history of Hilbert´s 16th problem".

Ilyashenko, W. Li, Nonlocal bifurcations. Mathematical surveys and monographs, Am. Math. The birth ofCk-smooth invariant curves from a saddle-node bifurcation in a family ofCkdiffeomorphisms on a Banach manifold (possibly infinite dimensional) is constructed in the case that the fixed point is a stable node along hyperbolic directions, and has a smooth noncritical curve of homoclinic orbits.

Ilyashenko was a chairmen of the Organizing Committee for the latter conference . Mathematical surveys and Monographs, 1998, vo. 6.

Ilyashenko was a chairmen of the Organizing Committee for the latter conference -’Rencontres Mathematiques’: Le 16eme probleme de Hilbert et sujets relies en theorie de formes normales, bifurcations, feulletages et integrales Abeliennes, 3 lectures: Centen-nial history of Hilbert’s 16th problem, May 24-25, Lyon, France - International Conference Dierential and l equations, Moscow, August 11-17, 2002 . 50. Local dynamics and nonlocal bifurcations, in the book: Bifurcations and periodic orbits of vector elds (Montreal, PQ, 1992), 279-319, Kluwer, 1993.

This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities

This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities. In particular, many examples are given where nonlinearities turn out to be essential to get controllability or stabilization. Various methods are presented to study the controllability or to construct stabilizing feedback laws. The power of these methods is illustrated by numerous examples coming from such areas as celestial mechanics, fluid mechanics, and quantum mechanics.