Background
Leonov, Gennadij Alekseevich was born on February 2, 1947 in Leningrad, Russia. Son of Aleksej Mikhajlovich and Antonina Andreevna (Vikhoreva) Leonov.
(This book deals with the investigation of global attracto...)
This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, that is, to finite denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented.
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Leonov, Gennadij Alekseevich was born on February 2, 1947 in Leningrad, Russia. Son of Aleksej Mikhajlovich and Antonina Andreevna (Vikhoreva) Leonov.
Bachelor, Leningrad University, 1969. Doctor of Philosophy, Leningrad University, 1971. Doctor Mathematics Leningrad University, 1983.
Lecturer, Leningrad U., 1971-1976; associate professor, Leningrad U., 1976-1985; professor mathematics, Leningrad U., 1985-1988; dean department, St. Petersburg (Russia) U., since 1988.
(This book deals with the investigation of global attracto...)
Fellow St. Petersburg Mathematics Society.
Married Elena Petrovna Zhdanova, August 9, 1969. 1 child, Vladimir Gennadievich.