First announcement

On June 6, 2018 Boris Chirikov would have turned 90. His name is known to everyone who deals with classical and quantum systems manifesting chaotic behavior, and beyond. Chirikov was one of the main contributors to the rise of non-linear dynamics: in 1965 he applied his approach to the Fermi-Pasta-Ulam (FPU) paradox and explained it analytically. His analytical predictions were later confirmed numerically. Many important results of Chirikov and his group in that period followed: predicted the chaos border in the Fermi-acceleration model (1964), weak Arnold diffusion in nonlinear maps (1969-1975), chaotic properties of non-linear maps in the regime of strong chaos (1969), the emergence of strange attractors in 2D and 4D dissipative maps (1973-1974), non-integrability of classical Yang-Mills field (1981), chaotic dynamics of the Halley comet (1989), and many more. Boris ́s name is nowadays closely associated with the “standard map” that serves as a paradigm in the theory of dynamical chaos. The role of this map in non-linear physics equals that played by the linear oscillator in linear physics. In 1977, Chirikov turned attention to quantum dynamics by introducing the quantum version of this map, now known as the “kicked rotor”. The early studies of this model by Chirikov and his co-workers resulted in the discovery of the important phenomenon of dynamical localization of quantum chaos. Later, the effect of such localization was observed in experiments with hydrogen and Rydberg atoms in a monochromatic microwave field, and with cold atoms and Bose-Einstein condensates in optical lattices. In the theory of quantum systems with complex behavior, the kicked rotor is considered as the basic model demonstrating all essential properties of quantum chaos.