Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

This is a review on theoretical and experimental studies on dielectric microcavities, which
play a significant role in fundamental and applied research. The basic concepts and theories …

Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

In this book we describe the basic principles, problems, and methods of cl-sical mechanics.
Our main attention is devoted to the mathematical side of the subject. Although the physical …

Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

This paper concerns heteroclinic connections and resonance transitions in the planar
circular restricted 3-body problem, with applications to the dynamics of comets and asteroids …

We introduce a Lagrangian definition for the boundaries of coherent structures in two-
dimensional turbulence. The boundaries are defined as material lines that are linearly stable …

The statistical properties of so-called quantum chaos are considered on the basis of the well-
known model of a kicked rotator. Attention is paid mainly to the quasienergy spectrum and …

Symplectic maps are the discrete-time analog of Hamiltonian motion. They arise in many
applications including accelerator, chemical, condensed-matter, plasma, and fluid physics …

Some 30% of disc galaxies have a pronounced central bar features in the disc plane and
many more have weaker features of a similar kind. Kinematic data indicate that the bar …