This work aims to familiarize the reader with essential properties of the chaotic dynamics of Hamiltonian systems, avoiding special mathematical tools not typical for physics. It includes material on separatix chaos, small nonlinearity chaos, fractional kinetics, and discussions on Maxwell's demon and the foundation of statistical physics. The book should be of use to those who are actively working on the problem of dynamical chaos. It introduces the physicist to the world of Hamiltonian chaos and the mathematics to actual physical problems. The material can also be used by graduate students.
Introduction to chaotic systems; Hamiltonian dynamics; discrete maps - new type of dynamical equations; chaos and maps; separatix chaos; nonlinearity vs. pertubation; chaotic kinetics; fractals and chaos; renormalization and chaos; fractional kinetics; Maxwell's demon (MD) and chaotic dynamics; chaos, symmetry and percolation; numerical simulation and chaos; chaos of field lines and Lagranian chaos; general remarks; problems.