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 …

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

This book treats stochastic motion in nonlinear oscillator systems. It describes a rapidly
growing field of nonlinear mechanics with applications to a number of areas in science and …

The phase space for Hamiltonians of two degrees of freedom is usually divided into
stochastic and integrable components. Even when well into the stochastic regime, integrable …

Volume 21 provides the basis of the MHD theory in two extended reviews. The first review
deals with high-temperature plasma equilibrium and stability in conventional stellarators (the …

To characterize transport in a deterministic dynamical system is to compute exit time
distributions from regions or transition time distributions between regions in phase space …

We derive, and discuss the properties of, a symplectic map for the dynamics of bodies on
nearly parabolic orbits. The orbits are perturbed by a planet on a circular, coplanar orbit …

As in the first edition, the influence of random noise on the chaotic behavior of dissipative
dynamical systems is investigated. Problems are illustrated by mechanical examples. This …

Contents: Dissipative Systems: Introduction Nonlinearity Period Doubling to Chaos
Lyapunov Exponent Power Spectra Correlations Remarks Feigenbaum Universality …

Time-periodic Hamiltonian systems are an easily accessible area for comparing quantum
and classical chaos. This pedagogical paper reviews the two important models of the kicked …