The interplay of nonlinearity with lattice discreteness leads to phenomena and propagation
properties quite distinct from those appearing in continuous nonlinear systems. For a large …

Dynamical systems with independent (continuous or discrete) time variable t and phase
space variable x are called reversible if they are invariant under the combination {t→− t, x→ …

This book introduces readers to the full range of current and background activity in the
rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics …

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 …

This introduction to the theory of Hamiltonian chaos outlines the main results in the field, and
goes on to consider implications for quantum mechanics. The study of nonlinear dynamics …

For beginners: This review presents universal aspects of stochasticity of simple (1.5-or 2-
degree-of-freedom) Hamiltonian systems. Stochasticity is the seemingly erratic wandering of …

The two-dimensional map**, introduced by Hénon in 1976, which yields a strange
attractor for the parameter values a= 1.4, b= 0.3 has been investigated over the extended …

We introduce kicked p-spin models describing a family of transverse Ising-like models for an
ensemble of spin-1/2 particles with all-to-all p-body interaction terms occurring periodically …

Page 1 Number 289 J.-P. Eckmann, H. Koch and P. Wittwer A computer-assisted proof of
universality for area-preserving maps MATHEMATICAL ΤΡΗΤΟΣ ΜΗ AMERICAN АГЕЛМЕ …

The methods of the real-space renormalization group, and their application to critical and
chaotic phenomena are reviewed. The article consists of two parts: the first part deals with …