Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

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

The paradigm of deterministic chaos has influenced thinking in many fields of science.
Chaotic systems show rich and surprising mathematical structures. In the applied sciences …

A new edition of this well-established monograph, this volume provides a comprehensive
overview over the still fascinating field of chaos research. The authors include recent …

During the 1980's there were many developments regarding the nonequilibrium statistical
mechanics of dense classical atomic fluids. These developments have had a major impact …

Abstract Introduction; Part I. Essentials of Nonlinear Dynamics: 1. Nonlinear map**s; 2.
Probability in the theory of chaotic systems; 3. Symbolic dynamics; Part II. Essentials of …

Pipe flow is a prominent example among the shear flows that undergo transition to
turbulence without mediation by a linear instability of the laminar profile. Experiments on …

Recent remarkable progress in computing power and numerical analysis is enabling us to
fill a gap in the dynamical systems approach to turbulence. A significant advance in this …

Using two coupled quartic oscillators for illustration, the quantum mechanics of simple
systems whose classical analogs have varying degrees of non-integrability is investigated …

This paper reports on the application to field measurements of time series methods
developed on the basis of the theory of deterministic chaos. The major difficulties are …