Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous.
While a good understanding of the onset of chaos has been achieved, using as a …

▪ Abstract I have sometimes thought that what makes a man's work classic is often just this
multiplicity [of interpretations], which invites and at the same time resists our craving for a …

This textbook presents a modern account of turbulence, one of the greatest challenges in
physics. The state-of-the-art is put into historical perspective five centuries after the first …

Our flow-visualization and spectral studies of flow between concentric independently
rotating cylinders have revealed a surprisingly large variety of different flow states.(The …

We present a hypothesis for the universal properties of operators evolving under
Hamiltonian dynamics in many-body systems. The hypothesis states that successive …

This book aims to bridge the gap between practising mathematicians and the practitioners of
turbulence theory. It presents the mathematical theory of turbulence to engineers and …

The particle paths of the Arnold-Beltrami-Childress (ABC) flows\[u=(A\sin z+ C\cos y, B\sin x+
A\cos z, C\sin y+ B\cos x).\] are investigated both analytically and numerically. This three …

This work compares time, frequency and state-space analyses of pressure measurements
from fluidized beds. The experiments were carried out in a circulating fluidized bed …

Viscous incompressible 3-D flow can. become turbulent when the Reynolds number E is
sufficiently large. The latter is expressible, in terms of a typical scale L of the flow, a typical …

The nature of high-dimensional chaos exhibited by a class of delay-differential equation is
investigated by various methods. This delay-differential equation models systems with time …