It has often been remarked that turbulence is a subject of great scientific and technological
importance, and yet one of the least understood (eg McComb 1990). To an outsider this may …

Since the pioneering experiment by the father-son team of the Kapitza family during their
house arrest in the late forties (Kapitza & Kapitza 1949), wave evolution on a falling film has …

Out of equilibrium, a lack of reciprocity is the rule rather than the exception. Non-reciprocity
occurs, for instance, in active matter,,,,–, non-equilibrium systems,–, networks of neurons …

Turbulence pervades our world, from weather patterns to the air entering our lungs. This
book describes methods that reveal its structures and dynamics. Building on the existence of …

We have modelled the wall region of a turbulent boundary layer by expanding the
instantaneous field in so-called empirical eigenfunctions, as permitted by the proper …

Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that
it not only defines the concept of chaos in deterministic systems, but it describes the …

Pattern formation in physical systems is one of the major research frontiers of mathematics.
A central theme of this book is that many instances of pattern formation can be understood …

The use of geometric methods in classical mechanics has proven fruitful, with wide
applications in physics and engineering. In this book, Professor Marsden concentrates on …

Using the concepts of chaotic dynamical systems, we present an interpretation of dynamic
neural activity found in cortical and subcortical areas. The discovery of chaotic itinerancy in …

Wave evolution on a falling film is a classical hydrodynamic instability whose rich wave
dynamics have been carefully recorded in the last fifty years. Such waves are known to …