Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

We propose a description of normalized distributions (measures) lying upon possibly fractal
sets; for example those arising in dynamical systems theory. We focus upon the scaling …

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 …

Written when the young science of chaos was gaining a foothold in the scientific community,
this book introduces the field's concepts, applications, theory, and technique. Suitable for …

This book is a monograph on chaos in dissipative systems written for those working in the
physical sciences. Emphasis is on symbolic description of the dynamics and various …

Bifurcation diagrams of the driven van der Pol oscillator are given showing mode-locking
and period-doubling cascades. At low driving amplitudes locking regions occur following …

In the 17th century the Dutch physicist Christian Huyghens observed that two clocks hanging
back to back on the wall tend to synchronize their motion. This phenomenon is known as …

We have conducted an experiment on the transition from quasiperiodic to weakly turbulent
flow of a fluid contained between concentric cylinders with the inner cylinder rotating and the …

We study an experimental orbit on a two-torus with a golden-mean winding number
obtained from a forced Rayleigh-Bénard system at the onset of chaos. This experimental …

9.5. A priori estimates of the dimension of the attractor 339 11. New trends in the theory of
dissipative structures 349 10. Elementary types ofordering in two-dimensional systems 339 …