… A proper presentation of the diverse professional perspectives that make up nonlinear
science requires careful organization of the Encyclopedia, which we attempt to provide. Although …

A map is a dynamical system with discrete time. Such dynamical systems are defined by
iterating a transformation φ of points x xn+ 1= φ (xn),(1) from a space M of dimension d (or a …

… The encyclopedia under review is an attempt to provide a … us working in the area of Nonlinear
Science. The book aims to ‘… sciences can study how concepts of nonlinear science are …

Entropy is a quantity characterizing disorder, alias randomness. This conclusion is the result
of successive advances since the pioneering works by Sadi Carnot in 1824 on the …

… Today, nonlinear control systems are used to describe a great variety of scientific and
engineering phenomena ranging from social, life, and physical sciences to engineering and …

Surprisingly, when liquids are exposed to intense ultrasound, high-energy chemical reactions
occur, often with accompanied by the emission of light. Acoustic cavitation is responsible …

… In addition, we are pleased that the mathematical portions of our Encyclopedia have been
selected by Math Reviews for indexing in MathSciNet. Also, ACM, the world’s largest educa…

This article retrospects the studies of the predictability of El Niño-Southern Oscillation (ENSO)
events within the framework of error growth dynamics and reviews the results of previous …

These questions lie at the heart of understanding coordination. Given the ubiquity of
coordinated behavior in living things, one might have expected its lawful basis to have been …