Books in the World Scientific Series on Nonlinear Science Series A series

Discusses the applications of chaos control methods in circuits and systems. This book emphasises on bridging the gap between chaos control methods and circuits and systems.

This book is devoted to the history of chaos theory, from celestial mechanics (three-body problem) to electronics and meteorology. Many illustrative examples of chaotic behaviors exist in various contexts found in nature (chemistry, astrophysics, biomedicine). This book includes the most popular systems from chaos theory (Lorenz, Rössler, van der Pol, Duffing, logistic map, Lozi map, Hénon map etc.) and introduces many other systems, some of them very rarely discussed in textbooks as well as in scientific papers. The contents are formulated with an original approach as compared to other books on chaos theory.

Technical problems often lead to differential equations with piecewise-smooth right-hand sides. This book presents some of the fascinating new phenomena that one can observe in piecewise-smooth dynamical systems.

A short monograph that, owing to geometric interpretation complete with computer colour graphics, makes it easy to understand even very complex advanced concepts of chaotic dynamics.

Presents a theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments.

For researchers in nonlinear science, this work includes coverage of linear systems, stability of solutions, periodic and almost periodic impulsive systems, integral sets of impulsive systems, optimal control in impulsive systems, and more.

In 1971, Leon O Chua presented the formulation of a memristor, which was postulated as the fourth circuit element in electrical circuit theory - one that could join the existing core group of elements: capacitor, resistor and inductor. This book describes advanced research on significant issues in the field of memristors.

Contains numerous results in 1-dimensional cellular automata. This title states that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration.