This article introduces a new chaotic system of three-dimensional quadratic autonomous
ordinary differential equations, which can display (i) two 1-scroll chaotic attractors …

Abstract1 It came as a surprise to most scientists when Lorenz in 1963 discovered chaos in
a simple system of three autonomous ordinary differential equations with two quadratic …

The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

Книга написана бельгийскими авторами. Один из них, И. Пригожин ученый с мировым
именем, лауреат Нобелевской премии, хорошо известен советскому читателю по …

This text provides an introduction to the exciting new developments in chaos and related
topics in nonlinear dynamics, including the detection and quantification of chaos in …

A simple four-variable oscillator containing but one quadratic term produces a higher form of
chaos with two (rather than one) directions of hyperbolic instability on the attractor. The …

In an important new contribution to the literature of chaos, two distinguished researchers in
the field of physiology probe central theoretical questions about physiological rhythms …

This paper provides a rigorous mathematical proof that the double scroll is indeed chaotic.
Our approach is to derive a linearly equivalent class of piecewise-linear differential …

The development of the theory of absolute stability, the theory of bifurcations, the theory of
chaos, theory of robust control, and new computing technologies has made it possible to …

In recent years there has been an explosion of research centred on the appearance of so-
called'chaotic behaviour'. This book provides a largely self contained introduction to the …