This heavily illustrated book collects in one source most of the mathematically simple
systems of differential equations whose solutions are chaotic. It includes the historically …

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 …

A general formalism describing a type of energy-conservative system is established. Some
possible dynamic behaviors of such energy-conservative systems are analyzed from the …

One of the most characteristic features of relativistic particle dynamics at cyclotron
resonances is the stepwise dependence of energy and momentum on time [VA Buts and AG …

The result of the second Appalachian conference on neurodynamics, this volume focuses on
the problem of" order," its origins, evolution, and future. Central to this concern lies our …

It is shown that in the general case the conditions of cyclotron resonances should be
formulated with regard to the influence of intense electromagnetic fields, if present, on the …

We describe a form of piecewise deterministic dynamics, where solutions evolve
deterministically throughout most of phase space, but, in the presence of noise, make …

Before embarking on more complicated and more interesting simulations of nonlinear
dynamical systems in higher dimensions, it is important to have a good understanding of low …

The mechanism of a chemical reaction in an ideal mixing reactor has been found. It was
described by two ordinary differential equations within the framework of the law of mass …

Over the last decade, the chaotic behaviors of dynamical systems have been extensively
explored. Recently, discovering or develo** a 2D system of ordinary differential equations …