Chaotic time series data are observed routinely in experiments on physical systems and in
observations in the field. The authors review developments in the extraction of information of …

This paper reports on the application to field measurements of time series methods
developed on the basis of the theory of deterministic chaos. The major difficulties are …

Bubbles in liquids, soft and squeezy objects made of gas and vapour, yet so strong as to
destroy any material and so mysterious as at times turning into tiny light bulbs, are the topic …

Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability
Analysis was published. During that time period the? eld of computational bifurcation has …

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 …

Through the previous three editions, Handbook of Differential Equations has proven an
invaluable reference for anyone working within the field of mathematics, including …

The question of how reversible microscopic equations of motion can lead to irreversible
macroscopic behaviour has been one of the central issues in statistical mechanics for more …

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 …

The Lyapunov characteristic exponents play a crucial role in the description of the behavior
of dynamical systems. They measure the average rate of divergence or convergence of …

We present a survey of the theory of the Lyapunov Characteristic Exponents (LCEs) for
dynamical systems, as well as of the numerical techniques developed for the computation of …