Nonlinear time series analysis gained prominence from the late 1980s on, primarily because
of its ability to characterize, analyze, and predict nontrivial features in data sets that stem …

An introduction to the mathematical, computational, and analytical techniques used for
modeling biological rhythms, presenting tools from many disciplines and example …

The emergence of synchronization in a network of coupled oscillators is a fascinating
subject of multidisciplinary research. This survey reviews the vast literature on the theory …

From the reviews:" This book is concerned with the application of methods from dynamical
systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a …

It has been over a decade since the release of the now classic original edition of Murray's
Mathematical Biology. Since then mathematical biology has grown at an astonishing rate …

The plan to publish the present book arose while I was preparing a joint work with Gunter
Gabisch (Gabisch, G./Lorenz, H.-W.: Business Cycle Theory. Berlin-Heidelberg-New York …

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 …

Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in
physics–synchronization that occurs in coupled non-linear dissipative oscillators. Examples …

We investigate the interaction of a pair of weakly nonlinear oscillators (eg. each near a Hopf
bifurcation) when the coupling strength is comparable to the attraction of the limit cycles …

This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …