The fundamental mechanisms that control and regulate biological organisms exhibit a
surprising level of complexity. Oscillators are perhaps the simplest motifs that produce time …

Nonlinear systems with two competing frequencies show locking or resonances. In lasers,
the two interacting frequencies can be the cavity repetition rate and a frequency externally …

Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

We propose a description of normalized distributions (measures) lying upon possibly fractal
sets; for example those arising in dynamical systems theory. We focus upon the scaling …

A model of a single neuron with chaotic dynamics is proposed by considering the following
properties of biological neurons:(1) graded responses,(2) relative refractoriness and (3) …

This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear
oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators …

Written when the young science of chaos was gaining a foothold in the scientific community,
this book introduces the field's concepts, applications, theory, and technique. Suitable for …

This book is a monograph on chaos in dissipative systems written for those working in the
physical sciences. Emphasis is on symbolic description of the dynamics and various …

Qualitative features of a one-dimensional lattice of coupled-logistic maps are investigated.
First, kink-antikink patterns of 2 n-periodic cycles with their period-doubling bifurcations are …

In this review article, we present in some detail new trends in application of asymptotic
techniques to mechanical problems. First we consider the various methods which allows for …