## sensitive

Overview page. Subjects: Medicine and Health.

*adj.* possessing the ability to respond to a stimulus. The cells of the retina, for example, are sensitive to the stimulus of light and respond by sending nerve impulses to the...

## Chaos and Fractals

August 2012; p ublished online December 2013 .

Book. Subjects: Mathematical and Statistical Physics. 432 pages.

This book provides an elementary introduction to chaos and fractals. It introduces the key phenomena of chaos — aperiodicity, sensitive dependence on initial conditions, bifurcations — via...

##
Nonlinear systems^{∗}

in** Introduction to Mathematical Physics**

January 2013; p ublished online May 2013 .

Chapter. Subjects: Mathematical and Statistical Physics. 35800 words.

Nonlinear systems show two very different faces: unpredictability and unusual coherence. Unpredictability is shown to arise from instabilities and bifurcations that are highly sensitive to...

## The Butterfly Effect

in** Chaos and Fractals**

August 2012; p ublished online December 2013 .

Chapter. Subjects: Mathematical and Statistical Physics. 6952 words.

This chapter explores the phenomenon of sensitive dependence on initial conditions (SDIC), also known as the butterfly effect. SDIC is one of the criteria in the definition of chaos which...

## Universality

in** Chaos and Fractals**

August 2012; p ublished online December 2013 .

Chapter. Subjects: Mathematical and Statistical Physics. 6746 words.

Chaotic behaviour can be observed in bounded orbits that have sensitive dependence on initial conditions and are generated by a deterministic equation. This chapter examines whether chaotic...

## Statistical Stability of Chaos

in** Chaos and Fractals**

August 2012; p ublished online December 2013 .

Chapter. Subjects: Mathematical and Statistical Physics. 3828 words.

Sensitive dependence on initial conditions makes it difficult to predict chaotic systems in the long term, as two initial conditions that begin close to each other rapidly get pushed apart....

## Two‐Dimensional Discrete Dynamical Systems

in** Chaos and Fractals**

August 2012; p ublished online December 2013 .

Chapter. Subjects: Mathematical and Statistical Physics. 4981 words.

Dynamical systems can be iterated functions of one continuous variable. An example of such a system is the iterated logistic equation. This chapter focuses on two-dimensional discrete...

##
*CP* VIOLATION IN HEAVY MESON SYSTEMS

in** Discrete Symmetries and CP Violation**

November 2007; p ublished online January 2008 .

Chapter. Subjects: Mathematical and Statistical Physics. 17198 words.

This chapter discusses the phenomenology of *CP* violation in heavy (D and B) flavoured mesons. The situation in the charm sector is briefly reviewed before focusing on the *B* system, the only...

## Dynamical bifurcation and amplification in Josephson junction oscillators

in** Fluctuating Nonlinear Oscillators**

July 2012; p ublished online September 2012 .

Chapter. Subjects: Mathematical and Statistical Physics. 13801 words.

This chapter presents a theoretical and experimental overview of dynamical bifurcation in driven Josephson junction based nonlinear oscillators. Capture into one of the two driven states...

## MHD MODELS FOR ONE INDUSTRIAL APPLICATION

in** Mathematical Methods for the Magnetohydrodynamics of Liquid Metals**

August 2006; p ublished online September 2007 .

Chapter. Subjects: Mathematical and Statistical Physics. 23746 words.

This chapter is entirely devoted to one industrial application, the simulation of the industrial production of aluminium in electrolytic cells. The simulation of this specific problem has...

## Spectral analysis of economic time series

in** Random Processes in Physics and Finance**

October 2006; p ublished online January 2010 .

Chapter. Subjects: Mathematical and Statistical Physics. 5410 words.

This chapter looks at methods used for spectral analysis of economic time series and other forms including microwave devices and global warming. It examines how the spectrum of economic...

## An analysis of a kick-out diffusion mechanism with charge effects

in** The Quarterly Journal of Mechanics and Applied Mathematics**

November 1998; p ublished online November 1998 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

In this paper we analyse a kick-out model for impurity diffusion in compound semiconductors. The form for the model described here has not previously appeared in the literature. The...

## The Dissociative Diffusion Mechanism with Charge Effects I: One‐Dimensional In‐Diffusion

in** The Quarterly Journal of Mechanics and Applied Mathematics**

September 2001; p ublished online September 2001 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

In this paper we formulate a model of the dissociative mechanism for solid‐state diffusion, which we analyse using asymptotic and numerical methods. The substitutional impurity is fixed to...

## Singular behaviour in a generalized boundary eigenvalue problem for annular plates in tension

in** The Quarterly Journal of Mechanics and Applied Mathematics**

August 2007; p ublished online July 2007 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

A novel application of boundary-layer asymptotic techniques to a generalized linear eigenvalue problem is presented. Our investigation is concerned with a bifurcation equation that governs...

## Junction Conditions for Cracked Elastic Thin Solids Under Bending and Shear

in** The Quarterly Journal of Mechanics and Applied Mathematics**

November 2009; p ublished online November 2009 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

The paper presents an asymptotic model of the spring-like behaviour of small elastic junctions within two-dimensional thin solids subjected to a flexural or shearing load. The approach...

## NEW SHALLOW FLOWS OVER AN OBSTACLE

in** The Quarterly Journal of Mechanics and Applied Mathematics**

November 1997; p ublished online November 1997 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

Lowest-order shallow water theory is applied to flow, in a single vertical plane, over a wide class of monotonic mountains. Many new flows are described. These include steady continuous...