Chaos is considered as one of the most important concepts in modern science. It originally appeared only in computer simulation (the famous Lorenz equation of 1963), but this changed with the introduction of Chua's oscillator (1986) - a simple electronic circuit with the ability to generate a vast range of chaotic behaviors. With Chua's circuit, chaos became a physical phenomenon, readily understood and represented in mathematical language. Yet, even so, it is still difficult for the non-specialist to appreciate the full variety of behaviors that the system can produce.This book aims to bridge the gap. A gallery of nearly 900 "chaotic attractors" - some generated by Chua's physical circuit, the majority through computer simulation of the circuit and its generalizations - are illustrated as 3D color images, time series and fast Fourier transform algorithms. For interested researchers, also presented is the information necessary to replicate the behaviors and images. Finally, how the fractal richness can be plied to artistic ends in generating music and interesting sounds is shown; some examples are included in the DVD-ROM which comes with the book.The contents have also appeared in the International Journal of Bifurcation and Chaos (2007).
First of all thank you for visiting !All the drawings you are going to see are in black and white because, to put it in a nutshell, I had difficulties with the printing quality of my pastels on coloured sheets. My fault! Anyway, I named my present book: The Pearl and Jay Gallery because it is sexier than black and white, isn't it ?May I introduce myself ? I am French so I apologise in anticipation for my mistakes.I am Marie Gallicher, I am an amateur artist who decided to draw more seriously in 2005 when I found out there was no French Wikipedia page about Eric Porter, the British classical actor. So I created it after having been seeking for months articles and obituaries in English on Internet and translating them into French. Then, I took a breath and stepped forward to draw when it came to the illustration of the article: why not? (It was crucial because years after I was approached by Helen Monk thanks to my portraits of Eric and we worked together on Eric Porter's biography, my dearest dream.)Once the Wikipedia article was completed I decided to show my drawings on an amateurs artists' website and to my sad surprise, reactions were violents : « What ? Why always this Eric Porter ? » So, after having (morally) slammed the door, I calmed down: I decided, on one hand, to enter the Saatchi Gallery Showdown Contest and on the other hand, to draw other subjects. You know, I am a bit quick-tempered sometimes. I began by pencil (I didn't even mention it under the drawings whereas graphite is indeed quite a noble word) because I believed that black and white was easier to deal with, then I tried charcoal (and dusted my hands !) and after that, I tried pastels. In the beginning, these pastels of mine looked very much like children's drawings with no depth, no contrast. I learned to play with charcoal and white pastel, with coloured pastels and sanguine and tried...hard. Hope I improved my skills a little (You can sleep tight Leonardo!)Though I was not too bad in art at school, I had nothing more than the ordinary training you get there. I am a self-taught artist who loves visiting museums, can dive during hours into a drawing, fighting to catch the look alike (sometimes I lose).When a child, I had fun by drawing with a pen on my mother's writing paper she used to send letters, she didn't appreciate my artistic appeal that much when it occured to me to draw on our flat's paperwall and on some expensive books (no Internet to express oneself at the time). Yes I was born in this incredible world of 1962 when there was no Internet, 2 channels on the TV (a black and white one besides) and no mobile, no micro-wave devices, no Facebook and no Twitter. So you will be understanding about my ability to communicate : I am a real T-Rex. And YES, I wonder too how possible it was to ever survived in such a world !
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