The Essence Of ChaosCRC Press, 2 sep 2003 - 227 pagina's The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time. |
Inhoudsopgave
CHAPTER 1 Glimpses of Chaos | 3 |
CHAPTER 2 A Journey into Chaos | 25 |
CHAPTER 3 Our Chaotic Weather | 77 |
CHAPTER 4 Encounters with Chaos | 111 |
CHAPTER 5 What Else Is Chaos? | 161 |
APPENDIX 1 The Butterfly Effect | 179 |
APPENDIX 2 Mathematical Excursions | 183 |
APPENDIX 3 A Brief DynamicalSystems Glossary | 203 |
Bibliography | 211 |
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