Chaos in nature
著者
書誌事項
Chaos in nature
（World Scientific series on nonlinear science / editor, Leon O. Chua, ser. A,
World Scientific, c2013
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
Chaos theory deals with the description of motion (in a general sense) which cannot be predicted in the long term although produced by deterministic system, as well exemplified by meteorological phenomena. It directly comes from the Lunar theory - a three-body problem - and the difficulty encountered by astronomers to accurately predict the long-term evolution of the Moon using "Newtonian" mechanics. Henri Poincare's deep intuitions were at the origin of chaos theory. They also led the meteorologist Edward Lorenz to draw the first chaotic attractor ever published. But the main idea consists of plotting a curve representative of the system evolution rather than finding an analytical solution as commonly done in classical mechanics. Such a novel approach allows the description of population interactions and the solar activity as well. Using the original sources, the book draws on the history of the concepts underlying chaos theory from the 17th century to the last decade, and by various examples, show how general is this theory in a wide range of applications: meteorology, chemistry, populations, astrophysics, biomedicine, etc.
目次
- From Celestial Mechanics to Chaos: The Laws of Dynamics
- The Three Body Problem 11
- Simplification of the Three Body Problem
- The Success of Celestial Mechanics
- Birth of the Global Approach 41
- The Stability of the Solar System
- Chaos in Nature: Properties and Examples: Periodic and Chaotic Oscillators
- From Mathematics to Physical Systems
- From Meteorology to Chaos: The Second Wave
- Structure of Chaotic Attractors
- Chemical Reactions
- Population Evolution 161
- Chaos in Biology
- Chaotically Variable Stars.
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