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Poincare’s work on celestial mechanics: predictability versus determinism in the context ofrestricted three-body problem
Journal Title
International Journal of Academic Research
Year (definitive publication)
2012
Language
English
Country
Azerbaijan
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Abstract
It is exposed the Poincare’s work (1880's) in the system defining the restricted 3-body problem which led to the discovery of a special kind of behavior – the dynamical instability. Contrary to the widespread belief that the Deterministic Chaos Theory began with the computational work of Lorenz (1960's), the Poincare's theoretical research was sufficiently clear about the existence of chaotic deterministic behavior. Until the time of Poincare, there was a tacit assumption that the uncertainty in the output does not arise from any randomness in the dynamical laws, since they are completely deterministic, but rather from the lack of the infinite accuracy in the initial conditions. In this paper it is emphasized that the issues of determinism and predictability are distinct.
Acknowledgements
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Keywords
Dynamical instability,Chaos theory,Determinism,Unpredictability
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Computer and Information Sciences - Natural Sciences
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