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Determinism versus predictability in the context of Poincare's work on the restricted 3-body problem
Journal Title
Academic Research International
Year (definitive publication)
2012
Language
English
Country
Pakistan
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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