Abstract
Progress in the theory of stability is presented in the particular example of the Lagrangian motions of the three-body problem and is then generalized.
The notion of predictability is discussed and, surprisingly, in some cases the chaotic motions allow better predictions than the regular motions.
The Arnold diffusion conjecture gives a general picture of Hamiltonian dynamical systems, a picture in which chaotic motions have a major part.
All these recent advances have renewed the picture of Physics.
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© 1991 Plenum Press, New York
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Marchal, C. (1991). Predictability, Stability and Chaos in Dynamical Systems. In: Roy, A.E. (eds) Predictability, Stability, and Chaos in N-Body Dynamical Systems. NATO ASI Series, vol 272. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5997-5_6
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DOI: https://doi.org/10.1007/978-1-4684-5997-5_6
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