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Titlebook: Nonlinear Evolution and Chaotic Phenomena; Giovanni Gallavotti,Paul F. Zweifel Book 1988 Plenum Press, New York 1988 Renormalization group

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Nekhoroshev-Like Results for Hamiltonian Dynamical Systemsbility of motions in nearly-integrable Hamiltonian systems, and to show how the basic ideas and techniques entering this theorem can be extended to study some other dynamical systems, which are quite relevant for physics, but are not close to integrable ones.
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Relevance of Exponentially Large Time Scales in Practical Applications: Effective Fractal Dimensions time scales rigorously introduced by recent results of classical perturbation theory. The possible relevance for the problem of comparing theoretical previsions with experimental results in statistical models is pointed out.
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Numerical Results from Truncated Navier-Stokes Equationspriate parameters he found, very close together, a torus, a pseudo-periodic orbit of period 29 and a strange attractor. The numerical procedures were more-or-less standard, involving Newton’s method and iteration; the results were exciting.
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A Simple and Compact Presentation of Birkhoff Seriestors yields a compact expression, which actually is a formal summation of the recurrence formulas usually obtained for the normal form of a quasi-integrable hamiltonian..Talk given at the school: “Non Linear Evolution and Chaotic Phenomena”-Noto, June 87
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Quantum Mechanics and Chaosion. This type of motion is characterized by exponential instability of almost all orbits with respect to initial conditions. In turns this instability leads to loss of memory of initial conditions, decay of correlations and approach to statistical equilibrium.
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