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STUDIES OF THE NONLINEAR PROBLEMS
Author(s) -
E. Fermi,
P Pasta,
Stanislaw M. Ulam,
M. Tsingou
Publication year - 1955
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/4376203
Subject(s) - iterated function , isothermal process , nonlinear system , mathematics , gas phase , phase (matter) , thermodynamics , physics , statistical physics , materials science , mathematical analysis , quantum mechanics
Their studies were first described in Los Alamos Report LA-1940 May 1955 LA-1940 Page 4 " We have, therefore, a dynamical system of 64 particles with forces acting between neighbors with fixed end points. If x i denotes the displacement of the i-th point from its original position, and α denotes the coefficient of the quadratic term in the force between the neighboring mass points and β that of the cubic term, the equations were either¨x

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