We apply the Bogoliubov-Krilov method of averaging to the study of the stability of the pi-mode solution of the Fermi-Pasta-Ulam beta-system, with negative values of the nonlinearity parameter beta in the Hamiltonian of the system. The analysis is made as a function of the number N of the particles and of the product epsilon*|beta|, where epsilon is the energy density. The results of this application are in excellent agreement with those obtained by the direct integration of motion equation.
Application of the Bogoliubov-Krylov method of averaging to the Fermi-Pasta-Ulam system.
LEO, Mario;
2006-01-01
Abstract
We apply the Bogoliubov-Krilov method of averaging to the study of the stability of the pi-mode solution of the Fermi-Pasta-Ulam beta-system, with negative values of the nonlinearity parameter beta in the Hamiltonian of the system. The analysis is made as a function of the number N of the particles and of the product epsilon*|beta|, where epsilon is the energy density. The results of this application are in excellent agreement with those obtained by the direct integration of motion equation.File in questo prodotto:
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