Near-integrability of periodic FPU-chains

Physica A: Statistical Mechanics and its Applications

Volumn 285, Issue 3, 2000, Pages 467-482

  Rink, Bob ^a   Verhulst, Ferdinand ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON RESONANCE; ELECTRON TRANSPORT PROPERTIES; FERMI LEVEL; FOURIER TRANSFORMS; INTEGRATION; MATRIX ALGEBRA; THEOREM PROVING;

FERMI-PASTA-ULAM CHAIN; KAM THEOREM; NORMALISATION; RECURRENCE;

STATISTICAL MECHANICS;

EID: 0034301979     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00253-3     Document Type: Article

References (13)

1. E. Fermi, J. Pasta, S. Ulam, Los Alamos Report LA-1940, in: "E. Fermi, Collected Papers", 2 (1955) 977-988.
2. Ford J. The Fermi-Pasta-Ulam problem. paradox turns discovery Phys. Rep. 213:1992;271-310.
3. Jackson E.A. Perspectives of Nonlinear Dynamics, Part 2. 1991;Cambridge University Press, Cambridge.
4. Livi R., Pettini M., Ruffo S., Sparpaglione M. Equipartition threshold in nonlinear large Hamiltonian systems. the Fermi-Pasta-Ulam model Phys. Rev. A. 31:1985;1039-1045.
5. J.A. Sanders, On The Theory of Nonlinear Resonance, Ph.D. Thesis, University of Utrecht, 1978.
6. B.W. Rink, Symmetry and resonance in periodic FPU-chains, to be published.
7. Verhulst F. Symmetry and integrability in Hamiltonian normal forms. Bambusi D., Gaeta G. Symmetry and Perturbation Theory. 1998;Quaderni GNFM, Firenze.
8. Poggi P., Ruffo S. Exact solutions in the FPU oscillator chain. Physica D. 103:1997;251-272.
9. Verhulst F. Nonlinear Differential Equations and Dynamical Systems. 1996;Springer, Berlin.
10. Arnold V.I. Dynamical Systems III. 1988;Springer, Berlin.
11. Verhulst F. Discrete symmetric dynamical systems at the main resonances with applications to axi-symmetric galaxies. Philos. Trans. Roy. Soc. London. 290:1979;435-465.
12. Ford J., Lunsford G.H. On the stability of periodic orbits for nonlinear oscillator systems in regions exhibiting stochastic behavior. J. Math. Phys. 13:1972;700-705.
13. Verhulst F. On averaging methods for partial differential equations. Degasperis A., Gaeta G. SPT98-Symmetry and Perturbation Theory II. 2000;World Scientific, Singapore.