Travelling waves in FPU lattices

Discrete and Continuous Dynamical Systems

Volumn 11, Issue 4, 2004, Pages 867-880

  Treschev, Dmitry ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Asynchronous exponential growth; Eventual and essential compactness; Growth bounds; Integrated semigroups; Semigroups

Indexed keywords

EID: 13244264835     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2004.11.867     Document Type: Article

References (8)

1. Fermi E., Pasta J. and Ulam S., Studies of nonlinear problems. Los Alamos Scientific Laboratory Report LA-1940 (reprinted in Lect. Appl. Math. 15 (1955) 143-156).
2. Fermi E., Pasta J. and Ulam S., Studies of nonlinear problems. Los Alamos Scientific Laboratory Report LA-1940 (reprinted in Lect. Appl. Math. 15 (1955) 143-156).
3. Friesecke G., Matthies K., Atomic-scale localization of high-energy solitary waves on lattices. Physica D 171, (2002) 211-220.
4. Friesecke G., Wattis J., Existence theorem for solitary waves on lattices. Comm.Math.Phys. 161 (1994) no.2, 391-418. MR95c:35205
5. Friesecke G., Pego R.L., Solitary waves on lattices I. Qualitative properties, renormalization and continuum limit. Nonlinearity. 12 (1999) no.6, 1601-1627. MR2001h:37158
6. Iooss G., Travelling waves in the Fermi-Pasta-Ulam lattice, Nonlinearity 13 (2000) 849-866.
7. Iooss G. and Kirchgässner K., Travelling waves in a chain of coupled nonlinear oscillators, Comm. Math. Phys. (2000) 439-464.
8. MacKay, R. S. Discrete breathers: classical and quantum. Phys. A 288 (2000), no. 1-4, 174-198.