Oscillatory instabilities of standing waves in one-dimensional nonlinear lattices

Physical Review Letters

Volumn 85, Issue 3, 2000, Pages 550-553

  Morgante, Anna Maria ^a   Johansson, Magnus ^a   Kopidakis, Georgios ^a   Aubry, Serge ^a  

^a CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

STANDING WAVES;

WAVE EQUATIONS;

EID: 17744408735     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.550     Document Type: Article

References (19)

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11. A. M. Morgante et al. (to be published).
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15. S. Aubry, in Twist Mappings and their Applications, edited by R. McGehee and K. R. Meyer (Springer-Verlag, New York, 1992), p. 7, and references therein.
16. The midgap trajectory consists of isolated, nonrecurrent points in the gaps of the Cantorus with rotation angle Q, to which it is homoclinic; see J. Mather, Publ. Math. IHES 63, 153 (1986); A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems (Cambridge University Press, Cambridge, England, 1995), p. 441.
17. The midgap trajectory consists of isolated, nonrecurrent points in the gaps of the Cantorus with rotation angle Q, to which it is homoclinic; see J. Mather, Publ. Math. IHES 63, 153 (1986); A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems (Cambridge University Press, Cambridge, England, 1995), p. 441.
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