Multiple states of intrinsic localized modes

Physical Review B - Condensed Matter and Materials Physics

Volumn 58, Issue 9, 1998, Pages 5423-5428

  Kivshar, Yuri S ^a   Champneys, Alan R ^b   Cai, David ^c   Bishop, Alan R ^d  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

^c NEW YORK UNIVERSITY   (United States)

^d LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001416320     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. A. S. Dolgov, Fiz. Tverd. Tela 28, 1641 (1986) [Sov. Phys. Solid State 28, 907 (1986)]; A. J. Sievers and S. Takeno, Phys. Rev. Lett. 61, 970 (1988); J. B. Page, Phys. Rev. B 41, 7835 (1990).
2. A. S. Dolgov, Fiz. Tverd. Tela 28, 1641 (1986) [Sov. Phys. Solid State 28, 907 (1986)]; A. J. Sievers and S. Takeno, Phys. Rev. Lett. 61, 970 (1988); J. B. Page, Phys. Rev. B 41, 7835 (1990).
3. A. S. Dolgov, Fiz. Tverd. Tela 28, 1641 (1986) [Sov. Phys. Solid State 28, 907 (1986)]; A. J. Sievers and S. Takeno, Phys. Rev. Lett. 61, 970 (1988); J. B. Page, Phys. Rev. B 41, 7835 (1990).
4. A. S. Dolgov, Fiz. Tverd. Tela 28, 1641 (1986) [Sov. Phys. Solid State 28, 907 (1986)]; A. J. Sievers and S. Takeno, Phys. Rev. Lett. 61, 970 (1988); J. B. Page, Phys. Rev. B 41, 7835 (1990).
5. A. J. Sievers and J. B. Page, in Dynamical Properties of Solids, edited by G. K. Horton and A. A. Maradudin (North-Holland, Amsterdam, 1995), Vol. 7, p. 137; S. A. Kiselev, S. R. Bickham, and A. J. Sievers, Comments Condens. Matter Phys. 17, 135 (1995); S. Flach and C. R. Willis, Phys. Rep. 295, 181 (1998).
6. A. J. Sievers and J. B. Page, in Dynamical Properties of Solids, edited by G. K. Horton and A. A. Maradudin (North-Holland, Amsterdam, 1995), Vol. 7, p. 137; S. A. Kiselev, S. R. Bickham, and A. J. Sievers, Comments Condens. Matter Phys. 17, 135 (1995); S. Flach and C. R. Willis, Phys. Rep. 295, 181 (1998).
7. A. J. Sievers and J. B. Page, in Dynamical Properties of Solids, edited by G. K. Horton and A. A. Maradudin (North-Holland, Amsterdam, 1995), Vol. 7, p. 137; S. A. Kiselev, S. R. Bickham, and A. J. Sievers, Comments Condens. Matter Phys. 17, 135 (1995); S. Flach and C. R. Willis, Phys. Rep. 295, 181 (1998).
8. See, e.g., D. Bonart, A. P. Mayer, and U. Schröder, Phys. Rev. Lett. 75, 870 (1995); T. Rössler and J. B. Page, ibid. 78, 1287 (1997).
9. See, e.g., D. Bonart, A. P. Mayer, and U. Schröder, Phys. Rev. Lett. 75, 870 (1995); T. Rössler and J. B. Page, ibid. 78, 1287 (1997).
10. D. Cai, A. R. Bishop, and N. Grønbech-Jensen, Phys. Rev. E 56, 7246 (1997).
11. K. Ø. Rasmussen, D. Cai, A. R. Bishop, and N. Grønbech-Jensen, Phys. Rev. E 55, 6151 (1997).
12. K. Yoshimura and S. Watanabe, J. Phys. Soc. Jpn. 60, 82 (1991); Yu. S. Kivshar, Phys. Lett. A 161, 80 (1991).
13. K. Yoshimura and S. Watanabe, J. Phys. Soc. Jpn. 60, 82 (1991); Yu. S. Kivshar, Phys. Lett. A 161, 80 (1991).
14. D. Cai, A. R. Bishop, and N. Grønbech-Jensen, Phys. Rev. Lett. 72, 591 (1994).
15. Yu. S. Kivshar and M. Peyrard, Phys. Rev. A 46, 3198 (1992).
16. S. Rakhmanova and D. L. Mills, Phys. Rev. B 54, 9225 (1996).
17. R. S. MacKay and S. Aubry, Nonlinearity 7, 1623 (1994); D. Bambusi, ibid. 9, 433 (1996).
18. R. S. MacKay and S. Aubry, Nonlinearity 7, 1623 (1994); D. Bambusi, ibid. 9, 433 (1996).
19. A more general model has been recently introduced by A. R. Champneys and J. Härterich (unpublished), who analyzed cascades of homoclinic orbits to a saddle-center for different reversible and perturbed Hamiltonian systems. However, that general model may not correspond to a relevant physical system.
20. A. R. Champneys and M. D. Groves, J. Fluid Mech. 342, 199 (1997).
21. A. Mielke, P. Holmes, and O. O'Reilly, J. Dynam. Differ. Equations 4, 95 (1992).
22. A. R. Champneys, Physica D 112, 158 (1998).
23. A. V. Buryak and Yu. S. Kivshar, Phys. Lett. A 197, 407 (1995).
24. J. C. Eilbeck, in Lecture Notes in Physics-Nonlinear Coherent Structures in Physics and Biology, edited by M. Remoissenet and M. Peyard (Spring Verlag, New York, 1991), pp. 143-150, and references therein.