Observation of periodic, quasiperiodic and chaotic localized excitations in nonlinear diatomic macro-lattice

Modern Physics Letters B

Volumn 10, Issue 1-2, 1996, Pages 11-22

  Lou, Son Yue ^a,b,c   Yu, Jun ^d   Lin, Ji ^e   Huang, Guoxiang ^f,g   Zhang, Jia Kung ^d  

^a Ningbo Normal College   (China)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^c FUDAN UNIVERSITY   (China)

^d Department of Civil Engineering   (China)

^e ZHEJIANG NORMAL UNIVERSITY   (China)

^f EAST CHINA NORMAL UNIVERSITY   (China)

^g UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011287810     PISSN: 02179849     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0217984996000031     Document Type: Article

References (50)

1. J. Scott. Russell, Report on Waves. In Rep. 14th Meeting of the British Assoc. for the Advancement of Science (York, 1845) p. 311.
2. D. J. Korteweg and G. de Vries, Phil. Mag. 39, 422 (1985).
3. C. S. Gardner and G. K. Morikawa, Courant Inst. Math. Sci. Res. Rep. NYO-9082, New York University, New York (1960).
4. P. D. Weidman and M. Johnson, J. Fluid Mech. 122, 195 (1982).
5. H. Ikezi, R. Taylor, and D. Baker, Phys. Rev. Lett. 25, 11 (1970);
6. H. Ikezi, P. J. Barret, R. B. White, and A. Y. Wang, Phys. Fluid. 14, 1997 (1971).
7. Y. S. Kivshar and B. A. Malomend, Rev. Mod. Phys. 61, 765 (1989).
8. M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, London Mathematical Society Lecture Note Series 149 (Cambridge University Press 1991).
9. H. Ikezi, K. Nishikawa, and K. Miwa, J. Phys. Soc. Jpn. 37, 766 (1974);
10. H. C. Kim, R. Stenzel, and A. Y. Wong, Phys. Rev. Lett. 33, 886 (1974);
11. A. Y. Wong and B. H. Quon, Phys. Rev. Lett. 34, 1499 (1975).
12. J. Wu, R. Keolian, and I. Rudnick, Phys. Rev. Lett. 52, 1421 (1984);
13. J. Wu, J. Wheathey, S. Putterman, and I. Rudnick, Phys. Rev. Lett. 59, 2744 (1987).
14. L. F. Mollenauer, R. H. Stolen, and J. P. Gordon, Phys. Rev. Lett. 45, 1095 (1980).
15. A. Matsuda and S. Uehara, Appl. Phys. Lett. 41, 770 (1982);
16. A. Matsuda and T. Kawakami, Phys. Rev. Lett. 51, 694 (1983);
17. M. Scheuermann, J. R. Lhota, P. K. Kuo, and J. T. Chen, Phys. Rev. Lett. 50, 74 (1983);
18. A. Davidson, B. Dueholm, B. Krygger, and N. F. Pedersen, Phys. Rev. Lett. 55, 2059 (1985).
19. B. B. Kadomtsev and V. I. Petviashvili, Sov. Phys. Dokl. 15, 539 (1970);
20. P. M. Santini, Lett. Nuovo. Cim. 30, 236 (1981).
21. B. Denardo, B. Galvin, A. Greenfield, A. Larraza, S. Putterman, and W. Wright, Phys. Rev. Lett. 68, 1730 (1992);
22. B. Denardo, Ph. D. Thesis, University of California, Los Angeles, 1990 (unpublished).
23. B. Denardo, A. Larraza, S. Putterman, and P. Roberts, Phys. Rev. Lett. 69, 597 (1992);
24. S. Putteman and P. H. Roberts, Proc. R. Soc. Lond. A440, 135 (1994).
25. W. Z. Chen, Phys. Rev. B49, 15063 (1994).
26. S.-Y. Lou, J. Yu, J. Lin, and Guoxiang Huang, Chinese Phys. Lett. 12, 400 (1995).
27. S.-Y. Lou and Guoxiang Huang, Mod. Phys. Lett. B9, 1231 (1995).
28. A. J. Sievers and S. Takeno, Phys. Rev. Lett. 61, 970 (1988);
29. A. J. Sievers, S. A. Kiselev, and S. R. Bickham, J. of Luminescence 58, 37 (1994);
30. V. M. Burlakov, S. A. Kiselev, and V. N. Pyrkov, Solid State Commun. 74, 327 (1990);
31. Phys. Rev. B42, 4921 (1990);
32. Yu. S. Kivshar and D. K. Cambell, Phys. Rev. E48, 3077 (1993);
33. X. Sun, C-q Wu and X-c Shen, Solid State Commun. 56, 1039 (1985);
34. Guoxiang Huang et al., Phys. Rev. B43, 11197 (1991);
35. Yu. S. Kivshar, Phys. Rev. A46, 7972 (1992);
36. Guoxiang Huang, Phys. Rev. E49, 5893 (1994).
37. A. Fermi, J. Pasta, and S. Ulam, Los Alamos Report LA1940, (1955);
38. Collected papers of Enrico Fermi (Univ. Chicago Press, Chicago, 1962) Vol. 2, p. 978.
39. J. Ford, Phys. Rep. 113, 123 (1992).
40. J. Lin, S.-Y. Lou, J. Yu, G.-X. Huang, and Y. Li, preprint.
41. R. J. Deissler and H. R. Brand, Phys. Rev. Lett. 478 (1994).
42. H. C. Yuen and W. E. Jr. Ferguson, Phys. Fluids 21, 2116 (1978).
43. M. Umeki and T. Kambe, J. Phys. Soc. Jpn. 58, 140 (1989);
44. M. Umeki, J. Phys. Soc. Jpn. 60, 146 (1991);
45. T. Kambe and M. Umeki, J. Fluid Mech. 212, 373 (1990).
46. P. Coullet and K. Emilsson, Physica D61, 119 (1992);
47. P. Coullet, J. Lega, and Y. Pomeau, Europhys. Lett. 15, 221 (1991).
48. A. Greenfield, S. Putterman, and W. Wright, Phys. Lett. A185, 321 (1994).
49. B. A. Malomed, Phys. Rev. A45, 409 (1992);
50. T. Kuusela, J. Hietarinta, and B. A. Melomed, J. Phys. Math. Gen. A26, L21 (1993).