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Volumn 73, Issue 3, 2006, Pages

q-breathers in Fermi-Pasta-Ulam chains: Existence, localization, and stability

Author keywords

[No Author keywords available]

Indexed keywords

ANHARMONIC ATOMIC CHAIN MODEL; FERMI-PASTA-ULAM (FPU) PROBLEM; PERIODIC ORBIT; Q -BREATHERS (QB);

EID: 33645228524     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.036618     Document Type: Article
Times cited : (89)

References (69)
  • 2
    • 0004211129 scopus 로고
    • edited by E. Segre (University of Chicago Press, Chicago
    • also in Collected Papers of Enrico Fermi, edited by, E. Segre, (University of Chicago Press, Chicago, 1965), Vol. II, p. 978;
    • (1965) Collected Papers of Enrico Fermi , vol.2 , pp. 978
  • 3
    • 0003585220 scopus 로고
    • edited by D. C. Mattis (World Scientific, Singapore
    • Many-Body Problems, edited by, D. C. Mattis, (World Scientific, Singapore, 1993).
    • (1993) Many-Body Problems
  • 4
    • 0347371015 scopus 로고
    • PRPLCM 0370-1573 10.1016/0370-1573(92)90116-H
    • J. Ford, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(92)90116-H 213, 271 (1992).
    • (1992) Phys. Rep. , vol.213 , pp. 271
    • Ford, J.1
  • 5
    • 17744366868 scopus 로고    scopus 로고
    • The Fermi-Pasta-Ulam Problem-The First Fifty Years
    • edited by D. K. Campbell, P. Rosenau, and G. M. Zaslavsky, CHAOEH 1054-1500
    • Focus issue, The Fermi-Pasta-Ulam Problem-The First Fifty Years, edited by, D. K. Campbell, P. Rosenau, and, G. M. Zaslavsky, Chaos CHAOEH 1054-1500 15, No. 1 (2005).
    • (2005) Chaos , vol.15 , Issue.1
  • 6
    • 17744366868 scopus 로고    scopus 로고
    • CHAOEH 1054-1500 10.1063/1.1855036
    • G. P. Berman and F. M. Izrailev, Chaos CHAOEH 1054-1500 10.1063/1. 1855036 15, 015104 (2005).
    • (2005) Chaos , vol.15 , pp. 015104
    • Berman, G.P.1    Izrailev, F.M.2
  • 7
    • 33846361348 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.15.240
    • N. J. Zabusky and M. D. Kruskal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.15.240 15, 240 (1965).
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 240
    • Zabusky, N.J.1    Kruskal, M.D.2
  • 9
    • 0003076093 scopus 로고
    • DANKAS 0002-3264
    • Dokl. Akad. Nauk SSSR DANKAS 0002-3264 166, 57 (1966)
    • (1966) Dokl. Akad. Nauk SSSR , vol.166 , pp. 57
  • 10
    • 0039619430 scopus 로고
    • SPHDA9 0038-5689
    • [Sov. Phys. Dokl. SPHDA9 0038-5689 11, 30 (1966)].
    • (1966) Sov. Phys. Dokl. , vol.11 , pp. 30
  • 12
    • 27144440687 scopus 로고
    • JNECAE 0368-3281 10.1088/0368-3281/1/4/311
    • B. V. Chirikov, [J. Nucl. Energy, Part C JNECAE 0368-3281 10.1088/0368-3281/1/4/311 1, 253 (1960)].
    • (1960) J. Nucl. Energy, Part C , vol.1 , pp. 253
    • Chirikov, B.V.1
  • 14
    • 0037618847 scopus 로고    scopus 로고
    • NONLE5 0951-7715 10.1088/0951-7715/10/5/017
    • D. L. Shepelyansky, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/10/5/017 10, 1331 (1997).
    • (1997) Nonlinearity , vol.10 , pp. 1331
    • Shepelyansky, D.L.1
  • 16
    • 3543011647 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.28.1173
    • L. Galgani and A. Scotti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.28.1173 28, 1173 (1972);
    • (1972) Phys. Rev. Lett. , vol.28 , pp. 1173
    • Galgani, L.1    Scotti, A.2
  • 17
    • 4243834449 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.50.1879
    • A. Patrascioiu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50.1879 50, 1879 (1983).
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1879
    • Patrascioiu, A.1
  • 18
    • 0013087334 scopus 로고
    • PDNPDT 0167-2789 10.1016/0167-2789(89)90014-6
    • H. Kantz, Physica D PDNPDT 0167-2789 10.1016/0167-2789(89)90014-6 39, 322 (1989);
    • (1989) Physica D , vol.39 , pp. 322
    • Kantz, H.1
  • 19
    • 0347583689 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF02188678
    • H. Kantz, R. Livi, and S. Ruffo, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02188678 76, 627 (1994).
    • (1994) J. Stat. Phys. , vol.76 , pp. 627
    • Kantz, H.1    Livi, R.2    Ruffo, S.3
  • 23
    • 27144503020 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.95.064102
    • S. Flach, M. V. Ivanchenko, and O. I. Kanakov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.064102 95, 064102 (2005).
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 064102
    • Flach, S.1    Ivanchenko, M.V.2    Kanakov, O.I.3
  • 24
  • 25
    • 0032016697 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/S0370-1573(97)00068-9
    • S. Flach and C. R. Willis, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00068-9 295, 181 (1998), and references therein.
    • (1998) Phys. Rep. , vol.295 , pp. 181
    • Flach, S.1    Willis, C.R.2
  • 27
    • 22244486688 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(96)00261-8
    • S. Aubry, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(96)00261-8 103, 201 (1997);
    • (1997) Physica D , vol.103 , pp. 201
    • Aubry, S.1
  • 28
    • 14944374048 scopus 로고    scopus 로고
    • edited by T. Dauxois, A. Litvak-Hinenzon, R. MacKay, and A. Spanoudaki (World Scientific, Singapore
    • Energy Localisation and Transfer, edited by, T. Dauxois, A. Litvak-Hinenzon, R. MacKay, and, A. Spanoudaki, (World Scientific, Singapore, 2004);
    • (2004) Energy Localisation and Transfer
  • 30
    • 17744363927 scopus 로고    scopus 로고
    • CHAOEH 1054-1500 10.1063/1.1839151
    • S. Flach and A. Gorbach, Chaos CHAOEH 1054-1500 10.1063/1.1839151 15, 015112 (2005).
    • (2005) Chaos , vol.15 , pp. 015112
    • Flach, S.1    Gorbach, A.2
  • 31
    • 0040859457 scopus 로고
    • NONLE5 0951-7715 10.1088/0951-7715/7/6/006
    • R. S. MacKay and S. Aubry, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/7/6/006 7, 1623 (1994).
    • (1994) Nonlinearity , vol.7 , pp. 1623
    • MacKay, R.S.1    Aubry, S.2
  • 32
    • 0001378866 scopus 로고    scopus 로고
    • NONLE5 0951-7715 10.1088/0951-7715/10/6/003
    • R. Livi, M. Spicci, and R. S. MacKay, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/10/6/003 10, 1421 (1997).
    • (1997) Nonlinearity , vol.10 , pp. 1421
    • Livi, R.1    Spicci, M.2    MacKay, R.S.3
  • 35
    • 0009811485 scopus 로고    scopus 로고
    • CASMEI 0764-4442 10.1016/S0764-4442(01)01894-8
    • G. James, C. R. Acad. Sci., Ser. I: Math. CASMEI 0764-4442 10.1016/S0764-4442(01)01894-8 332, 581 (2001).
    • (2001) C. R. Acad. Sci., Ser. I: Math. , vol.332 , pp. 581
    • James, G.1
  • 36
    • 0000505165 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.50.3134
    • S. Flach, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.3134 50, 3134 (1994);
    • (1994) Phys. Rev. e , vol.50 , pp. 3134
    • Flach, S.1
  • 37
    • 0000274081 scopus 로고    scopus 로고
    • NONLE5 0951-7715 10.1088/0951-7715/9/6/007
    • J. L. Marin and S. Aubry, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/9/6/007 9, 1501 (1996);
    • (1996) Nonlinearity , vol.9 , pp. 1501
    • Marin, J.L.1    Aubry, S.2
  • 39
    • 17744383448 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.94.045503
    • P. Rosenau and S. Schochet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.045503 94, 045503 (2005).
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 045503
    • Rosenau, P.1    Schochet, S.2
  • 40
    • 5244271916 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.58.R4116
    • S. Flach, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.R4116 58, R4116 (1998).
    • (1998) Phys. Rev. e , vol.58 , pp. 4116
    • Flach, S.1
  • 44
    • 84953751498 scopus 로고
    • Cambridge University Press, Cambridge, England
    • A. Zygmund, Trigonometric Series (Cambridge University Press, Cambridge, England, 1968).
    • (1968) Trigonometric Series
    • Zygmund, A.1
  • 45
    • 1042301145 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/j.physleta.2003.11.052
    • L. Berchialla, A. Giorgilli, and S. Paleari, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2003.11.052 321, 167 (2004).
    • (2004) Phys. Lett. A , vol.321 , pp. 167
    • Berchialla, L.1    Giorgilli, A.2    Paleari, S.3
  • 47
    • 0037437722 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(02)00694-2
    • B. Rink, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(02)00694-2 175, 31 (2003), and references therein.
    • (2003) Physica D , vol.175 , pp. 31
    • Rink, B.1
  • 48
    • 0007716335 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.51.2877
    • J. DeLuca, A. J. Lichtenberg, and S. Ruffo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.2877 51, 2877 (1995).
    • (1995) Phys. Rev. e , vol.51 , pp. 2877
    • Deluca, J.1    Lichtenberg, A.J.2    Ruffo, S.3
  • 49
    • 4243519564 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.37.69
    • C. F. Driscoll and T. M. O'Neil, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.37.69 37, 69 (1976).
    • (1976) Phys. Rev. Lett. , vol.37 , pp. 69
    • Driscoll, C.F.1    O'Neil, T.M.2
  • 50
    • 0000535935 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.60.3781
    • J. DeLuca, A. J. Lichtenberg, and S. Ruffo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.3781 60, 3781 (1999).
    • (1999) Phys. Rev. e , vol.60 , pp. 3781
    • Deluca, J.1    Lichtenberg, A.J.2    Ruffo, S.3
  • 52
    • 0000327215 scopus 로고    scopus 로고
    • NONLE5 0951-7715 10.1088/0951-7715/10/3/003
    • I. Daumont, T. Dauxois, and M. Peyrard, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/10/3/003 10, 617 (1997);
    • (1997) Nonlinearity , vol.10 , pp. 617
    • Daumont, I.1    Dauxois, T.2    Peyrard, M.3
  • 53
    • 22244465246 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(98)00079-7
    • M. Peyrard, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00079-7 119, 184 (1998);
    • (1998) Physica D , vol.119 , pp. 184
    • Peyrard, M.1
  • 54
    • 0001245348 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(98)00107-9
    • T. Cretegny, T. Dauxois, S. Ruffo, and A. Torcini, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00107-9 121, 109 (1998);
    • (1998) Physica D , vol.121 , pp. 109
    • Cretegny, T.1    Dauxois, T.2    Ruffo, S.3    Torcini, A.4
  • 56
    • 39249085701 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.87.054102
    • B. Rumpf and A. C. Newell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.054102 87, 054102 (2001);
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 054102
    • Rumpf, B.1    Newell, A.C.2
  • 57
    • 0141754164 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(03)00220-3
    • B. Rumpf and A. C. Newell, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(03)00220-3 184, 162 (2003);
    • (2003) Physica D , vol.184 , pp. 162
    • Rumpf, B.1    Newell, A.C.2
  • 58
    • 0000784305 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.77.5225
    • G. P. Tsironis and S. Aubry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.5225 77, 5225 (1996);
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 5225
    • Tsironis, G.P.1    Aubry, S.2
  • 60
    • 0035679830 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.64.066608
    • R. Reigada, A. Sarmiento, and K. Lindenberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.066608 64, 066608 (2001);
    • (2001) Phys. Rev. e , vol.64 , pp. 066608
    • Reigada, R.1    Sarmiento, A.2    Lindenberg, K.3
  • 61
    • 0000410496 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.49.5018
    • S. Flach and G. Mutschke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.5018 49, 5018 (1994);
    • (1994) Phys. Rev. e , vol.49 , pp. 5018
    • Flach, S.1    Mutschke, G.2
  • 62
    • 0242495046 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(03)00243-4
    • M. Eleftheriou, S. Flach, and G. P. Tsironis, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(03)00243-4 186, 20 (2003);
    • (2003) Physica D , vol.186 , pp. 20
    • Eleftheriou, M.1    Flach, S.2    Tsironis, G.P.3
  • 64
    • 14944385365 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/j.physd.2005.02.002
    • M. Eleftheriou and S. Flach, Physica D PDNPDT 0167-2789 10.1016/j.physd.2005.02.002 202, 142 (2005).
    • (2005) Physica D , vol.202 , pp. 142
    • Eleftheriou, M.1    Flach, S.2
  • 65
    • 48749142942 scopus 로고
    • PDNPDT 0167-2789 10.1016/0167-2789(95)00177-6
    • N. Budinsky and T. Bountis, Physica D PDNPDT 0167-2789 10.1016/0167-2789(95)00177-6 8, 445 (1983);
    • (1983) Physica D , vol.8 , pp. 445
    • Budinsky, N.1    Bountis, T.2
  • 66
    • 0000878131 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.71.2058
    • Y. A. Kosevich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.2058 71, 2058 (1993);
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 2058
    • Kosevich, Y.A.1
  • 67
    • 0001306661 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/0167-2789(95)00267-7
    • S. Flach, Physica D PDNPDT 0167-2789 10.1016/0167-2789(95)00267-7 91, 223 (1996);
    • (1996) Physica D , vol.91 , pp. 223
    • Flach, S.1
  • 68
    • 0000325150 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(96)00262-X
    • P. Poggi and S. Ruffo, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(96)00262-X 103, 251 (1997).
    • (1997) Physica D , vol.103 , pp. 251
    • Poggi, P.1    Ruffo, S.2


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