메뉴 건너뛰기




Volumn 76, Issue 4-5, 2008, Pages 453-459

Periodic orbits, localization in normal mode space, and the Fermi-Pasta-Ulam problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 41849126019     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.2820396     Document Type: Article
Times cited : (21)

References (21)
  • 2
    • 0942279089 scopus 로고    scopus 로고
    • Localizing energy through nonlinearity and discreteness
    • D. K. Campbell, S. Flach, and Yu. S. Kivshar, "Localizing energy through nonlinearity and discreteness," Phys. Today 57(1), 43-49 (2004).
    • (2004) Phys. Today , vol.57 , Issue.1 , pp. 43-49
    • Campbell, D.K.1    Flach, S.2    Kivshar, Y.S.3
  • 3
    • 0032016697 scopus 로고    scopus 로고
    • Discrete breathers
    • S. Flach and C. R. Willis, "Discrete breathers," Phys. Rep. 295, 182-264 (1998).
    • (1998) Phys. Rep , vol.295 , pp. 182-264
    • Flach, S.1    Willis, C.R.2
  • 4
    • 17744363927 scopus 로고    scopus 로고
    • Discrete breathers in Fermi-Pasta-Ulam lattices
    • Chaos 15, 015112-1-10
    • S. Flach and A. Gorbach, "Discrete breathers in Fermi-Pasta-Ulam lattices," Chaos 15, 015112-1-10 (2005).
    • (2005)
    • Flach, S.1    Gorbach, A.2
  • 5
    • 41849084384 scopus 로고    scopus 로고
    • E. Fermi, J. Pasta, and S. Ulam, Los Alamos Report LA-1940 (1955), Also published in Collected Papers of Enrico Fermi, edited by E. Segré (University of Chicago Press, Chicago, 1965).
    • E. Fermi, J. Pasta, and S. Ulam, Los Alamos Report LA-1940 (1955), Also published in Collected Papers of Enrico Fermi, edited by E. Segré (University of Chicago Press, Chicago, 1965).
  • 6
    • 0037618847 scopus 로고    scopus 로고
    • Low-energy chaos in the Fermi-Pasta-Ulam problem
    • D. L. Shepelyansky, "Low-energy chaos in the Fermi-Pasta-Ulam problem," Nonlinearity 10, 1331-1338 (1997).
    • (1997) Nonlinearity , vol.10 , pp. 1331-1338
    • Shepelyansky, D.L.1
  • 7
    • 1042301145 scopus 로고    scopus 로고
    • Exponentially long times to equipartition in the thermodynamic limit
    • L. Berchialla, A. Giorgilli, and S. Paleari, "Exponentially long times to equipartition in the thermodynamic limit," Phys. Lett. A 321, 167-172 (2004).
    • (2004) Phys. Lett. A , vol.321 , pp. 167-172
    • Berchialla, L.1    Giorgilli, A.2    Paleari, S.3
  • 8
    • 3543011647 scopus 로고
    • Planck-like distributions in classical nonlinear mechanics
    • L. Galgani and A. Scotti, "Planck-like distributions in classical nonlinear mechanics," Phys. Rev. Lett. 72, 1173-1176 (1972).
    • (1972) Phys. Rev. Lett , vol.72 , pp. 1173-1176
    • Galgani, L.1    Scotti, A.2
  • 9
    • 33846361348 scopus 로고
    • Interaction of solitons in a collisionless plasma and recurrence of initial states
    • N. J. Zabusky and M. D. Kruskal, "Interaction of solitons in a collisionless plasma and recurrence of initial states," Phys. Rev. Lett. 15, 240-243 (1965).
    • (1965) Phys. Rev. Lett , vol.15 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2
  • 10
    • 0002980692 scopus 로고
    • Statistical properties of a non-linear chain
    • F. M. Izrailev and B. V. Chirikov, "Statistical properties of a non-linear chain," Sov. Phys. Dokl. 11, 30 (1966).
    • (1966) Sov. Phys. Dokl , vol.11 , pp. 30
    • Izrailev, F.M.1    Chirikov, B.V.2
  • 11
    • 0347371015 scopus 로고
    • The Fermi-Pasta-Ulam problem: Paradox turns discovery
    • J. Ford, "The Fermi-Pasta-Ulam problem: Paradox turns discovery," Phys. Rep. 213, 271-310 (1992).
    • (1992) Phys. Rep , vol.213 , pp. 271-310
    • Ford, J.1
  • 12
    • 34547273471 scopus 로고    scopus 로고
    • Tail resonances of FPU q-breathers and their impact on the pathway to equipartition
    • Chaos 17, 023102-1-16
    • T. Penati and S. Flach, "Tail resonances of FPU q-breathers and their impact on the pathway to equipartition," Chaos 17, 023102-1-16 (2007).
    • (2007)
    • Penati, T.1    Flach, S.2
  • 13
    • 33645228524 scopus 로고    scopus 로고
    • q-breathers in Fermi-Pasta-Ulam chains: Existence, localization and stability
    • Phys. Rev. E, 036618-1-14
    • S. Flach, M. V. Ivanchenko, and O. I. Kanakov, "q-breathers in Fermi-Pasta-Ulam chains: Existence, localization and stability," Phys. Rev. E 73, 036618-1-14 (2006).
    • (2006) , vol.73
    • Flach, S.1    Ivanchenko, M.V.2    Kanakov, O.I.3
  • 14
    • 27144503020 scopus 로고    scopus 로고
    • q-breathers and the Fermi-Pasta-Ulam problem
    • Phys. Rev. Lett, 064102-1-4
    • S. Flach, M. V. Ivanchenko, and O. I. Kanakov, "q-breathers and the Fermi-Pasta-Ulam problem," Phys. Rev. Lett. 95, 064102-1-4 (2005).
    • (2005) , vol.95
    • Flach, S.1    Ivanchenko, M.V.2    Kanakov, O.I.3
  • 15
    • 0001034864 scopus 로고
    • Trigonometric diophantine equations (on vanishing sums of roots of unity)
    • J. H. Conway and A. J. Jones, "Trigonometric diophantine equations (on vanishing sums of roots of unity)," Acta Arith. XXX, 229-240 (1976).
    • (1976) Acta Arith , vol.30 , pp. 229-240
    • Conway, J.H.1    Jones, A.J.2
  • 17
    • 13244274888 scopus 로고    scopus 로고
    • Computational studies of discrete breathers
    • edited by T. Dauxois, A. Litvak-Hinenzon, R. S. MacKay, and A. Spanoudaki World Scientific, Singapore
    • S. Flach, "Computational studies of discrete breathers," in Energy Localization and Transfer, edited by T. Dauxois, A. Litvak-Hinenzon, R. S. MacKay, and A. Spanoudaki (World Scientific, Singapore, 2004), pp. 1-71.
    • (2004) Energy Localization and Transfer , pp. 1-71
    • Flach, S.1
  • 18
    • 0342792866 scopus 로고
    • Time scale to ergodicity in the Fermi-Pasta-Ulam problem
    • J. De Luca, A. J. Lichtenberg, and M. A. Lieberman, "Time scale to ergodicity in the Fermi-Pasta-Ulam problem," Chaos 5, 283-297 (1995).
    • (1995) Chaos , vol.5 , pp. 283-297
    • De Luca, J.1    Lichtenberg, A.J.2    Lieberman, M.A.3
  • 20
    • 33749081130 scopus 로고    scopus 로고
    • q-breathers in finite two- and three-dimensional nonlinear acoustic lattices
    • Phys. Rev. Lett, 025505-1-4
    • M. V. Ivanchenko, O. I. Kanakov, K. G. Mishagin, and S. Flach, "q-breathers in finite two- and three-dimensional nonlinear acoustic lattices," Phys. Rev. Lett. 97, 025505-1-4 (2006).
    • (2006) , vol.97
    • Ivanchenko, M.V.1    Kanakov, O.I.2    Mishagin, K.G.3    Flach, S.4
  • 21
    • 34247395865 scopus 로고    scopus 로고
    • Scaling properties of q-breathers in nonlinear acoustic lattices
    • O. I. Kanakov, S. Flach, M. V. Ivanchenko, and K. G. Mishagin, "Scaling properties of q-breathers in nonlinear acoustic lattices," Phys. Lett. A 365, 416-420 (2007).
    • (2007) Phys. Lett. A , vol.365 , pp. 416-420
    • Kanakov, O.I.1    Flach, S.2    Ivanchenko, M.V.3    Mishagin, K.G.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.