HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 77 (1987) > Number 6
| Next Article >

Prog. Theor. Phys. Vol. 77 No. 6 (1987) pp. 1344-1354

[ Full Text PDF : FREE ACCESS (533K) ]

Breakdown of Chaos Symmetry and Intermittency in Band-Splitting Phenomena

Hiroshi Uchimura, Hirokazu Fujisaka and Masaoshi Inoue

Department of Physics, Kagoshima University, Kagoshima 890

(Received January 26, 1987)

Abstract:

A band-splitting phenomenon is studied from the viewpoint of the breakdown of the chaos symmetry and the development of the intermittency. The analyses are carried out for two kinds of coarse-grained variables relevant to the symmetry argument and the burst dynamics, mainly by utilizing similarity exponents introduced for analyzing one-dimensional time series. The development of the intermittency near the band-splitting point is shown to be characterize as the scaling laws for the similarity exponents.


URL : http://ptp.ipap.jp/link?PTP/77/1344/
DOI : 10.1143/PTP.77.1344

[ Full Text PDF : FREE ACCESS (533K) ] Citation:

References:

  1. See, e.g.,
    S. Grossmann and S. Thomae, Z. Naturforsch. 32a (1977), 1353.
    P. Collet and J. P. Eckmann, Iterated Maps on the Interval as Dynamical Systems (Birkhäuser, Boston, 1980).
  2. S. J. Shenker and L. P. Kadanoff, J. of Phys. A14 (1981), L23.
  3. A. Wolf and J. Swift, Phys. Lett. 83A (1981), 184.
  4. S. Thomae and S. Grossmann, J. Stat. Phys. 26 (1981), 485.
  5. T. Yoshida and K. Tomita, Prog. Theor. Phys. 76 (1986), 752, [PTP]and references cited therein.
  6. Y. Aizawa and T. Uezu, Prog. Theor. Phys. 68 (1982), 1864[PTP].
  7. H. Fujisaka, H.Kamifukumoto and M. Inoue, Prog. Theor. Phys. 69 (1983), 333[PTP].
  8. K. Aoki, O. Ikezawa and K. Yamamoto, Phys. Lett. 106A (1984), 343.
  9. H. Ishii, H. Fujisaka and M. Inoue, Phys. Lett. 116A (1986), 257.
  10. On studies about the double-well potential system, see references cited in Ref. 9).
  11. H. Fujisaka, Prog. Theor. Phys. 71 (1984), 513[PTP].
    H. Fujisaka and M. Inoue and H. H, Uchimura, Prog. Theor. Phys. (74) (1985), 20.
  12. H. Fujisaka, M. Inoue and H. Uchimura, Prog. Theor. Phys. 72 (1984), 23[PTP].
    M. Inoue and H. Fujisaka, Phys. Rev. B32 (1985), 277[APS].
    M. Inoue, T. Kawaguchi and H.Fujisaka, Phys. Lett. 115A (1986), 139.
  13. H. Fujisaka and T. Yamada, Z. Naturforsch. 33a (1978), 1455.
  14. H. Fujisaka and M. Inoue, Prog. Theor. Phys, 77 (1987), 1334[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 77 No. 6 (1987) pp. 1334-1343 :
    Statistical-Thermodynamics Formalism of Self-Similarity
    Hirokazu Fujisaka and Masayoshi Inoue
  2. Progress of Theoretical Physics Vol. 78 No. 2 (1987) pp. 268-281 :
    Theory of Diffusion and Intermittency in Chaotic Systems. III
    Hirokazu Fujisaka and Masayoshi Inoue
  3. Progress of Theoretical Physics Vol. 80 No. 5 (1988) pp. 809-826 :
    Characterization of Local Structures of Chaotic Attractors in Terms of Coarse-Grained Local Expansion Rates
    Hiroki Hata, Takehiko Horita, Hazime Mori, Terumitsu Morita and Koji Tomita
  4. Progress of Theoretical Physics Vol. 81 No. 6 (1989) pp. 1146-1157 :
    Dynamic Scaling Law of Order- q Time Correlation Function
    Hirokazu Fujisaka, Akira Yamaguchi and Masayoshi Inoue
  5. Progress of Theoretical Physics Supplement No.99 (1989) pp. 82-94 :
    “Thermodynamics”, Temporal Correlations and Scaling Laws
    Hirokazu Fujisaka and Masayoshi Inoue

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.