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Prog. Theor. Phys. Vol. 59 No. 3 (1978) pp. 1033-1036

[ Full Text PDF : FREE ACCESS (263K) ]

Letters

The Iterative Transition Phenomenon between Periodic and Turbulent States in a Dissipative Dynamical System

Ippei Shimada and Tomomasa Nagashima*

Department of Physics, Faculty of Science, Hokkaido University, Sapporo 060
*Department of Precision Engineering, Faculty of Engineering, Hokkaido University, Sapporo 060

(Received December 5, 1977)


URL : http://ptp.ipap.jp/link?PTP/59/1033/
DOI : 10.1143/PTP.59.1033

[ Full Text PDF : FREE ACCESS (263K) ] Citation:

References:

  1. See, for example, O. E. Rössler, Z. Naturforsch. a 31 (1976), 1664.
  2. T. Nagashima and I. Shimada, Prog. Theor. Phys. 58 (1977), 1318[PTP].
  3. O. E. Rössler, Phys. Lett. A 60 (1977), 392[CrossRef].
  4. P. Burnovsky, Symposium on Differential Equation and Dynamical Systems (Warwick, 1968-69).
  5. R. M. May, J. Theor. Biol. 51 (1975), 511.
  6. S. Kabashima, H. Yamazaki and T. Kawakubo, J. Phys. Soc. Jpn. 40 (1976), 921[JPSJ].

Citing Article(s) :

  1. Journal of the Physical Society of Japan 69 (2000) pp. 295-298 :
    Torus Knot in a Dissipative Fifth-Order System
    Naoaki Bekki
  2. Journal of the Physical Society of Japan 69 (2000) pp. 2443-2454 :
    Devil's Staircase in a Dissipative Fifth-Order System
    Naoaki Bekki and Takao Karakisawa
  3. Progress of Theoretical Physics Vol. 61 No. 6 (1979) pp. 1605-1616 :
    A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
    Ippei Shimada and Tomomasa Nagashima
  4. Progress of Theoretical Physics Vol. 63 No. 1 (1980) pp. 91-105 :
    Dynamics of the Lorenz Model of Convective Instabilities. II
    Kyôzô Takeyama
  5. Progress of Theoretical Physics Vol. 63 No. 6 (1980) pp. 1931-1944 :
    Statistical Dynamics of Chaotic Flows
    Hazime Mori and Hirokazu Fujisaka
  6. Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 782-793 :
    Temporal Development of the Taylor Vortices in a Rotating Fluid. III
    Hideo Yahata
  7. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1584-1594 :
    On a Chaos as a Mode Interacting Phase
    Hideyuki Kidachi
  8. Progress of Theoretical Physics Vol. 68 No. 1 (1982) pp. 64-84 :
    Global Aspects of the Dissipative Dynamical Systems. I
    Yoji Aizawa
  9. Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 335-355 :
    Phase Description Method to Time Averages in the Lorenz System
    Shinji Koga
  10. Progress of Theoretical Physics Supplement No.64 (1978) pp. 346-367 :
    Diffusion-Induced Chaos in Reaction Systems
    Yoshiki Kuramoto
  11. Progress of Theoretical Physics Supplement No.64 (1978) pp. 368-377 :
    Attractors in the Non Morse-Smale Dissipative Dynamical Systems
    Tomomasa Nagashima

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