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Prog. Theor. Phys. Vol. 52 No. 4 (1974) pp. 1399-1401

[ Full Text PDF : FREE ACCESS (211K) ]

Letters

Reductive Perturbation Approach to Chemical Instabilities

Yoshiki Kuramoto and Toshio Tsuzuki

Department of Physics, Faculty of Science, Kyushu University, Fukuoka 812

(Received July 5, 1974)


URL : http://ptp.ipap.jp/link?PTP/52/1399/
DOI : 10.1143/PTP.52.1399

[ Full Text PDF : FREE ACCESS (211K) ] Citation:

References:

  1. L. A. Segel, J. Fluid Mech. 14 (1962), 97[CrossRef]; ibid. 21 (1965), 359[CrossRef].
  2. A. C. Newell and J. A. Whitehead, J. Fluid Mech. 38 (1969), 279[CrossRef].
  3. T. Taniuti and C. C. Wei, J. Phys. Soc. Jpn. 24 (1968), 941[JPSJ].
  4. P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability, and Fluctuations (Interscience, New York, 1971), Part III.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 54 No. 1 (1975) pp. 60-71 :
    Asymptotic Evaluation of Fluctuation of Macrovariables near Instability Points
    Yoshiki Kuramoto and Toshio Tsuzuki
  2. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 585-587 :
    Reductive Perturbation Approach to the Fluctuation
    Akira Itō, Takao Ohta and Hiroyuki Mashiyama
  3. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 592-593 :
    Reductive Perturbation Approach to Electrohydrodynamic Instabilities and Dissipative Structures in Liquid Crystals
    Naganori Hijikuro
  4. Progress of Theoretical Physics Vol. 54 No. 3 (1975) pp. 687-699 :
    On the Formation of Dissipative Structures in Reaction-Diffusion Systems
    Yoshiki Kuramoto and Toshio Tsuzuki
  5. Progress of Theoretical Physics Vol. 54 No. 4 (1975) pp. 1050-1066 :
    Fluctuations and Phase Transitions Far from Equilibrium
    Hiroyuki Mashiyama, Akira Itō and Takao Ohta
  6. Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 48-66 :
    Stochastic Approach to Undamped Spiking of Lasers
    Toshihide Takagahara
  7. Progress of Theoretical Physics Vol. 55 No. 2 (1976) pp. 356-369 :
    Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium
    Yoshiki Kuramoto and Toshio Tsuzuki
  8. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 770-784 :
    Critical Dimensionality for Normal Fluctuations of Macrovariables in Nonequilibrium States
    Hazime Mori and Kenneth J. McNeil
  9. Progress of Theoretical Physics Vol. 57 No. 4 (1977) pp. 1159-1177 :
    Entrainment of a Limit Cycle by a Periodic External Excitation
    Kazuhisa Tomita, Tohru Kai and Fuminori Hikami
  10. Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 45-53 :
    Perturbation Theory of Self-Oscillating System with a Periodic Perturbation
    Akira Itō
  11. Progress of Theoretical Physics Vol. 61 No. 3 (1979) pp. 825-841 :
    Thermal Fluctuation of a Self-Oscillating Reaction System Entrained by a Periodic External Force
    Hiroaki Daido and Kazuhisa Tomita
  12. Progress of Theoretical Physics Vol. 62 No. 6 (1979) pp. 1519-1532 :
    Thermal Fluctuation of a Self-Oscillating Reaction System under a Periodic External Force. II
    Hiroaki Daido and Kazuhisa Tomita
  13. Progress of Theoretical Physics Vol. 66 No. 1 (1981) pp. 143-153 :
    A Reductive Perturbation Approach to Hard-Mode Instabilities of Inverted-Type Bifurcations
    Kaoru Yamafuji, Kiyoshi Toko, Junsaku Nitta and Kiichi Urahama
  14. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1494-1497 :
    Fluctuations in the Complex Stochastic TDGL Equation
    Kunihiko Kaneko
  15. Progress of Theoretical Physics Vol. 85 No. 3 (1991) pp. 417-421 :
    Instability of the Hole Solution in the Complex Ginzburg-Landau Equation
    Hidetsugu Sakaguchi
  16. Progress of Theoretical Physics Vol. 89 No. 6 (1993) pp. 1123-1146 :
    Phase Dynamics and Localized Solutions to the Ginzburg-Landau Type Amplitude Equations
    Hidetsugu Sakaguchi
  17. Progress of Theoretical Physics Vol. 93 No. 3 (1995) pp. 491-502 :
    Phase Dynamics of the Coupled Complex Ginzburg-Landau Equations
    Hidetsugu Sakaguchi
  18. Progress of Theoretical Physics Supplement No.64 (1978) pp. 346-367 :
    Diffusion-Induced Chaos in Reaction Systems
    Yoshiki Kuramoto

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