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Prog. Theor. Phys. Vol. 61 No. 1 (1979) pp. 54-73

[ Full Text PDF : FREE ACCESS (1349K) ]

Stroboscopic Phase Portrait of a Forced Nonlinear Oscillator

Tohru Kai and Kazuhisa Tomita*

Department of Physics, Osaka City University, Osaka 558
*Department of Physics, University of Kyoto, Kyoto 606

(Received August 25, 1978)

Abstract:

The computer simulation on the behaviour of a forced nonlinear oscillator is extended to cases of nonfundamental bands of entrainment and of strong excitation. As a result an extensive phase diagram is obtained including the regions of harmonic cascade of bifurcations and of chaotic decolation, in addition to those of various bands for entrainment and the quasi-periodic oscillation. The transition between different regions in the phase diagram, in particular that between quasi-periodic motion and subharmonic entrainment, has been investigated quantitatively by the method of Fourier analysis. Three kinds of transition have been found.


URL : http://ptp.ipap.jp/link?PTP/61/54/
DOI : 10.1143/PTP.61.54

[ Full Text PDF : FREE ACCESS (1349K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 45-53 :
    Perturbation Theory of Self-Oscillating System with a Periodic Perturbation
    Akira Itō
  2. Progress of Theoretical Physics Vol. 61 No. 3 (1979) pp. 815-824 :
    Successive Subharmonic Bifurcations and Chaos in a Nonlinear Mathieu Equation
    Akira Itō
  3. 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
  4. Progress of Theoretical Physics Vol. 62 No. 3 (1979) pp. 620-628 :
    A Perturbation Theory of a Quasi-Periodic Motion
    Akira Itō
  5. 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
  6. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1532-1550 :
    Statistical Mechanics of Deterministic Chaos
    Tohru Kai and Kazuhisa Tomita
  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. 66 No. 2 (1981) pp. 385-405 :
    Control and Dissipation in Oscillatory Chemical Engines
    Peter H. Richter, Paul Rehmus and John Ross
  9. Progress of Theoretical Physics Vol. 70 No. 3 (1983) pp. 879-882 :
    Resonance and Intermittent Transition from Torus to Chaos in Periodically Forced Systems near Intermittency Threshold
    Hiroaki Daido
  10. Progress of Theoretical Physics Supplement No.64 (1978) pp. 280-294 :
    Chaotic Behaviour of Deterministic Orbits: The Problem of Turbulent Phase
    Kazuhisa Tomita and Tohru Kai

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