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Volumn 103, Issue 2, 2000, Pages 229-244

Receptor-product coupling scheme for synchronization

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Indexed keywords


EID: 0034341062     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTP.103.229     Document Type: Article
Times cited : (11)

References (31)
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    • N. Nakagawa and K. Kuramoto, Prog. Theor. Phys. 89 (1993), 313; Physica D80 (1995), 307.
    • (1995) Physica , vol.D80 , pp. 307
  • 20
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    • R. A. Firtel, Genes & Development 9 (1995) 1427; Current Opinion in Genetics & Development 6 (1996), 545.
    • (1995) Genes & Development , vol.9 , pp. 1427
    • Firtel, R.A.1
  • 22
    • 85037767141 scopus 로고    scopus 로고
    • In this paper, a characteristic of a limit cycle oscillator is that all motions of the system tend toward a stable steady-state oscillation. The maximum (minimum) allowed production level is the maximum (minimum) value of this steady-state oscillation
    • In this paper, a characteristic of a limit cycle oscillator is that all motions of the system tend toward a stable steady-state oscillation. The maximum (minimum) allowed production level is the maximum (minimum) value of this steady-state oscillation.
  • 23
    • 85037755976 scopus 로고    scopus 로고
    • note
    • j in function G, a stable steady-state oscillation cannot be obtained.
  • 28
    • 85037777933 scopus 로고    scopus 로고
    • Note that the amplitudes of the stable steady-state oscillations of de-coupled van der Pol oscillators are nearly 2.0, and the natural frequency dependence is very weak
    • Note that the amplitudes of the stable steady-state oscillations of de-coupled van der Pol oscillators are nearly 2.0, and the natural frequency dependence is very weak.
  • 29
    • 85037752471 scopus 로고    scopus 로고
    • In the case of decoupled van der Pol oscillators, the maximum allowed production level is nearly 2.0 and the minimum allowed production level is nearly -2.0
    • In the case of decoupled van der Pol oscillators, the maximum allowed production level is nearly 2.0 and the minimum allowed production level is nearly -2.0.
  • 30
    • 85037762083 scopus 로고    scopus 로고
    • note
    • j.
  • 31
    • 0003475470 scopus 로고    scopus 로고
    • The current scheme has also been applied to predator-prey models with a limit cycle given by Eq. (3.18) (p. 72) and Eq. (6.20) (p. 156), and to the Brusselator reaction (p. 175), by J. D. Murray (Ref. 22)
    • The current scheme has also been applied to predator-prey models with a limit cycle given by Eq. (3.18) (p. 72) and Eq. (6.20) (p. 156), and to the Brusselator reaction (p. 175), in Mathematical Biology by J. D. Murray (Ref. 22)).
    • Mathematical Biology


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