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Volumn 49, Issue 5, 1994, Pages 3626-3635

Brownian parametric oscillators

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EID: 0001468048     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.49.3626     Document Type: Article
Times cited : (54)

References (24)
  • 10
    • 84926904333 scopus 로고    scopus 로고
    • N. W. McLachlan, Theory and Application of Mathieu Functions (Dover, New York, 1964); A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations (Wiley, New York, 1979); W. Magnus and S. Winkler, Hill's Equation (Dover, New York, 1979).
  • 20
    • 84926942668 scopus 로고    scopus 로고
    • see Sec. 1.3.E2 and Sec. 2.2.E2 therein.
  • 21
    • 84926904330 scopus 로고    scopus 로고
    • See Eq. (2.2.1b) in [12].
  • 22
    • 84926942667 scopus 로고    scopus 로고
    • H. Risken, The Fokker-Planck Equation, Springer Series in Synergetics Vol. 18 (Springer-Verlag, Berlin, 1984).
  • 23
    • 84926942666 scopus 로고    scopus 로고
    • For a dissipative oscillator with additive driving, the asymptotic mean values become periodic functions of time. The phase-averaged second mean {langle x2(t) rangle} bar depends on the driving amplitude epsilon. Thus σ̃ ieqxxas {langle x2(t; φ ) rangle} bar - ({langle x (t; φ ) rangle} bar)2= {langle x2(t; φ ) rangle} bar, whereas σ barxxas= {langle x2(t; φ ) rangle} bar - {langle x (t; φ ) > bar2} =D/ ω02 becomes independent of external driving epsilon, and equals the unperturbed equilibrium value, cf. [5] and/or Eqs. (4.49) in [11].


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.