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Volumn 65, Issue 4, 2002, Pages

Diffusion in a periodically driven damped and undamped pendulum

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DAMPING; EQUATIONS OF MOTION; FREQUENCIES; HAMILTONIANS; OSCILLATORS (MECHANICAL); PENDULUMS; VIBRATIONS (MECHANICAL);

EID: 37649028644     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.046214     Document Type: Article
Times cited : (15)

References (32)
  • 3
    • 0003875971 scopus 로고    scopus 로고
    • Anomalous diffusion from basics to applications
    • Springer, New York
    • Anomalous Diffusion From Basics to Applications, edited by A. Pekalski and K. Sznajd-Weron, Lecture Notes in Physics Vol. 519 (Springer, New York, 1998).
    • (1998) Lecture Notes in Physics , vol.519
    • Pekalski, A.1    Sznajd-Weron, K.2
  • 4
    • 33646987956 scopus 로고    scopus 로고
    • D.H. Zanette, e-print cond-mat/9905064
    • D.H. Zanette, e-print cond-mat/9905064.
  • 26
    • 33646982515 scopus 로고    scopus 로고
    • note
    • The numerical scheme was also tested against the analytical solution wherever possible. For ω = 0, γ = 0, the absolute error was less than 8.0E-6 over 1000 drive cycles when a drive cycle was divided into 100 time steps. For γ= 0 and ω = 0.1, the absolute error was less than 0.013 for 5000 time steps per drive cycle and less than 0.15 for 100 time steps per drive cycle. The error is found to be maximum near the zeros of the solution and least near their extrema. In all cases, the numerically evaluated solution "shadows" the analytical solution.
  • 28
    • 33646974040 scopus 로고    scopus 로고
    • note
    • The mean time between switching being quite large for the crisis induced intermittency, close to the bifurcation point longer orbit lengths are required to find normal diffusion. The small difference in the bifurcation point between what we have reported and that of Ref. [27] may be because of the same reason. This will result in a small change in the exponent.
  • 32
    • 0034156561 scopus 로고    scopus 로고
    • H.L.D. De, S. Cavalcante, and J.R. Rios Leite, Dyn. Stab. Syst. 15, 35 (2000); Physica A 283, 125 (2000).
    • (2000) Physica A , vol.283 , pp. 125


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.