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Volumn 54, Issue 2, 1996, Pages 1237-1252

Period doublings in coupled parametrically forced damped pendulums

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000928097     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.1237     Document Type: Article
Times cited : (7)

References (36)
  • 7
  • 8
    • 85035233304 scopus 로고    scopus 로고
    • V.I. Arnold, (Springer-Verlag, New York, 1978), p. 113;, (MIT Press, Cambridge, 1973), p. 203
    • V.I. Arnold, Mathematical Methods of Classical Mechanics (Springer-Verlag, New York, 1978), p. 113; Ordinary Differential Equations (MIT Press, Cambridge, 1973), p. 203.
  • 23
    • 85035236496 scopus 로고    scopus 로고
    • in, edited by H. Lee (Pohang Institute of Science and Technology, Pohang, Korea, 1993), 49–90
    • in the Proceeding of the First International Workshop on Nonlinear Dynamics and Chaos, edited by H. Lee (Pohang Institute of Science and Technology, Pohang, Korea, 1993), pp. 49–90.
  • 24
    • 5544307346 scopus 로고
    • F.H. Ling, G. Schmidt, and H. Kook attempted to study the critical behaviors of PDB's in coupled oscillators. However, only the critical behaviors near the zero-coupling critical point were considered, because the existence of an infinity of additional critical line segments in the coupled 1D maps was not known at that time. Moreover, without giving any explicit numerical values of the scaling factors, they insisted that the critical behaviors for the zero-coupling case are the same as those of the coupled 1D maps, based on the stability diagram of orbits with only low period 2 and 4 (e.g., see Fig. 1 in their paper)
    • F.H. Ling, G. Schmidt, and H. Kook [Int. J. Bifurc. Chaos1, 363 (1991)] attempted to study the critical behaviors of PDB's in coupled oscillators. However, only the critical behaviors near the zero-coupling critical point were considered, because the existence of an infinity of additional critical line segments in the coupled 1D maps was not known at that time. Moreover, without giving any explicit numerical values of the scaling factors, they insisted that the critical behaviors for the zero-coupling case are the same as those of the coupled 1D maps, based on the stability diagram of orbits with only low period 2 and 4 (e.g., see Fig. 1 in their paper).
    • (1991) Int. J. Bifurc. Chaos , vol.1 , pp. 363


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.