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Volumn 199, Issue , 2017, Pages 857-862

Numerical Investigation of the Hopf-Bogdanov-Takens Mode Interaction for a Fluid-conveying Tube

Author keywords

34C25; 34C37; 37G10; 37G15; 37G20; continuation method; Fluid conveying tube; Hopf bifurcation; Mode interaction; Shilnikov szenario 2000 MSC: 34C23; Takens Bogdanov bifurcation

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICS; FLOW OF FLUIDS; STRUCTURAL DYNAMICS;

EID: 85029903628     PISSN: None     EISSN: 18777058     Source Type: Conference Proceeding    
DOI: 10.1016/j.proeng.2017.09.024     Document Type: Conference Paper
Times cited : (5)

References (12)
  • 1
    • 0000941471 scopus 로고
    • Vibrations and stability of a pipe when liquid flows through it
    • V.P. Feodos'ev Vibrations and stability of a pipe when liquid flows through it Inzhenernyi Sbornik 10 1951 169 170
    • (1951) Inzhenernyi Sbornik , vol.10 , pp. 169-170
    • Feodos'Ev, V.P.1
  • 4
    • 0020183096 scopus 로고
    • Bifurcations in three-dimensional motions of articulated tubes; Part 1: Linear systems and symmetry; Part 2: Nonlinear analysis
    • A.K. Bajaj, and P.R. Sethna Bifurcations in three-dimensional motions of articulated tubes; part 1: Linear systems and symmetry; part 2: Nonlinear analysis Journal of Applied Mechanics 49 1982 606 618
    • (1982) Journal of Applied Mechanics , vol.49 , pp. 606-618
    • Bajaj, A.K.1    Sethna, P.R.2
  • 6
    • 0022061837 scopus 로고
    • Effect of a Spring Support on the Stability of Pipes Conveying Fluid
    • Y. Sugiyama, Y. Tanaka, T. Kishi, and H. Kawagoe Effect of a Spring Support on the Stability of Pipes Conveying Fluid J. Sound and Vibration 100 1985 257 270
    • (1985) J. Sound and Vibration , vol.100 , pp. 257-270
    • Sugiyama, Y.1    Tanaka, Y.2    Kishi, T.3    Kawagoe, H.4
  • 7
    • 0242280425 scopus 로고    scopus 로고
    • Hopf bifurcations near 0:1 resonance
    • Chen, Chow and Li (eds.)
    • W. F. Langford, K. Zhan, Hopf bifurcations near 0:1 resonance, BTNA'98 Proceedings, Chen, Chow and Li (eds.) (1999) 1-18.
    • (1999) BTNA'98 Proceedings , pp. 1-18
    • Langford, W.F.1    Zhan, K.2
  • 8
    • 8744230577 scopus 로고    scopus 로고
    • A matlab package for numerical bifurcation analysis of odes
    • G.W. D. A., and K.Y.A. Matcont: A matlab package for numerical bifurcation analysis of odes ACM TOMS 29 2003 141 164
    • (2003) ACM TOMS , vol.29 , pp. 141-164
    • Matcont, Y.A.K.1
  • 10
    • 0012879040 scopus 로고
    • BNDSCO, Rechenprogramm zur Lösung beschränkter optimaler Steuerungsprobleme
    • Techn. Univ. München
    • H. J. Oberle, W. Grimm, E. Berger, BNDSCO, Rechenprogramm zur Lösung beschränkter optimaler Steuerungsprobleme, Benutzeranleitung M 8509, Techn. Univ. München (1985).
    • (1985) Benutzeranleitung M 8509
    • Oberle, H.J.1    Grimm, W.2    Berger, E.3
  • 11
    • 0003335149 scopus 로고
    • A continuation algorithm with step control, in: Numerical methods for bifurcation problems
    • R. Seydel, A continuation algorithm with step control, in: Numerical methods for bifurcation problems. ISNM 70, Birkhäuser, 1984, pp. 480-494.
    • (1984) ISNM 70, Birkhäuser , pp. 480-494
    • Seydel, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.