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Volumn 7, Issue 1, 1996, Pages 77-90

Chaos in a pendulum with forced horizontal support motion: A tutorial

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Indexed keywords


EID: 0001780844     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/0960-0779(95)00018-6     Document Type: Article
Times cited : (28)

References (25)
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  • 3
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    • Subharmonic and homoclinic bifurcations in a parametrically forced pendulum
    • B. P. Koch and R. W. Leven, Subharmonic and homoclinic bifurcations in a parametrically forced pendulum, Physica D 16, 1-13 (1985).
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    • Deterministic chaos in the elastic pendulum: A simple laboratory for nonlinear dynamics
    • R. Cuerno, A. F. Rañada and J. J. Ruiz-Lorenzo, Deterministic chaos in the elastic pendulum: a simple laboratory for nonlinear dynamics, Am. J. Phys. 60, 73-79 (1992).
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    • Cuerno, R.1    Rañada, A.F.2    Ruiz-Lorenzo, J.J.3
  • 14
    • 0010566092 scopus 로고
    • Tutorial on continuation
    • R. Seydel, Tutorial on continuation, Int. J. Bif. Chaos 1, 3-11 (1991).
    • (1991) Int. J. Bif. Chaos , vol.1 , pp. 3-11
    • Seydel, R.1
  • 15
    • 38249023491 scopus 로고
    • Period doubling solutions in the Duffing oscillator: A Galerkin approach
    • R. Van Dooren and H. Janssen, Period doubling solutions in the Duffing oscillator: a Galerkin approach, J. Comput. Phys. 82, 161-171 (1989).
    • (1989) J. Comput. Phys. , vol.82 , pp. 161-171
    • Van Dooren, R.1    Janssen, H.2
  • 16
    • 38249003996 scopus 로고
    • Numerical evidence of Feigenbaum's number δ in non-linear oscillations
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    • Van Dooren, R.1    De Groote, M.2    Janssen, H.3
  • 19
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    • Computation of periodic solutions of nonlinear ODE's
    • P. Deuflhard, Computation of periodic solutions of nonlinear ODE's, BIT 24, 456-466 (1984).
    • (1984) BIT , vol.24 , pp. 456-466
    • Deuflhard, P.1
  • 20
    • 38249035642 scopus 로고
    • Algorithms for determination of period doubling bifurcation points in ordinary differential equations
    • M. Kubiček and M. Holodniok, Algorithms for determination of period doubling bifurcation points in ordinary differential equations, J. Comput. Phys. 70, 203-217 (1987).
    • (1987) J. Comput. Phys. , vol.70 , pp. 203-217
    • Kubiček, M.1    Holodniok, M.2
  • 22
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    • Chaos: A tutorial for engineers
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  • 23
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    • Universal behaviour in nonlinear systems
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    • Feigenbaum, M.J.1
  • 24
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    • Determining liapounov exponents from a time series
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.