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Volumn 12, Issue 1, 2007, Pages 45-57

Chaos of a parametrically excited undamped pendulum

Author keywords

Chaos; Excited pendulum

Indexed keywords

CHAOS THEORY; OSCILLATIONS;

EID: 33745248429     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2006.01.004     Document Type: Article
Times cited : (11)

References (9)
  • 3
    • 4244098919 scopus 로고
    • Use of "Simple Shooting" to obtain chaos
    • Hastings S.P. Use of "Simple Shooting" to obtain chaos. Physica D 62 (1993) 87-93
    • (1993) Physica D , vol.62 , pp. 87-93
    • Hastings, S.P.1
  • 4
    • 21144461130 scopus 로고
    • Chaotic motion of a pendulum with oscillatory forcing
    • Hastings S.P., and McLeod J.B. Chaotic motion of a pendulum with oscillatory forcing. Am Math Month June-July (1993) 563-572
    • (1993) Am Math Month , Issue.June-July , pp. 563-572
    • Hastings, S.P.1    McLeod, J.B.2
  • 5
    • 34249920560 scopus 로고
    • On the periodic solutions of a forced second-order equation
    • Hastings S.P., and McLeod J.B. On the periodic solutions of a forced second-order equation. J Nonlinear Sci 1 (1991) 225-245
    • (1991) J Nonlinear Sci , vol.1 , pp. 225-245
    • Hastings, S.P.1    McLeod, J.B.2
  • 7
    • 85196171291 scopus 로고    scopus 로고
    • Lu C. Chaotic motions of a parametrically excited pendulum. Commun Nonlinear Sci Numer Sim, in press, doi:10.1016/j.cnsns.2005.01.010.
  • 8
    • 0001834849 scopus 로고
    • On the stability of the center for time periodic solutions
    • Melnikov V.K. On the stability of the center for time periodic solutions. Trans Moscow Math Soc (Trudy) 12 (1963) 3-52
    • (1963) Trans Moscow Math Soc (Trudy) , vol.12 , pp. 3-52
    • Melnikov, V.K.1
  • 9
    • 0010567216 scopus 로고
    • On the detection and dynamical consequences of orbits homoclinic to hyperbolic periodic orbits and normally hyperbolic invariant tori in a class of ordinary differential equations
    • Wiggins S. On the detection and dynamical consequences of orbits homoclinic to hyperbolic periodic orbits and normally hyperbolic invariant tori in a class of ordinary differential equations. SIAM J Appl Math 48 (1988) 262-285
    • (1988) SIAM J Appl Math , vol.48 , pp. 262-285
    • Wiggins, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.