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Volumn 207, Issue 3, 1997, Pages 383-392

Non-linear vibrations of hardening systems: Chaotic dynamics and unpredictable jumps to and from resonance

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; DYNAMIC RESPONSE; NATURAL FREQUENCIES; NONLINEAR SYSTEMS; RESONANCE; STIFFNESS;

EID: 0031247458     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1095     Document Type: Article
Times cited : (7)

References (15)
  • 1
    • 33746672747 scopus 로고
    • Randomly transitional phenomena in the system governed by Buffing's Equation
    • Y. UEDA 1979 Journal of Statistical Physics 20, 181-196. Randomly transitional phenomena in the system governed by Buffing's Equation.
    • (1979) Journal of Statistical Physics , vol.20 , pp. 181-196
    • Ueda, Y.1
  • 2
    • 0023577901 scopus 로고
    • Numerical simulations of periodic and chaotic responses in a stable Duffing system
    • T. FANG and E. H. DOWELL 1987 International Journal of Nonlinear Mechanics 22, 401-425. Numerical simulations of periodic and chaotic responses in a stable Duffing system.
    • (1987) International Journal of Nonlinear Mechanics , vol.22 , pp. 401-425
    • Fang, T.1    Dowell, E.H.2
  • 3
    • 0025703263 scopus 로고
    • The approximate approach to chaos phenomena in oscillators having a single equilibrium position
    • W. SZEMPLINSKA-STUPNICKA and P. NIEZODZKI 1990 Journal of Sound and Vibration 141, 181-192. The approximate approach to chaos phenomena in oscillators having a single equilibrium position.
    • (1990) Journal of Sound and Vibration , vol.141 , pp. 181-192
    • Szemplinska-Stupnicka, W.1    Niezodzki, P.2
  • 4
    • 0025867560 scopus 로고
    • Periodic and chaotic motions of an unsymmetrical oscillator in nonlinear structural dynamics
    • G. REGA, F. BENEDETTI and A. SALVATORI 1991 Chaos, Solitons & Fractals 1, 39-54. Periodic and chaotic motions of an unsymmetrical oscillator in nonlinear structural dynamics.
    • (1991) Chaos, Solitons & Fractals , vol.1 , pp. 39-54
    • Rega, G.1    Benedetti, F.2    Salvatori, A.3
  • 5
    • 0026953115 scopus 로고
    • Influences of harmonic coupling on bifurcations in Duffing oscillators with bounded potential well
    • Y. H. KAO, C. S. WANG and T. H. YANG 1992 Journal of Sound and Vibration 159, 13-21. Influences of harmonic coupling on bifurcations in Duffing oscillators with bounded potential well.
    • (1992) Journal of Sound and Vibration , vol.159 , pp. 13-21
    • Kao, Y.H.1    Wang, C.S.2    Yang, T.H.3
  • 6
    • 0027662954 scopus 로고
    • Jumps to resonance: Long chaotic transients, unpredictable outcome and the probability of restabilization
    • M. S. SOLIMAN 1993 Journal of Applied Mechanics 60, 669-676. Jumps to resonance: long chaotic transients, unpredictable outcome and the probability of restabilization.
    • (1993) Journal of Applied Mechanics , vol.60 , pp. 669-676
    • Soliman, M.S.1
  • 7
  • 8
    • 0001189277 scopus 로고
    • Basin organisation prior to a tangled saddle-node bifurcation
    • M. S. SOLIMAN and J. M. T. THOMPSON 1991 Bifurcation and Chaos 1, 107-119. Basin organisation prior to a tangled saddle-node bifurcation.
    • (1991) Bifurcation and Chaos , vol.1 , pp. 107-119
    • Soliman, M.S.1    Thompson, J.M.T.2
  • 12
    • 0002195414 scopus 로고
    • Dynamic bifurcations in non-stationary systems: Transitions with an unpredictable outcome
    • M. S. SOLIMAN 1995 Proceedings of the Royal Society of London A451, 471-485. Dynamic bifurcations in non-stationary systems: transitions with an unpredictable outcome.
    • (1995) Proceedings of the Royal Society of London , vol.A451 , pp. 471-485
    • Soliman, M.S.1
  • 13
    • 0039505985 scopus 로고    scopus 로고
    • An experimental verification of basin metamophoses in a nonlinear mechanical system
    • to appear
    • M. D. TODD and L. N. VIRGIN 1997 International Journal of Bifurcation and Chaos [to appear]. An experimental verification of basin metamophoses in a nonlinear mechanical system.
    • (1997) International Journal of Bifurcation and Chaos
    • Todd, M.D.1    Virgin, L.N.2
  • 14
    • 0024281886 scopus 로고
    • On the harmonic response of an oscillator with unsymmetric restoring force
    • L. N. VIRGIN On the harmonic response of an oscillator with unsymmetric restoring force. 1988 Journal of Sound and Vibration 126, 157-165
    • (1988) Journal of Sound and Vibration , vol.126 , pp. 157-165
    • Virgin, L.N.1
  • 15
    • 85020821546 scopus 로고
    • Basin bifurcation and chaotic attractor in an elastic oscillator with quadratic and cubic nonlinearities
    • AMD-144, Book No. G00736
    • G. REGA, A. SALVATORI and F. BENEDETTI 1992 Proceedings of the ASME, Nonlinear Vibrations AMD-144, Book No. G00736. Basin bifurcation and chaotic attractor in an elastic oscillator with quadratic and cubic nonlinearities.
    • (1992) Proceedings of the ASME, Nonlinear Vibrations
    • Rega, G.1    Salvatori, A.2    Benedetti, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.