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Volumn 67, Issue 5, 2007, Pages 1344-1358

Type I periodic motions for nonlinear impact oscillators

Author keywords

Impact oscillator; Melnikov method; Non smooth system; Subharmonic bifurcation

Indexed keywords

BIFURCATION (MATHEMATICS); NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 34247327445     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.07.021     Document Type: Article
Times cited : (11)

References (18)
  • 2
    • 0033229544 scopus 로고    scopus 로고
    • Local analysis of C-bifurcations in n-dimensional piecewise-smooth dynamical systems
    • Bernardo M.D., Feigin M.I., Hogan S.J., and Homer M.E. Local analysis of C-bifurcations in n-dimensional piecewise-smooth dynamical systems. Chaos Solitons Fractals 10 11 (1999) 1881-1908
    • (1999) Chaos Solitons Fractals , vol.10 , Issue.11 , pp. 1881-1908
    • Bernardo, M.D.1    Feigin, M.I.2    Hogan, S.J.3    Homer, M.E.4
  • 4
    • 0039752913 scopus 로고
    • Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators
    • Chicone C. Lyapunov-Schmidt reduction and Melnikov integrals for bifurcation of periodic solutions in coupled oscillators. J. Differential Equations 112 (1994) 407-447
    • (1994) J. Differential Equations , vol.112 , pp. 407-447
    • Chicone, C.1
  • 5
    • 0009370405 scopus 로고
    • Periodically forced linear oscillator with impacts-chaos and long period motions
    • Chow S.N., and Holmes P.J. Periodically forced linear oscillator with impacts-chaos and long period motions. Phys. Rev. Lett. 51 (1983) 623-626
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 623-626
    • Chow, S.N.1    Holmes, P.J.2
  • 7
    • 27344439701 scopus 로고    scopus 로고
    • Melnikov method for homoclinic bifurcation in nonlinear impact oscillators
    • Du Z., and Zhang W. Melnikov method for homoclinic bifurcation in nonlinear impact oscillators. Comput. Math. Appl. 50 3-4 (2005) 445-458
    • (2005) Comput. Math. Appl. , vol.50 , Issue.3-4 , pp. 445-458
    • Du, Z.1    Zhang, W.2
  • 8
    • 0028516064 scopus 로고
    • Bifurcations in impact oscillators
    • Foale S., and Bishop S.R. Bifurcations in impact oscillators. Nonlinear Dynam. 6 (1994) 285-299
    • (1994) Nonlinear Dynam. , vol.6 , pp. 285-299
    • Foale, S.1    Bishop, S.R.2
  • 9
    • 0002035723 scopus 로고    scopus 로고
    • On normal form calculations in impact oscillators
    • Fredriksson M.H., and Nordmark A.B. On normal form calculations in impact oscillators. Proc. R. Soc. Lond. A 456 (2000) 315-329
    • (2000) Proc. R. Soc. Lond. , vol.A 456 , pp. 315-329
    • Fredriksson, M.H.1    Nordmark, A.B.2
  • 10
    • 0032054337 scopus 로고    scopus 로고
    • The simplest walking model: Stability, complexity and scaling
    • Garcia M., Chatterjee A., Ruina A., and Coleman M. The simplest walking model: Stability, complexity and scaling. ASME J. Biomech. Eng. 120 2 (1998) 281-288
    • (1998) ASME J. Biomech. Eng. , vol.120 , Issue.2 , pp. 281-288
    • Garcia, M.1    Chatterjee, A.2    Ruina, A.3    Coleman, M.4
  • 12
    • 0003983811 scopus 로고
    • Robert E. Krieger Publishing Company, Huntington, NY
    • Hale J.K. Ordinary Differential Equations (1980), Robert E. Krieger Publishing Company, Huntington, NY
    • (1980) Ordinary Differential Equations
    • Hale, J.K.1
  • 14
    • 0042623544 scopus 로고    scopus 로고
    • Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator
    • Luo A.C.J. Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator. Chaos Solitons Fractals 19 (2004) 823-839
    • (2004) Chaos Solitons Fractals , vol.19 , pp. 823-839
    • Luo, A.C.J.1
  • 15
    • 0141615851 scopus 로고    scopus 로고
    • Global chaos in a periodically forced, linear system with a dead-zone restoring force
    • Luo A.C.J., and Menon S. Global chaos in a periodically forced, linear system with a dead-zone restoring force. Chaos Solitons Fractals 19 (2004) 1189-1199
    • (2004) Chaos Solitons Fractals , vol.19 , pp. 1189-1199
    • Luo, A.C.J.1    Menon, S.2
  • 16
    • 0021097823 scopus 로고
    • A periodically forced piecewise linear oscillator
    • Shaw S.W., and Holmes P.J. A periodically forced piecewise linear oscillator. J. Sound Vibration 90 (1983) 129-155
    • (1983) J. Sound Vibration , vol.90 , pp. 129-155
    • Shaw, S.W.1    Holmes, P.J.2
  • 17
    • 0024859539 scopus 로고
    • The transition to chaos in a simple mechanical system
    • Shaw S.W., and Rand R.H. The transition to chaos in a simple mechanical system. Internat. J. Non-linear Mech. 24 1 (1989) 41-56
    • (1989) Internat. J. Non-linear Mech. , vol.24 , Issue.1 , pp. 41-56
    • Shaw, S.W.1    Rand, R.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.