메뉴 건너뛰기




Volumn 33, Issue 5, 1998, Pages 907-933

On the non-stationary passage through bifurcations in resonantly forced Hamiltonian oscillators

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000378352     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7462(97)00060-7     Document Type: Article
Times cited : (10)

References (27)
  • 4
    • 0024281777 scopus 로고
    • Non-stationary parametric oscillations
    • A. H. Nayfeh and K. R. Asfar, Non-stationary parametric oscillations. J. Sound Vib. 124, 529-537 (1988).
    • (1988) J. Sound Vib. , vol.124 , pp. 529-537
    • Nayfeh, A.H.1    Asfar, K.R.2
  • 5
    • 0025539951 scopus 로고
    • Response of a single-degree-of-freedom system to a non-stationary principal parametric excitation
    • H. L. Neal and A. H. Nayfeh, Response of a single-degree-of-freedom system to a non-stationary principal parametric excitation. Int. J. Non-Linear Mech. 25 (2/3), 275-284 (1990).
    • (1990) Int. J. Non-Linear Mech. , vol.25 , Issue.2-3 , pp. 275-284
    • Neal, H.L.1    Nayfeh, A.H.2
  • 6
    • 0018506677 scopus 로고
    • Slowly varying jump and transition phenomena associated with algebraic bifurcation problems
    • R. Haberman, Slowly varying jump and transition phenomena associated with algebraic bifurcation problems. SIAM J. Appl. Math. 37 (1), 69-106 (1979).
    • (1979) SIAM J. Appl. Math. , vol.37 , Issue.1 , pp. 69-106
    • Haberman, R.1
  • 7
    • 0016549570 scopus 로고
    • Exchange of stabilities in autonomous systems
    • N. R. Lebovitz and R. J. Schaar, Exchange of stabilities in autonomous systems. Stud. Appl. Math. 54(3), 229-260 (1975).
    • (1975) Stud. Appl. Math. , vol.54 , Issue.3 , pp. 229-260
    • Lebovitz, N.R.1    Schaar, R.J.2
  • 8
    • 0001915231 scopus 로고
    • Exchange of stabilities in autonomous systems - II. Vertical bifurcation
    • N. R. Lebovitz and R. J. Schaar, Exchange of stabilities in autonomous systems - II. Vertical bifurcation. Stud. Appl. Math. 56, 1-50 (1975).
    • (1975) Stud. Appl. Math. , vol.56 , pp. 1-50
    • Lebovitz, N.R.1    Schaar, R.J.2
  • 9
    • 0000881312 scopus 로고
    • Persistance of stability loss for dynamical systems
    • A. I. Neishtadt, Persistance of stability loss for dynamical systems. Differential Equations 23, 1385-1391 (1988).
    • (1988) Differential Equations , vol.23 , pp. 1385-1391
    • Neishtadt, A.I.1
  • 10
    • 0348098471 scopus 로고    scopus 로고
    • On the slow transition across instabilities in nonlinear dissipative systems
    • A. Raman, A. K. Bajaj and P. Davies, On the slow transition across instabilities in nonlinear dissipative systems. J. Sound Vib. 189, 1-31 (1996).
    • (1996) J. Sound Vib. , vol.189 , pp. 1-31
    • Raman, A.1    Bajaj, A.K.2    Davies, P.3
  • 11
    • 0000585760 scopus 로고
    • Dynamic bifurcation in Hamiltonian systems with one degree of freedom
    • N. R. Lebovitz and A. I. Pesci, Dynamic bifurcation in Hamiltonian systems with one degree of freedom. SIAM J. Appl. Math. 55 (4), 1117-1133 (1995).
    • (1995) SIAM J. Appl. Math. , vol.55 , Issue.4 , pp. 1117-1133
    • Lebovitz, N.R.1    Pesci, A.I.2
  • 12
    • 85158912796 scopus 로고
    • Vibration during acceleration through a critical speed
    • F. M. Lewis, Vibration during acceleration through a critical speed. Trans. ASME 54, 253-261 (1930).
    • (1930) Trans. ASME , vol.54 , pp. 253-261
    • Lewis, F.M.1
  • 13
    • 0025545324 scopus 로고
    • Non-stationary responses of a self-excited driven system
    • M. H. Tran and R. M. Evan-Iwanowski, Non-stationary responses of a self-excited driven system. Int. J. Non-Linear Mech. 25 (2/3), 285-297 (1990).
    • (1990) Int. J. Non-Linear Mech. , vol.25 , Issue.2-3 , pp. 285-297
    • Tran, M.H.1    Evan-Iwanowski, R.M.2
  • 14
    • 0023422341 scopus 로고
    • Perturbation techniques for oscillatory systems with slowly varying coefficients
    • J. Kevorkian, Perturbation techniques for oscillatory systems with slowly varying coefficients. SIAM Rev. 29 (3), 391-461 (1987).
    • (1987) SIAM Rev. , vol.29 , Issue.3 , pp. 391-461
    • Kevorkian, J.1
  • 18
    • 0002195416 scopus 로고
    • Invariant theory and normal form of Hamiltonian vectorfields with nilpotent linear part
    • Canadian Mathematical Society
    • R. Cushman and J. A. Sanders, Invariant theory and normal form of Hamiltonian vectorfields with nilpotent linear part. In Oscillation, Bifurcation, and Chaos: Proc. 1986 Annual Seminar. Canadian Mathematical Society (1987).
    • (1987) Oscillation, Bifurcation, and Chaos: Proc. 1986 Annual Seminar
    • Cushman, R.1    Sanders, J.A.2
  • 19
    • 0002428495 scopus 로고
    • Unique normal forms for vector fields and Hamiltonians
    • A. Baider, Unique normal forms for vector fields and Hamiltonians. J. Differential Equations 78, 33-52 (1989).
    • (1989) J. Differential Equations , vol.78 , pp. 33-52
    • Baider, A.1
  • 20
    • 0000939156 scopus 로고
    • Unique normal forms: The nilpotent Hamiltonian case
    • A. Baider and J. A. Sanders, Unique normal forms: the nilpotent Hamiltonian case. J. Differential Equations 92, 282-304 (1991).
    • (1991) J. Differential Equations , vol.92 , pp. 282-304
    • Baider, A.1    Sanders, J.A.2
  • 23
    • 0346837745 scopus 로고
    • Chaos in a system with a periodically disappearing seperatrix
    • V. T. Coppola and R. H. Rand, Chaos in a system with a periodically disappearing seperatrix. Nonlinear Dyn. 1, 401-420 (1990).
    • (1990) Nonlinear Dyn. , vol.1 , pp. 401-420
    • Coppola, V.T.1    Rand, R.H.2
  • 24
    • 0000732496 scopus 로고
    • Exact linearization of a Painlevé transcendent
    • M. J. Ablowitz and H. Segur, Exact linearization of a Painlevé transcendent. Phys. Rev. Lett. 38 (2), 1103-1106 (1977).
    • (1977) Phys. Rev. Lett. , vol.38 , Issue.2 , pp. 1103-1106
    • Ablowitz, M.J.1    Segur, H.2
  • 26
    • 0346837746 scopus 로고
    • Asymptotics for the Painlevé ii equation: Announcement of results
    • Spectral and Scattering Theory and its Applications, Kinokuniya-Shoten, Tokyo
    • P. A. Deift and X. Zhou, Asymptotics for the Painlevé ii equation: announcement of results. In Spectral and Scattering Theory and its Applications, Adv. Stud. Pure Math., Kinokuniya-Shoten, Tokyo (1993).
    • (1993) Adv. Stud. Pure Math.
    • Deift, P.A.1    Zhou, X.2
  • 27
    • 0004011165 scopus 로고
    • The Isomonodromic Deformation Method in the Theory of Painlevé Equations
    • Springer, Berlin
    • A. R. Its and V. Yu. Novokshenov, The Isomonodromic Deformation Method in the Theory of Painlevé Equations, Lecture Notes in Mathematics. Springer, Berlin (1986).
    • (1986) Lecture Notes in Mathematics
    • Its, A.R.1    Novokshenov, V.Yu.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.