메뉴 건너뛰기




Volumn 11, Issue 3, 1996, Pages 213-233

Separatrices and limit cycles of strongly nonlinear oscillators by the perturbation-incremental method

Author keywords

Global bifurcation; Homoclinic (heteroclinic) orbits; Limit cycles; Strongly nonlinear oscillators

Indexed keywords

BIFURCATION (MATHEMATICS); NONLINEAR SYSTEMS; ORBITS; PERTURBATION TECHNIQUES; STABILITY;

EID: 0030285349     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00120718     Document Type: Article
Times cited : (33)

References (19)
  • 3
    • 0024648820 scopus 로고
    • Extension and improvement to the Krylov-Bogoliubov methods using elliptic function
    • Yuste, S. B. and Bejarano, J. D., 'Extension and improvement to the Krylov-Bogoliubov methods using elliptic function', International Journal of Control 49, 1989, 1127-1141.
    • (1989) International Journal of Control , vol.49 , pp. 1127-1141
    • Yuste, S.B.1    Bejarano, J.D.2
  • 4
    • 0025206791 scopus 로고
    • Averaging using elliptic functions: Approximation of limit cycles
    • Coppola, V. T. and Rand, R. H., 'Averaging using elliptic functions: Approximation of limit cycles', Acta Mechanica 81, 1990, 125-142.
    • (1990) Acta Mechanica , vol.81 , pp. 125-142
    • Coppola, V.T.1    Rand, R.H.2
  • 6
    • 26644457315 scopus 로고
    • Asymptotic method for analysis of non-linear systems with two parameters
    • Xu, Z. and Zhang, L. Q., 'Asymptotic method for analysis of non-linear systems with two parameters', Acta Mathematica Scientia 6, 1986, 453-462.
    • (1986) Acta Mathematica Scientia , vol.6 , pp. 453-462
    • Xu, Z.1    Zhang, L.Q.2
  • 7
    • 51249170294 scopus 로고
    • Nonlinear time transformation method for strong nonlinear oscillation systems
    • Xu, Z., 'Nonlinear time transformation method for strong nonlinear oscillation systems', Acta Mechanica Sinica 8, 1992, 279-288.
    • (1992) Acta Mechanica Sinica , vol.8 , pp. 279-288
    • Xu, Z.1
  • 8
    • 0028466109 scopus 로고
    • Averaging method using generalized harmonic functions for strongly non-linear oscillators
    • Xu, Z. and Cheung, Y. K., 'Averaging method using generalized harmonic functions for strongly non-linear oscillators', Journal of Sound and Vibration 174, 1994, 563-576.
    • (1994) Journal of Sound and Vibration , vol.174 , pp. 563-576
    • Xu, Z.1    Cheung, Y.K.2
  • 9
    • 0005194232 scopus 로고
    • A non-linear scales method for strongly non-linear oscillators
    • Xu, Z. and Cheung, Y. K., 'A non-linear scales method for strongly non-linear oscillators', Nonlinear Dynamics 7, 1995, 285-299.
    • (1995) Nonlinear Dynamics , vol.7 , pp. 285-299
    • Xu, Z.1    Cheung, Y.K.2
  • 10
    • 0007070254 scopus 로고
    • Asymptotic solutions of nonlinear second order differential equations with variable coefficients
    • Kuzmak, G. E., 'Asymptotic solutions of nonlinear second order differential equations with variable coefficients', Prikladnaya Matematika Mekhanika 23, 1959, 515-526.
    • (1959) Prikladnaya Matematika Mekhanika , vol.23 , pp. 515-526
    • Kuzmak, G.E.1
  • 11
    • 0009084682 scopus 로고
    • Two timescale harmonic balance, I. Application to autonomous one-dimensional nonlinear oscillators
    • Summers, J. L. and Savage, M.D., 'Two timescale harmonic balance, I. Application to autonomous one-dimensional nonlinear oscillators', Philosophical Transactions of the Royal Society London A340, 1992, 473-501.
    • (1992) Philosophical Transactions of the Royal Society London , vol.A340 , pp. 473-501
    • Summers, J.L.1    Savage, M.D.2
  • 12
    • 0029326788 scopus 로고
    • A perturbation-iterative method for determining limit cycles of strongly non-linear oscillators
    • Chan, H. S. Y., Chung, K. W., and Xu, Z., 'A perturbation-iterative method for determining limit cycles of strongly non-linear oscillators', Journal of Sound and Vibration 183, 1995, 707-717.
    • (1995) Journal of Sound and Vibration , vol.183 , pp. 707-717
    • Chan, H.S.Y.1    Chung, K.W.2    Xu, Z.3
  • 13
    • 0019668332 scopus 로고
    • Amplitude incremental variational principle for nonlinear vibration of elastic system
    • Lau, S. L. and Cheung, Y. K., 'Amplitude incremental variational principle for nonlinear vibration of elastic system', ASME Journal of Applied Mechanics 48, 1981, 959-964.
    • (1981) ASME Journal of Applied Mechanics , vol.48 , pp. 959-964
    • Lau, S.L.1    Cheung, Y.K.2
  • 14
    • 0027684828 scopus 로고
    • Solution diagram of non-linear dynamic systems by the IHB method
    • Lau, S. L. and Yuen, S. W., 'Solution diagram of non-linear dynamic systems by the IHB method', Journal of Sound and Vibration 167, 1993, 303-316.
    • (1993) Journal of Sound and Vibration , vol.167 , pp. 303-316
    • Lau, S.L.1    Yuen, S.W.2
  • 17
    • 0022739178 scopus 로고
    • On infinite period bifurcations with an application to roll waves
    • Merkin, J. H. and Needham, D. J., 'On infinite period bifurcations with an application to roll waves', Acta Mechanica 60, 1986, 1-16.
    • (1986) Acta Mechanica , vol.60 , pp. 1-16
    • Merkin, J.H.1    Needham, D.J.2
  • 19
    • 0028517639 scopus 로고
    • Existence and nonexistence of periodic solutions for the Liénard and related equations
    • Nocilla, S. and Moroni, P., 'Existence and nonexistence of periodic solutions for the Liénard and related equations', Nonlinear Dynamics 6, 1994, 331-352.
    • (1994) Nonlinear Dynamics , vol.6 , pp. 331-352
    • Nocilla, S.1    Moroni, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.