1 |
Vakakis, A. F., 1992, Nonsimilar Normal Oscillations in a Strongly Non-linear Discrete System, Journal of Sound and Vibration, Vol. 158, No. 2, pp. 341-361.
DOI
|
2 |
Shaw, S. W. and Pierre, C., 1991, Non-linear Normal Modes and Invariant Manifolds, Journal of Sound and Vibration,m Vol. 150, No. 1, pp. 170-173.
DOI
|
3 |
Shaw, W. S. and Pierre, C., 1993, Normal Modes for Non-linear Vibratory Systems, Journal of Sound and Vibration, Vol. 164, No. 1, pp. 85-124.
DOI
|
4 |
Shaw, W. S. and Pierre, C., 1994, Normal Modes of Vibration for Non-linear Continuous Systems, Journal of Sound and Vibration, Vol. 169, No. 3, pp. 319-347.
DOI
|
5 |
Peeters, M. et al, 2009, Nonlinear Normal Modes, Part II: Toward a Practical Computation Using Numerical Continuation Techniques, Mechanical Systems and Signal Processing, Vol. 23, No. 1, pp. 195-216.
DOI
|
6 |
Seydel, R., 2009, Practical Bifurcation and Stability Analysis, Vol. 5. Springer Science & Business Media.
|
7 |
Kuznetsov, Y. A., 2013, Elements of Applied Bifurcation Theory, Vol. 112. Springer Science & Business Media.
|
8 |
Rosenberg, R. M., 1960, Normal Modes of Nonlinear Dual-mode Systems, Journal of Applied Mechanics, Vol. 27, No. 2, pp. 263-268.
DOI
|
9 |
Rand, H. R., 1974, A Direct Method for Non-linear Normal Modes, International Journal of Non-linear Mechanics, Vol. 9, pp. 363-368.
DOI
|
10 |
Pak, C. H., 2006, On the Coupling of Non-linear Normal Modes, International Journal of Non-linear Mechanics, Vol. 41, No. 5, pp. 716-725.
DOI
|
11 |
Enns, R. H. and George, M., 1997, Van der Pol Limit Cycle, Laboratory Manual for Nonlinear Physics with Maple for Scientists and Engineers.
|
12 |
Brackbill, J. U. and Cohen, B. I., 2014, Multiple Time Scales, Academic Press.
|
13 |
Wirkus, S. and Richard, R., 2002, The Dynamics of Two Coupled Van der Pol Oscillators with Delay Coupling, Nonlinear Dynamics, Vol. 30, No. 3, pp. 205-221.
DOI
|
14 |
Keller, B. H., 1968, Numerical Methods for Two-point Boundary-value Problems.
|
15 |
Pak, C. H., et al, 2007, One to One Resonance of Nonlinear Cantilever Beam, Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No. 1, pp. 48-54.
DOI
|
16 |
Vance, J., Zeidan, F. and Murphy, B., 2010, Machinery Vibration and Rotor Dynamics, John Wiley & Sons, New Jersey.
|
17 |
Pak, C. H. and Rosenberg, R. M., 1968, On the Existence of Normal Mode Vibrations in Nonlinear Systems, Quarterly of Applied Mathematics, Vol. 26, No. 3, pp. 403-416.
DOI
|