Quasi-periodic response and stability analysis for non-linear systems: A general approach

Journal of Sound and Vibration

Volumn 192, Issue 4, 1996, Pages 821-833

  Kim, Y B ^a  

^a Chonnam National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BIFURCATION (MATHEMATICS); CALCULATIONS; ITERATIVE METHODS; MATRIX ALGEBRA; NATURAL FREQUENCIES; NONLINEAR SYSTEMS; STABILITY;

FIXED POINT ALGORITHM; JACOBIAN MATRIX; POINCARE MAP; QUASI PERIODIC RESPONSE;

DYNAMICS;

EID: 0030143342     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0220     Document Type: Article

References (12)

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2. C. KAAS-PETERSEN 1985 Journal of Computational Physics 58, 395-403. Computation of quasi-periodic solutions of forced dissipative systems.
3. C. KAAS-PETERSEN 1985 Journal of Computational Physics 64, 433-442. Computation of quasi-periodic solutions of forced dissipative systems II.
4. F. H. LING 1991 Journal of Sound and Vibration 144, 293-304. Quasi-periodic solutions calculated with simple shooting technique.
5. S. K. CHOI and S. T. NOAH 1991 Journal of Nonlinear Dynamics 3, 105-121. Response and stability analysis of piecewise-linear oscillators under multi-forcing frequencies.
6. G. IOOSS and D. P. JOSEPH 1980 Elementary Stability and Bifurcation Theory. New York: Springer-Verlag.
7. Y. B. Kim and S. T. NOAH 1991 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 58, 545-553. Stability and bifurcation analysis of oscillators with piecewise-linear characteristics: a general approach.
8. Y. B. KIM and S. T. NOAH 1992 International Journal of Non-Linear Mechanics 27, 833-843. Periodic response and crisis behavior for a system with piecewise-smooth non-linearities.
9. H. S. CHOI and J. Y. K. LOU 1991 International Journal of Nonlinear Mechanics 26, 461-473. Nonlinear behavior and chaotic motion of a SDOF system with piecewise-nonlinear stiffness.
10. J. M. T. THOMPSON 1983 Proceedings of the Royal Society of London 1387, 407-427. Complex dynamics of compliant offshore structures.
11. Y. B. KIM and S. T. NOAH 1991 Journal of Nonlinear Dynamics 1, 221-241. Bifurcation analysis for a modified Jeffcot rotor with bearing clearances.
12. C. GREBOGI, E. OTT and J. A. YORKE 1983 Physica 7D, 181-200. Crises, sudden changes in chaotic attractors, and transient chaos.