Linear superposition of chaotic and orderly vibrations on two serially connected strings with a Van der Pol joint

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 6, Issue 8, 1996, Pages 1509-1527

  Chen, Goong ^a   Zhou, Jianxin ^a   Hsu, Sze Bi ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030209336     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127496000898     Document Type: Article

References (11)

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3. Chen, G. R. & Dong, X. [1993] "From chaos to order-perspectives and methodologies in controlling chaotic nonlinear dynamical systems," Int. J. Bifurcation and Chaos 3(6), 1363-1409.
4. Devaney, R. L. [1989] An Introduction to Chaotic Dynamical Systems (Addison-Wesley, New York).
5. Guckenheimer, J. & Holmes, P. [1983] Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields (Springer-Verlag, New York).
6. Keener, J. P. [1980] "Chaotic behavior in piecewise continuous difference equations," Trans. Amer. Math. Soc. 261, 589-604.
7. Lagnese, J. E., Leuguring, G. & Schmidt, G. [1994] Modelling, Analysis and Control of Multi-Link Flexible Structures (Birkhauser, Boston).
8. Moon, F. C. [1987] Chaotic Vibrations (Wiley-Interscience, New York).
9. SIAM [1995] Final Program and Abstracts of the Third SIAM Conference on Applications of Dynamical Systems, May, 1995, Snowbird, Utah, published by SIAM, Philadelphia, May, 1995.
10. Stoker, J. J. [1950] Nonlinear Vibrations (Wiley-Interscience, New York).
11. Wiggins, S. [1990] Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer-Verlag, New York).