Symmetric and flat bifurcations: An oscillatory phenomenon

Author:

Atadan A. S.,Huseyin K.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Reference10 articles.

1. Atadan, A. S., Huseyin, K.: Stability of limit cycles associated with a symmetric bifurcation phenomenon. IEEE Int. Sym. on Cir. a. Syst., pp. 681?684. Newport Beach, Cal., 1983.

2. Hopf, E.: Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differentialsystems. Berichte der Mathematisch-Physikalischen Klasse der Sächsischen Akademie der Wissenschaften, pp. 1?22. Leipzig: CSIV 1942. (For English translation see [3, 163?193].)

3. Marsden, J. E., McCraken, M. (eds.): The Hopf bifurcation and its applications. Berlin-Heidelberg-New York: Springer 1976.

4. Sethma, P. R., Shapiro, S. H.: Non-linear behaviour of flutter unstable dynamical systems with gyroscopic and circulatory forces. ASME J. Appl. Mech.44, 755?762 (1977).

5. Holmes, P. J.: Bifurcations of divergence and flutter in flow induced oscillations: a finite dimensional analysis. J. Sound Vib.53, 471?503 (1977).

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