Abstract
This study is concerned with local and global bifurcation analysis of a system of equations with symmetry that occurs frequently in the study of surface waves in containers and vibrations of plates.
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References
Feng, Z.C.; Sethna, P.R. Global bifurcation and chaos in nonautonomous systems with Z2⊕Z2 symmetry. In preparation.
Feng, Z.C.; Sethna, P.R. Symmetry breaking bifurcations in resonant surface waves. J. Fluid Mech. Vol. 199 (1989), 495–518.
Holmes, P. Chaotic motions in a weakly nonlinear model for surface waves. J. Fluid Mech. Vol. 162 (1986), 365–388.
Miles, J.W.; Henderson, D. Parametrically forced surface waves. Preprint.
Nayfeh, A.H.; Pai, P.F. Non-linear non-planar parametric responses of an inextensional beam. Int. J. Nonlinear Mech. Vol. 24 (1989), 139–158.
Robinson, C. Horseshoes for autonomoús Hamiltonian systems using the Melnikov integral. Ergod. Th. & Dynam. Sys. Vol. 8 (1988), 395–409.
Steindl, A.; Troger, H. Bifurcations of the equilibrium of a spherical double pendulum at a multiple eigenvalue. International Series of Numerical Math. Vol. 79 (1987), 277–287.
Umeki, M.; Kambe, T. Nonlinear dynamics and chaos in parametrically excited surface waves. J. Phys. Soc. Japan Vol. 58 (1989), 140–154.
Wiggins, S. Global bifurcations and chaos—analytical methods. New York: Springer-Verlag 1988.
Yang, X.L.; Sethna, P.R. Bifurcation phenomena in the vibrations of nearly square plates with parametric excitations. In preparation.
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© 1990 Springer-Verlag Berlin Heidelberg
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Sethna, P.R., Feng, Z.C., Yang, X. (1990). On Symmetry Breaking Bifurcations: Local and Global Phenomena. In: Schiehlen, W. (eds) Nonlinear Dynamics in Engineering Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83578-0_35
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DOI: https://doi.org/10.1007/978-3-642-83578-0_35
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