Summary
The authors of [1] discussed the subharmonic resonance bifurcation of Nonlinear Mathieu equation and they obtained six bifurcation diagrams in ( α, β )-plane. In this paper, we extended the results of [1] and pointed out that there exist as total as fourteen bifurcation diagrams which are not topological equivalence each other. Experimental results of mechanical model coinside with the results of paper [1].
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References
Chen Y. S., & Langfford W. F., Acta Mechanica Sinica, China, 4, 1988
Golubitsky M., & Schaeffer D. G., Singularities and Groups in Bifurcation Theory, Vol.1, Springer-Verlag, 1985
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© 1990 Springer-Verlag Berlin Heidelberg
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Chen, Y.S., Zhan, K., Langford, W.F. (1990). Extended Results of Subharmonic Resonance Bifurcation of Nonlinear Mathieu Equation and Some Experimental Results. 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_6
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DOI: https://doi.org/10.1007/978-3-642-83578-0_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83580-3
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