Analytical Solutions for Periodic Motions in a Hardening Mathieu-Duffing Oscillator
Keyword(s):
Period 2
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Analytical solutions for period-m motions in a hardening Mathieu-Duffing oscillator are obtained using the finite Fourier series solutions, and the stability and bifurcation analysis of such periodic motions are completed. To verify the approximate analytical solutions of periodic motions, numerical simulations of the hardening Mathieu-Duffing oscillator are presented. Period-1 asymmetric and period-2 symmetric motions are illustrated.
2014 ◽
Vol 24
(01)
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pp. 1430004
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2013 ◽
Vol 23
(03)
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pp. 1330009
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2014 ◽
Vol 9
(3)
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