Abstract | ||
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In this paper, analytical solutions for periodic motions in a parametric hardening Duffing oscillator are presented using the finite Fourier series expression, and the corresponding stability and bifurcation analysis for such periodic motions are carried out. The frequency-amplitude characteristics of asymmetric period-1 and symmetric period-2 motions are discussed. The hardening Mathieu-Duffing oscillator is also numerically simulated to verify the approximate analytical solutions of periodic motions. Period-1 asymmetric and period-2 symmetric motions are illustrated for a better understanding of periodic motions in the hardening Mathieu-Duffing oscillator. |
Year | DOI | Venue |
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2014 | 10.1142/S0218127414300043 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
Hardening Mathieu-Duffing oscillator, asymmetric period-1 motions, symmetric period-2 motion, nonlinear dynamical systems | Journal | 24 |
Issue | ISSN | Citations |
1 | 0218-1274 | 1 |
PageRank | References | Authors |
0.39 | 1 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Albert C. J. Luo | 1 | 60 | 22.16 |
Dennis M. O'Connor | 2 | 1 | 0.39 |