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Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis |
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| Authors: | Sah Si Mohamed Fiedler Bernold Shayak B Rand Richard H |
| Institution: | 1.Department of Mechanical and Electrical Engineering, University of Southern Denmark, Odense, Denmark ;2.Institut für Mathematik, Freie Universit?t Berlin, Berlin, Germany ;3.Theoretical and Applied Mechanics, Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York, 14853, USA ;4.Department of Mathematics, Cornell University, Ithaca, New York, 14853, USA ; |
| Abstract: | Nonlinear Dynamics - The delayed Duffing equation $${\ddot{x}}(t)+x(t-T)+x^3(t)=0$$ is shown to possess an infinite and unbounded sequence of rapidly oscillating, asymptotically stable periodic... |
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