Stability of the Damped Mathieu Equation With Time Delay

[+] Author and Article Information
T. Insperger, G. Stépán

Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, H-1521, Hungary

J. Dyn. Sys., Meas., Control 125(2), 166-171 (Jun 04, 2003) (6 pages) doi:10.1115/1.1567314 History: Received May 01, 2002; Revised December 01, 2002; Online June 04, 2003
Copyright © 2003 by ASME
Topics: Stability , Delays , Equations
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Strutt-Ince stability chart of the damped Mathieu equation (4)
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Hsu-Bhatt-Vyshnegradskii stability chart of Eq. (7)
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Domains of stability of Eq. (10) for ε=1
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Stability chart of delayed Mathieu equation (10)
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Period one (continuous) and period two (dashed) boundary lines for Eq. (11) with ε=1,κ=0.1
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Approximation of the time delay for m=4
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Stability boundaries for the Eq. (11) obtained by the semi-discretization method




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