The methods of strained parameters and multiple scales are used to determine a second-order uniform expansion for the solutions of Hill’s equation near the transition curves. Second-order explicit expansions are presented for the characteristic exponents and the transition curves.
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Characteristic Exponents and Stability of Hill’s Equation
Ali Hasan Nayfeh
Department of Engineering Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Va.
Nayfeh, A. H. (December 1, 1972). "Characteristic Exponents and Stability of Hill’s Equation." ASME. J. Appl. Mech. December 1972; 39(4): 1156–1158. https://doi.org/10.1115/1.3422856
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