On a case of resonance for nonlinear systems : PMM vol. 38, n 6, 1974, pp. 986–990 |
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Authors: | V S Nustrov |
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Abstract: | We examine the case of resonance for systems close to nonlinear systems, admitting of a parametric periodic solution. Among the eigenvalues of the matrix of the system's linear part there are zero and pure imaginary ones. We have proved (under certain conditions) the absence of a periodic solution for the original system for which the generating solution is trivial. |
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