2021
DOI: 10.1115/1.4050528
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Lyapunov–Perron Transformation for Quasi-Periodic Systems and Its Applications

Abstract: This paper depicts the application of symbolically computed Lyapunov Perron (L-P) Transformation to solve linear and nonlinear quasi-periodic systems. The L-P transformation converts a linear quasi-periodic system into a time-invariant one. State augmentation and the method of Normal Forms are used to compute the L-P transformation analytically. The state augmentation approach converts a linear quasi-periodic system into a nonlinear time invariant system as the quasi-periodic parametric excitation terms are re… Show more

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Cited by 4 publications
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