Abstract
The analytical methods of the present-day theory of nonlinear oscillations originated in the investigations by Poincaré [272, 273], Birkhoff [42] and Lyapunov [216, 217], laying the mathematical foundations for this theory. Although, it should be noted that a direct application of these mathematical methods to oscillation theory as such occurred much later, primarily owing to the works of Andronov [5, 7, 8].
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© 2001 Springer-Verlag Berlin Heidelberg
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Landa, P.S. (2001). The main analytical methods of studies of nonlinear oscillations in near-conservative systems. In: Regular and Chaotic Oscillations. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45252-2_2
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DOI: https://doi.org/10.1007/978-3-540-45252-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07423-3
Online ISBN: 978-3-540-45252-2
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