Abstract
Almost any physical theory formulated in mathematical terms in a general way is extremely complicated. Therefore, both in creating a theory and in its further development, the simplest limiting cases that admit analytical solutions are of paramount importance. It is quite common that in the limiting case there are fewer equations or the (differential) equation has a lower order or the nonlinear equation is replaced by a linear one or the original system is subjected to a kind of averaging and so on and so forth.
See also [40, 45, 80, 105, 109, 142, 28d, 38d].
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© 1998 Springer-Verlag Berlin Heidelberg
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Awrejcewicz, J., Andrianov, I.V., Manevitch, L.I. (1998). Introduction: Some General Principles of Asymptotology. In: Asymptotic Approaches in Nonlinear Dynamics. Springer Series in Synergetics, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72079-6_1
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DOI: https://doi.org/10.1007/978-3-642-72079-6_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-72081-9
Online ISBN: 978-3-642-72079-6
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