Abstract
Homogeneous chains of coupled nonlinear oscillators have become the subject of great interest in connection with different physical and mechanical problems1,2. One of the most efficient techniques for study of corresponding mathematical problems implies the use of complex variables and further multiple-scale expansions2.
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References
Kosevitch A.M. and Kovalyov A.S., 1974. Introduction to nonlinear physical mechanics (in Russian). Naukova dumka, Kiev, pp. 57–71, 107–119.
Manevitch L.I. 1999, Complex representation of dynamics of coupled nonlinear oscillators. In: Mathematical models of non—linear excitations, transfer, dynamics, and control in condensed systems and other media. Kluwer Academic/Plenum publishers.
Manevitch L.1.2001, The description of localized normal modes in a chain of nonlinear coupled oscillators: using of comlex variables. Nonlinear Dynamics. (to be published)
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Gorlov, D.V., Manevitch, L.I. (2001). Nonlinear Dynamics of Strongly Non-Homogeneous Chains with Symmetric Characteristics. In: Uvarova, L.A., Latyshev, A.V. (eds) Mathematical Modeling. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3397-6_15
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DOI: https://doi.org/10.1007/978-1-4757-3397-6_15
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