Year: 2020
Type: preprint
Abstract: We present the Complex Envelope Variable Approximation (CEVA) as the very useful and compact method for the analysis of the essentially nonlinear dynamical systems. It allows us to study both the stationary and non-stationary dynamics even in the cases, when any small parameters are absent in the initial problem. It is notable that the CEVA admits the analysis of the nonlinear normal modes and their resonant interactions in the discrete systems without any restrictions on the oscillation amplitudes. In this paper we formulate the CEVA's formalism and demonstrate some non-trivial examples of its application. The advantages of the method and possible problems are briefly discussed.
Source: arXiv (Cornell University)
Authors: Smirnov, Valeri V., Manevitch, Leonid I.
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3016984210