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- Title
Comparing the Spectra of Oscillation Exponents of a Nonlinear System and the First Approximation System.
- Authors
Stash, A. Kh.
- Abstract
We study the oscillation exponents of differential systems. It is established that there is no dependence between the spectra of oscillation exponents of a nonlinear system and the system of its first approximation; namely, a two-dimensional nonlinear system is constructed such that the spectra of oscillation exponents of its restriction to any open neighborhood of zero on the phase plane consist of all rational numbers in the interval and the spectra of the linear system of its first approximation consist of only one element.
- Subjects
NONLINEAR oscillations; NONLINEAR systems; RATIONAL numbers; FLUCTUATIONS (Physics); OSCILLATIONS; EXPONENTS
- Publication
Differential Equations, 2023, Vol 59, Issue 8, p1147
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266123080128