Self-Excitation of Low-Frequency Oscillations in the Plasma Ring Formed by an ECR Discharge in a Narrow Coaxial Cavity

Balmashnov, A. A.; Kalashnikov, A. V.; Kalashnikov, V. V.; Stepina, S. P.; Umnov, A. M.

doi:10.1134/s1063780x18050045

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2020

2024

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“…It should be noted here that the concept of self-oscillations is widely used in the modern science. For example, we refer the reader to [6][7][8][9][10][11], and for low-frequency self-oscillations, to [12].…”

Section: Introductionmentioning

confidence: 99%

On the Phenomenon of Low-Frequency, Large-Amplitude Oscillations in a High-Dimensional Linear Dynamical System

Gudimenko,

Lihosherstov

2024

Nelin. Dinam.

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This article provides an explanation of the observed phenomenon on the basis of a complete analytical solution of the system. The solution is constructed in a standard way by reducing the dynamic problem to the problem of eigenvalues and eigenvectors for the system matrix. When solving, we use methods from the theory of orthogonal polynomials. In addition, we discuss two physical interpretations of the system. The connection between these interpretations and the system is established through the Schrödinger variables.

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