Parametrically Excited Anharmonic Oscillator

Ordin S.V.; Ioffe Instinute

Parametrically Excited Anharmonic Oscillator

Ordin S.V. * §

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Parametrically Excited Anharmonic Oscillator

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Abstract

Earlier [0] analyzed the behavior of the “dynamic point” -the harmonic oscillator. But there are phenomena for which even the damped harmonic oscillator is not elementary, but primitive. ELEMENTARY is an oscillator, which was previously called simply parametric, but, as shown in this work, strictly speaking, should be called parametrically excited anharmonic oscillator. As the analysis showed, this oscillator has stationary solutions for a harmonic oscillator at a doubled resonant frequency and for only one strictly defined level of attenuation, the deviation from which leads to a catastrophic increase, or to full cancellation of the oscillations. As shown in the elementary model, the doubled resonant frequency of the excitation occurs with orthogonal (transverse) oscillation at the frequency of the longitudinal resonance. This analysis was done to describe the anomalous non-transmission band in boron nitride.

References

2 Cites in Article

Reference Format

L Academician,Mandelstam (1972). Lectures on the Theory of Oscillations.
A Andronov,A Vitt,S Khaikin (1981). DISCONTINUOUS OSCILLATIONS.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Ordin S.V., Ioffe Instinute. 2019. "Parametrically Excited Anharmonic Oscillator". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 19 (GJSFR Volume 19 Issue A3).

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GJSFR Volume 19 Issue A3

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-A Classification FOR Code: 010106

029999

Submission ReceivedFebruary 21, 2019
Peer Review Double Blind
Handling Editor
Accepted March 18, 2019
Published March 28, 2019

Version of record

v1.2

Issue date

May 9, 2019

Language

English

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Article Matrices

Total Score: 145

Country: Unknown

Subject: Global Journal of Science Frontier Research

Authors: Ordin S.V. (PhD/Dr. count: 0)

View Count (all-time): 311

Total Views (Real + Logic): 888

Total Downloads (simulated): 53

Publish Date: 2019 03, Thu

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Total Views: 888

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