Canonic Coupling of Sinusoidal Oscillators

B. Z. Kaplan; K. Radparvar

doi:10.1109/PROC.1982.12438

Canonic Coupling of Sinusoidal Oscillators

B. Z. Kaplan
, K. Radparvar

Department of Electrical & Computer Engineering

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The problem of coupling between oscillators is usually tackled by employing the Van der Pol equation for representing the oscillators and solving the equations approximately. The present communication suggests another well-known oscillator and simple coupling factors for modeling the system. As a result, the system equations become directly integrable without approximations. The problem of the coupling of two oscillators is solved comprehensively and several regions of distinct dynamic behavior of the system and bifurcation points are identified.

Original language	English
Pages (from-to)	1130-1132
Number of pages	3
Journal	Proceedings of the IEEE
Volume	70
Issue number	9
DOIs	https://doi.org/10.1109/PROC.1982.12438
State	Published - 1 Jan 1982

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/PROC.1982.12438

Cite this

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title = "Canonic Coupling of Sinusoidal Oscillators",

abstract = "The problem of coupling between oscillators is usually tackled by employing the Van der Pol equation for representing the oscillators and solving the equations approximately. The present communication suggests another well-known oscillator and simple coupling factors for modeling the system. As a result, the system equations become directly integrable without approximations. The problem of the coupling of two oscillators is solved comprehensively and several regions of distinct dynamic behavior of the system and bifurcation points are identified.",

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year = "1982",

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AU - Radparvar, K.

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Y1 - 1982/1/1

N2 - The problem of coupling between oscillators is usually tackled by employing the Van der Pol equation for representing the oscillators and solving the equations approximately. The present communication suggests another well-known oscillator and simple coupling factors for modeling the system. As a result, the system equations become directly integrable without approximations. The problem of the coupling of two oscillators is solved comprehensively and several regions of distinct dynamic behavior of the system and bifurcation points are identified.

AB - The problem of coupling between oscillators is usually tackled by employing the Van der Pol equation for representing the oscillators and solving the equations approximately. The present communication suggests another well-known oscillator and simple coupling factors for modeling the system. As a result, the system equations become directly integrable without approximations. The problem of the coupling of two oscillators is solved comprehensively and several regions of distinct dynamic behavior of the system and bifurcation points are identified.

UR - https://www.scopus.com/pages/publications/0020185798

U2 - 10.1109/PROC.1982.12438

DO - 10.1109/PROC.1982.12438

M3 - Article

AN - SCOPUS:0020185798

SN - 0018-9219

VL - 70

SP - 1130

EP - 1132

JO - Proceedings of the IEEE

JF - Proceedings of the IEEE

IS - 9

ER -

Canonic Coupling of Sinusoidal Oscillators

Abstract

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