Van der Pol realization of torus knot oscillators

Author

Rassai, Rassa ; Newcomb, Robert W.

Author_Institution

Dept. of Electr. Eng., Maryland Univ., College Park, MD, USA

Volume

Issue

fYear

1988

fDate

2/1/1988 12:00:00 AM

Firstpage

215

Lastpage

220

Abstract

Van der Pol type nonlinear oscillators are used for the design of a torus knot oscillator. This involves replacing the structurally unstable linear oscillators of previous theories by nonlinear Van der Pol ones that can be designed using an op-amp-realized piecewise-linear negative resistor. The resulting five design cases are then conveniently treated, using piecewise-linear theory, to yield limit cycles from which the torus knots are formed. The resulting equations are used to obtain computer-generated torus knot trajectories

Keywords

limit cycles; nonlinear network synthesis; piecewise-linear techniques; relaxation oscillators; Van der Pol realization; computer-generated torus knot trajectories; limit cycles; nonlinear oscillators; piecewise-linear negative resistor; piecewise-linear theory; torus knot oscillators; Coupling circuits; Density estimation robust algorithm; Equations; Frequency; Humans; Limit-cycles; Operational amplifiers; Oscillators; Piecewise linear techniques; Robot kinematics;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.1724

Filename

1724

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=806657