Title :
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
fDate :
2/1/1988 12:00:00 AM
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;
Journal_Title :
Circuits and Systems, IEEE Transactions on
