Title :
The Determination of Time Intervals on Phase-Plane Trajectories
fDate :
3/1/1966 12:00:00 AM
Abstract :
An analytical method is given for determining the time intervals between points on the phase-plane trajectory of linear second-order systems. The procedure uses the concept of elapsedtime loci and is particularly useful where nonlinear systems can be reduced to piecewise-linear form or where the forcing function is linearly time dependent.
Keywords :
Circuit theory; Damping; Differential equations; Frequency; Jacobian matrices; Nonlinear circuits; Nonlinear equations; Nonlinear systems; Piecewise linear techniques; Polynomials;
Journal_Title :
Education, IEEE Transactions on
DOI :
10.1109/TE.1966.4321934