DocumentCode :
788762
Title :
Generalized isocline method of plotting phase-plane trajectories
Author :
Deekshatulu, B.L. ; Murphy, I.
Author_Institution :
Indian Institute of Science, Bangalore, India
Volume :
10
Issue :
1
fYear :
1965
fDate :
1/1/1965 12:00:00 AM
Firstpage :
90
Lastpage :
92
Abstract :
By considering simultaneously the N-x (or the N-\\dot{x} ), where N=\\ddot{x}/dx and the \\dot{x}-x planes, second order non-linear autonomous systems (not easily amendable to the existing methods) described by the differential equation \\ddot{x}=F(x, dot{x}) can be studied. Changes in system behavior due to changes in initial conditions, nonlinear dampling and restoring forces can easily be studied. Simple and general as it is, the method presented here is believed to be novel.
Keywords :
Nonlinear systems; Damping; Differential equations; Nonlinear equations; Nonlinear systems; Variable speed drives;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1965.1098064
Filename :
1098064
Link To Document :
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