Archive

Publication for Volume-3 Issue-8, July 2018

Title
:
Dynamics in an Undamped Series RLC Circuit
Article Type
:
Research Article
Author Name(s)
:
Dr. A. George Maria Selvam, Sacred Heart College ; D. Vignesh ,Sacred Heart College
Country
:
India
Research Area
:
Mathematics
A two dimensional model of Series RLC circuit is considered for discussion. The system possess only the trivial equilibrium point and local stability conditions are obtained. The phase portraits are obtained for suitable parameter values. Oscillations and damping effects are illustrated with numerical examples.
Keywords : LCR Circuit, Differential Equations, Oscillation, Numerical Simulation, Stability
[1]	R.Murali and A. PonmanaSelvan, “Ulam stability of a LCR Electric Circuit with Electromotive Force”, Int. J. Math. and its Appl., 6(1)(2018), (special Issue), 61-66.
[2]	V.K.Mehta, Rohit Mehta, “Principles of Electronics”, S.Chand& Company Pvt.Limited, Eleventh Edition, ISBN-81-219-2450-2, 2013.
[3]	R.S.Sedha, “A Textbook of Applied Electronics”, S.Chand& Company Pvt.Limited, Third Edition, ISBN-81-219-2783-8, 2012.
[4]	Dennis G. Zill, “A First Course in Differential Equations with Modelling Applications”, Brooks/cole, ISBN-13: 978-0-495-10824-5, ISBN-10: 0-495-10824-3, Ninth Edition, 2009.
[5]	https://en.m.wikipedia.org/wiki/RLC circuit
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