DocumentCode
115965
Title
Exploration of analytical solutions of nonlinear oscillatory systems via the decomposition method
Author
Najafi, Mahmoud ; Fincher, Donald
Author_Institution
Dept. of Math., Kent State Univ. Ashtabula, Ashtabula, OH, USA
fYear
2014
fDate
15-17 Dec. 2014
Firstpage
5587
Lastpage
5592
Abstract
The Adomian decomposition method and the Laplace transformation are employed to analyze approximate closed form solutions of nonlinear oscillatory systems as well as a hyperbolic system, investigating their response to various initial conditions and damping coefficients.
Keywords
Laplace transforms; nonlinear control systems; relaxation oscillators; Adomian decomposition method; Laplace transformation; approximate closed form solutions; damping coefficients; hyperbolic system; nonlinear oscillatory systems; Approximation methods; Closed-form solutions; Damping; Laplace equations; Mathematical model; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location
Los Angeles, CA
Print_ISBN
978-1-4799-7746-8
Type
conf
DOI
10.1109/CDC.2014.7040263
Filename
7040263
Link To Document