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
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;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7040263
