Exploration of analytical solutions of nonlinear oscillatory systems via the decomposition method

机译：用分解法探索非线性振动系统解析解

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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.

机译：采用Adomian分解方法和Laplace变换来分析非线性振动系统和双曲系统的近似闭合形式解，研究它们对各种初始条件和阻尼系数的响应。

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《IEEE Annual Conference on Decision and Control》|2014年|5587-5592|共6页
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Najafi Mahmoud; Fincher Donald;
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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;

机译：拉普拉斯变换;非线性控制系统;松弛振荡器; Adomian分解方法;拉普拉斯变换;近似闭合形式解;阻尼系数;双曲系统;非线性振动系统;近似方法;闭合形式解;阻尼;拉普拉斯方程;数学模型;多项式;

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5. Monotone methods for analytic and numerical solutions of reaction diffusion systems. [D] . Yang, Zhiping. 1998

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8. Differential Equations Having Rapidly Changing Solutions: Analytic Methods for Weakly Nonlinear Systems. [R] . Hoppensteadt, F. C., Miranker, W. L. 1974

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Exploration of analytical solutions of nonlinear oscillatory systems via the decomposition method

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