Titlebook: Nonlinear Dynamical Systems in Engineering; Some Approximate App Vasile Marinca,Nicolae Herisanu Book 2011 Springer-Verlag Berlin Heidelber

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书目名称Nonlinear Dynamical Systems in Engineering影响因子(影响力)




书目名称Nonlinear Dynamical Systems in Engineering影响因子(影响力)学科排名




书目名称Nonlinear Dynamical Systems in Engineering网络公开度




书目名称Nonlinear Dynamical Systems in Engineering网络公开度学科排名




书目名称Nonlinear Dynamical Systems in Engineering被引频次




书目名称Nonlinear Dynamical Systems in Engineering被引频次学科排名




书目名称Nonlinear Dynamical Systems in Engineering年度引用




书目名称Nonlinear Dynamical Systems in Engineering年度引用学科排名




书目名称Nonlinear Dynamical Systems in Engineering读者反馈




书目名称Nonlinear Dynamical Systems in Engineering读者反馈学科排名

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https://doi.org/10.1007/978-3-642-22735-6Harmonic balance; Krylov and Bogolyubov method of; Lindstedt-Poincaré; Multiple scales; auxiliary funct

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Introduction,Most nonlinear phenomena are models of our real-life problems. The world around us is inherently nonlinear. A vast body of scientific knowledge has developed over a long period of time, devoted to a description of natural phenomena.

DEVIL

,Perturbation Method: Lindstedt-Poincaré,We seek an expansion that is valid for small but finite amplitude motions. It is convenient to introduce a small, dimensionless parameter e which is of the order of the amplitude of the motion and can be used as a crutch, or a bookkeeping device, in obtaining the approximate solution [22,33–35].

interior

The Method of Harmonic Balance,This method may be used to determine the approximate periodic solutions of nonlinear differential equations. If a periodic solution does exist, it may be sought in the form of a Fourier series, whose coefficients are determined by requiring the series to satisfy the equation of motion.

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高射炮

Condescending

Optimal Parametric Iteration Method,The most common and most widely studied methods for determining analytical approximate solutions of a nonlinear dynamical system are iteration methods.

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