万能
发表于 2025-3-21 17:34:55
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MUTED
发表于 2025-3-21 20:54:10
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向外供接触
发表于 2025-3-22 04:10:34
https://doi.org/10.1007/978-3-642-22735-6Harmonic balance; Krylov and Bogolyubovmethod of; Lindstedt-Poincaré; Multiple scales; auxiliary funct
美色花钱
发表于 2025-3-22 08:37:19
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
发表于 2025-3-22 10:52:09
,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 .
interior
发表于 2025-3-22 13:58:19
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.
杠杆
发表于 2025-3-22 19:34:59
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高射炮
发表于 2025-3-22 22:25:26
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Condescending
发表于 2025-3-23 04:04:32
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.
决定性
发表于 2025-3-23 09:20:34
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