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Nonlinear Dynamics

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Essentials of Applied Dynamic Analysis

Part of the book series: Risk Engineering ((RISK))

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Abstract

Many investigations start with linear models, in which the effects are assumed to be always proportional to their causes. This assumption greatly simplifies the problem since it enables a superposition of all relevant elementary cases, which are normally well handled by physical modeling and mathematical treatment [218]. In addition, most of the more advanced problems in scientific calculations require the solution of only linear systems, having real or complex coefficients, often of very large dimensions [219]. However, strictly speaking, proportional phenomena do not exist in the real world.

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Correspondence to Junbo Jia .

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© 2014 Springer-Verlag Berlin Heidelberg

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Jia, J. (2014). Nonlinear Dynamics. In: Essentials of Applied Dynamic Analysis. Risk Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37003-8_15

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  • DOI: https://doi.org/10.1007/978-3-642-37003-8_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37002-1

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