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Dynamics

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Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

In this chapter, we turn our attention to continuous dynamical systems, which are governed by first and second order linear systems of ordinary differential equations. Such systems, whose unvarying equilibria were the subject of Chapter 6, include the dynamical motions of mass–spring chains and structures, and the time–varying voltages and currents in simple electrical circuits. Dynamics of continuous media, including fluids, solids, and gases, are modeled by infinite–dimensional dynamical systems described by partial differential equations, [61, 79], and will not be treated in this text, nor will we venture into the vastly more complicated realm of nonlinear dynamics, [34, 41].

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  • DOI: 10.1007/978-3-319-91041-3_10
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Olver, P.J., Shakiban, C. (2018). Dynamics. In: Applied Linear Algebra. Undergraduate Texts in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-91041-3_10

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