Abstract
So far, we have considered the stability of an equilibrium point x 0 by investigating the behavior of the trajectories in the vicinity of this point. Now we are interested in the environment of a time-dependent reference trajectory x r (t). The former case of a stationary fixed point x r (t)=x 0=constant is of course included too. One may again distinguish between various kinds of stability. Stability in the sense of Lyapunov exists if a point on a neighboring trajectory x(t) remains close to x r (t) for all times.
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© 2010 Springer-Verlag Berlin Heidelberg
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Greiner, W. (2010). Stability of Time-Dependent Paths. In: Classical Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03434-3_24
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DOI: https://doi.org/10.1007/978-3-642-03434-3_24
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03433-6
Online ISBN: 978-3-642-03434-3
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