Abstract
A unified theoretical description may be given for many of the systems of interest. A system is described by a finite set of dynamic variables that will be combined to a column vector. The state of the system at a given time t is uniquely described by such a point x in phase space. The x i are generalized coordinates that may represent a variety of quantities. Note that the vector x shall also comprise the velocities (or momenta, respectively). We now assume that the system behaves deterministically. Thus, the entire time evolution x(t) is determined if an initial value x(t 0) is given. The time evolution shall be described by a differential equation of first order with respect to time
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© 2010 Springer-Verlag Berlin Heidelberg
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Greiner, W. (2010). Dynamical Systems. In: Classical Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03434-3_23
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DOI: https://doi.org/10.1007/978-3-642-03434-3_23
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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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