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Decay of Unstable Equilibria

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Book cover Lasers and Synergetics

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 19))

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Abstract

There is no simpler dynamical problem than that of the overdamped pendulum. Its equation of motion

$$\mathop{{\Theta = \frac{1}{\tau }}}\limits^{ \bullet } \sin \Theta $$

is solved by

$$\tan \frac{{\Theta (t)}}{2} = {{e}^{{t/\tau }}}\tan \frac{{{{\Theta }_{0}}}}{2} $$

.

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Author information

Authors and Affiliations

  1. Fachbereich Physik, Universitat-GHS Essen, D-4300, Essen, Fed. Rep. of Germany

    F. Haake

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  1. F. Haake
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Editor information

Editors and Affiliations

  1. Fachbereich 7, Universitäts-Gesamthochschule, Postfach 103764, D-4300, Essen, Fed. Rep. of Germany

    Robert Graham

  2. Institut für Theor.Physik, Universität, Pfaffenwaldring 57/IV, D-7000, Stuttgart 80, Fed. Rep. of Germany

    Arne Wunderlin

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© 1987 Springer-Verlag Berlin Heidelberg

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Haake, F. (1987). Decay of Unstable Equilibria. In: Graham, R., Wunderlin, A. (eds) Lasers and Synergetics. Springer Proceedings in Physics, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72758-0_7

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  • DOI: https://doi.org/10.1007/978-3-642-72758-0_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-72760-3

  • Online ISBN: 978-3-642-72758-0

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