Pendula Simulator
Copyright (C) 1994-2004 Taiji Yamada <taiji@aihara.co.jp> All
rights reserved.
Revision: 2004.02.17
References:
- Nikolaus Rott, ``A Multiple Pendulum for the Demonstration of
Non-Linear Coupling,'' ZAMP, Vol.21, pp. 570--582, 1970.
- P. H. Richter & H.-J. Scholz, ``Chaos in Classical Mechanics:
The Double Pendulum,'' in ``Stochastic Phenomena and Chaotic Behavior
in Complex Systems (Ed. P. Schuster),'' Springer, Berlin, pp. 86--97,
1984.
- Daniel R. Stump, ``Solving classical mechanics problems by
numerical integration of Hamilton's equations,'' Am. J. Phys., 54, 12,
pp. 1096--1100, December 1986.
- M. E. Henderson, M. Levi & F. Odeh, ``The Geometry and
Computation of the Dynamics of Coupled Pendula,'' International Journal
of Bifurcation and Chaos, 1, 1, pp. 27--50, 1991.
- Troy Shinbrot, Celso Grebogi, Jack Wisdom & James A. Yorke,
``Chaos in a Double Pendulum,'' Am. J. Phys., 60, 6, pp. 491--499, June
1992.
- A. C. Skeldon, ``Dynamics of a Parametrically Excited Double
Pendulum,'' Physica D, 75, pp. 541--558, 1994.
- David Acheson, ``From Calculus to Chaos --- An Introduction to
Dynamics,'' Oxford University Press, New York, 1997.
- J. Stoer & R. Bulirsch, ``Introduction to Numerical Analysis,
Third Edition,'' Springer-Verlag, New York, 2002.
- Taiji Yamada, ``Mechanics of Chaos Man,''
http://www.aihara.co.jp/~taiji/pendula-equations/, 1996-2004.
Limitation of Liability:
To the extent not prohibited by law, in no event will Taiji Yamada be
liable for any lost revenue, profit or data, or for special, direct,
indirect, consequential, incidental or punitive damages however caused
and regardless of the theory of liability arising out of the use of or
inability to use this software, even if Taiji Yamada has been advised
of the possibility of such damages.