Extensible Pendulum

If the above application does not start, please see "about Java environment".

By downloading extensiblependulum.jar, you can runthe simulator in the local environment.
[for E=1.036, rho=1.92]

Let's consider the extensible pendulum as shown in the above figure.

For , the following differential equation holds.

where and k is the stiffness.

This simulator numerically integrates the above differential equation and visualizes its dynamics.
Similarly to the double pendulum simulator, chaos can be observed for some initial conditions and parameters.
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Introduction to Chaos and Nonlinear Dynamics