Extensible Pendulum




[for E=1.036, rho=1.92]
  • Chaos (1)
  • Torus (1 / 2)

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



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