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TASK Quarterly
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  2. TASK Quarterly
  3. Vol. 7 No. 2 (2003)
  4. NUMERICAL SIMULATION OF THE CHAOTIC BEHAVIOUR OF A THREE-DIMENSIONAL PENDULUM

NUMERICAL SIMULATION OF THE CHAOTIC BEHAVIOUR OF A THREE-DIMENSIONAL PENDULUM

Abstract

A nonlinear pendulum is designed to demonstrate the chaotic instability of trajectories. Here, we present a simplified theoretical description of its dynamics. Trajectories are found by numerical integration of the Lagrange equations. The results of the simulations agree with the Poincar´e-Bendixon theorem. Generic trajectories display chaotic behaviour and are similar to those obtained experimentally

Keywords:

chaos, dynamical systems

Details

Issue
Vol. 7 No. 2 (2003)
Section
Research article
Published
2003-06-30
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors

  • DOMINIK KAWALEC

    University of Mining and Metallurgy, Faculty of Physics and Nuclear Techniques

  • ANDRZEJ PAŹDZIERKO

    University of Mining and Metallurgy, Faculty of Physics and Nuclear Techniques

  • KRZYSZTOF KUŁAKOWSKI

    University of Mining and Metallurgy, Faculty of Physics and Nuclear Techniques

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