NUMERICAL SIMULATION OF THE CHAOTIC BEHAVIOUR OF A THREE-DIMENSIONAL PENDULUM
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Gdańsk University of Technology
2003-04-01
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| Series: | TASK Quarterly |
| Subjects: | |
| Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2199 |
| Summary: | 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
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| ISSN: | 1428-6394 |