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

DOMINIK KAWALEC,ANDRZEJ PAŹDZIERKO,K. Kułakowski-2003-04-01-SHILAP Revista de lepidopterología
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TL;DRAbstract

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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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

ChaoticPendulumNonlinear systemDouble pendulumPoincaré mapInstabilityClassical mechanicsChaotic mixing

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