Nonlinear dynamics of a sinusoidally driven pendulum in a repulsive magnetic field
作者:
Azad Siahmakoun,
Valentina A. French,
Jeffrey Patterson,
期刊:
American Journal of Physics
(AIP Available online 1997)
卷期:
Volume 65,
issue 5
页码: 393-400
ISSN:0002-9505
年代: 1997
DOI:10.1119/1.18546
出版商: American Association of Physics Teachers
关键词: 05.45
数据来源: AIP
摘要:
The dynamics of a sinusoidally driven pendulum in a repulsive magnetic field is investigated theoretically and experimentally. The experimental data are acquired using a shaft encoder interfaced to a PC which measures the angular displacement of the pendulum as a function of time. Both the theoretical simulations and the experimental measurements exhibit regions of periodic and chaotic behavior, depending on the system parameters. Amplitude jumps, hysteresis, and bistable states are also observed. The simplicity of the apparatus makes this experiment suitable for an advanced undergraduate laboratory.
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