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An alternative approach for chaos: A plane pendulum with oscillating torque

✍ Scribed by Chunqing Lu

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
217 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

The shooting method is applied to obtain chaotic motions for a pendulum with a oscillatory torque excitation on its support. It shows that if the pendulum is placed at certain spots, the corresponding motion will become chaotic. It proves the coexistence of uncountably many non-periodic motions and countably many periodic motions of the pendulum.

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