The shooting method is applied to prove that a pendulum with oscillatory forcing makes chaotic motions for certain parameters. The method is more intuitive than an using the PoincareΓ map and provides more information about when the chaos occurs. It proves that more chaotic solutions exit.
Chaotic behavior of a parametrically excited nonlinear mechanical system
β Scribed by J.-M. Malasoma; C.-H. Lamarque; L. Jezequel
- Publisher
- Springer Netherlands
- Year
- 1994
- Tongue
- English
- Weight
- 446 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0924-090X
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β¦ Synopsis
The chaotic dynamics of a single-degree-of-freedom nonlinear mechanical system under periodic parametric excitation is investigated. Besides the well known type-I and type-III intermittent transitions to chaos we give numerical evidence that the system can follow an alternative route to chaos via intermittency from an equilibrium state to a chaotic one, which was not found in the previous simulations of the dynamics of the system.
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