A pendulum whose support is subjected to a periodic non-harmonic oscillation in the vertical direction is considered. The subharmonic Melnikov functions for the oscillating and for the rotating motions are explicitly constructed. It is shown that both functions converge towards the homoclinic Melnik
Symmetry breaking bifurcations of a parametrically excited pendulum
β Scribed by B. P. Mann; M. A. Koplow
- Book ID
- 106486475
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 406 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0924-090X
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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.
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 using the Poincare' map and provides more information about when the chaos occurs. It proves that more chaotic solutions exit.