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Chaos of a parametrically excited undamped pendulum |
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| Institution: | 1. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy;2. Fac. Ciências da Univ. de Lisboa e Centro de Matemática, Aplicações Fundamentais e Investigação Operacional, Campo Grande, Edifício C6, piso 2, P-1749-016 Lisboa, Portugal;1. Department of Mechanical Engineering, Texas Tech University, Lubbock, TX, 79409-1021, USA;2. Department of Mechanical and Manufacturing Engineering, University of Ruhuna, Hapugala, Galle 80000, Sri Lanka |
| Abstract: | 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. |
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