| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4643073 | Journal of Computational and Applied Mathematics | 2007 | 6 Pages |
Abstract
We report on the first steps made towards the computational proof of the chaotic behaviour of the forced damped pendulum. Although, chaos for this pendulum was being conjectured for long, and it has been plausible on the basis of numerical simulations, there is no rigorous proof for it. In the present paper we provide computational details on a fitting model and on a verified method of solution. We also give guaranteed reliability solutions showing some trajectory properties necessary for complicate chaotic behaviour.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tibor Csendes, Balázs Bánhelyi, László Hatvani,