Study of Complexities in Bouncing Ball Dynamical System
Evolutionary motions in a bouncing ball system consisting of a ball having a free fall in the Earth’s gravitational field have been studied systematically. Because of nonlinear form of the equations of motion, evolutions show chaos for certain set of parameters for certain initial conditions. B...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Stefan cel Mare University of Suceava
2016-04-01
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| Series: | Journal of Applied Computer Science & Mathematics |
| Subjects: | |
| Online Access: | http://jacsm.ro/view/?pid=21_8 |
| Summary: | Evolutionary motions in a bouncing ball system
consisting of a ball having a free fall in the Earth’s gravitational
field have been studied systematically. Because of nonlinear
form of the equations of motion, evolutions show chaos for
certain set of parameters for certain initial conditions.
Bifurcation diagram has been drawn to study regular and
chaotic behavior. Numerical calculations have been performed
to calculate Lyapunov exponents, topological entropies and
correlation dimension as measures of complexity. Numerical
results are shown through interesting graphics. |
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| ISSN: | 2066-4273 2066-3129 |