Study of Complexities in Bouncing Ball Dynamical System
Journal Title: Journal of Applied Computer Science & Mathematics - Year 2016, Vol 10, Issue 21
Abstract
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.
Authors and Affiliations
SAHA Lal Mohan, SARMA Til Prasad, DIXIT Purnima
Keywords
Related Articles
- EP ID EP444170
- DOI 10.4316/JACSM.201601008
- Views 401
- Downloads 0
Novel Kernel to Diagnose Dermatological Disorders
Development of computer aided system to diagnose dermatological disorders works as a second opinion when skin diseases have very little differences in clinical features. Support Vector Machine (SVM) is a good classifier...
Dynamic Lyapunov Indicator (DLI): A Perfect indicator for Evolutionary System
Recently proposed indicators along with their abilities for identification of chaotic motion have been described. These are Fast Lyapunov Exponents (FLI), Smaller Alignment Indices (SALI) and Dynamic Lyapunov Indicator (...
Novel Crypting Methods Based on Singular Values Decomposition
With the rapid development of multimedia exchanges, it is necessary to dispose secure systems to protect data and ensure the security of transfer. Two encryption schemes are proposed in this letter where the second is ob...
Kalman Filters for Estimating the potential GDP
The estimation of the potential GDP has a twofold importance: on one hand its accurate estimation allows the correct dimensioning of the macroeconomic policies and on the other hand, the study of potential GDP is a resea...
Developing a Mathematical Model to Estimate the Intensity of the Global Radiation
–This research aimed to create an empirical mathematical model to estimate the average monthly of total daily radiation of the global radiation in the middle of northeast Thailand. The model showed the ratio of the month...