Study of Complexities in Bouncing Ball Dynamical System
Journal Title: Journal of Applied Computer Science & Mathematics - Year 2016, Vol 10, Issue 21
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
A Formal Verification Model for Performance Analysis of Reinforcement Learning Algorithms Applied to Dynamic Networks
Routing data packets in a dynamic network is a difficult and important problem in computer networks. As the network is dynamic, it is subject to frequent topology changes and is subject to variable link costs due to cong...
In this article, we propose a two-dimensional polynomial basis which extends Legendre series approximation to bivariate functions. We also present a theoretical study of the stability and the error estimation of the Ta...
IT&C used by Individuals and Economic Development in Romania - Application of Cointegration and Vector Error Correction Model
Since the first decade of the 21st century, information and communication technology has become both a tool for the individual and, in many cases, a way of life. Undoubtedly, the Internet has revolutionized the society i...
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 (...
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...
How To Cite
SAHA Lal Mohan, SARMA Til Prasad, DIXIT Purnima (2016). Study of Complexities in Bouncing Ball Dynamical System. Journal of Applied Computer Science & Mathematics, 10(21), 46-50. https://europub.co.uk/articles/-A-444170