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


Related Articles

Bipolar – Valued Q – Fuzzy Hx Subgroup on an Hx Group

In this paper, we define the algebraic structures of a bipolar Q – fuzzy sub HX group and some related properties are investigated. We also define a bipolar Q – fuzzy normalizer and establish the relation with a bipolar...

Improvement of Gregory’s Formula Using Artificial Bee Colony Algorithm

Solving numerical integration is an important question in scientific calculations and engineering. Gregory’s method is among the very first quadrature formulas ever described in the literature, dating back to James Gregory...

Enhanced White Cane for Visually Impaired People

ccording to WHO (World Health Organization) statistics, around 285 billion people in the world have visual impairment. They find difficulty in doing their everyday tasks and detecting objects in front of them that can be...

Secure and Efficient Diffusion Layers for Block Ciphers

Abstract–Modern block ciphers are designed to meet confusion and diffusion criteria. Substitution and permutation layers are used in the round function for this purpose. In this paper, we present a number of choices for...

Real World Applications of MGR, Neeva and KN-Hash

Hash functions have prominent role in cryptography because of their ubiquitous applications in real world. Earlier, it was used for authentication only but with continuous research and development, it has been started us...

Download PDF file
  • EP ID EP444170
  • DOI 10.4316/JACSM.201601008
  • Views 103
  • Downloads 0

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.