Effects of non-denumerable fixed points in finite dynamical systems
Chaotic Dynamics
2015-06-26 v3
Abstract
The motion of a spinning football brings forth the possible existence of a whole class of finite dynamical systems where there may be non-denumerably infinite number of fixed points. They defy the very traditional meaning of the fixed point that a point on the fixed point in the phase space should remain there forever, for, a fixed point can evolve as well! Under such considerations one can argue that a free-kicked football should be non-chaotic.
Cite
@article{arxiv.nlin/0611033,
title = {Effects of non-denumerable fixed points in finite dynamical systems},
author = {Sagar Chakraborty and J. K. Bhattacharjee},
journal= {arXiv preprint arXiv:nlin/0611033},
year = {2015}
}
Comments
This paper is a replaced version to modify the not-so-true claim, made unknowingly in the earlier version, of being first to propose the peculiar dynamical systems as described in the paper. With respect to the original workers, we present here our original findings