Effects of non-denumerable fixed points in finite dynamical systems

Details Effects of non-denumerable fixed points in finite dynamical systems Effects of non-denumerable fixed points in finite dynamical systems

2006-11-16

arxiv.org/abs/nlin/0611033v3

Chaos 18, 013124 (2008)

Nonlinear Sciences

Chaotic Dynamics

This paper is a replaced version to modify the not-so-true claim, made unknowingly in the earlier version, of being first to p

Scientific paper

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.

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