Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897262 | Physica D: Nonlinear Phenomena | 2008 | 6 Pages |
Abstract
We consider periodic and chaotic dynamics of discrete nonlinear maps in the presence of dynamical noise. We show that dynamical noise corrupting dynamics of a nonlinear map may be considered as a measurement “pseudonoise” with the distribution determined by the Jacobian of the map. The formula for the distribution of the measurement “pseudonoise” for one-dimensional quadratic maps has also been obtained in an explicit form. We expect that our results apply to an arbitrary distribution of low-level dynamical noise and hope that these results could help to find a universal method of discriminating dynamical from measurement noise.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Marek Strumik, Wiesław M. Macek,