Stability of differential equations associated with a class of one dimensional maps
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
Discrete time evolution of one-dimensional maps is embedded in continuous time by truncating the Taylor series expansion of the time evolution operator to a finite order N. Truncations with N > 4 leads to unconditional instability. Generalization of the truncated models with N = 3 and 4 shows dynamical behaviour characteristic of systems with a riddled parameter space.
Keywords
Cite
@article{arxiv.math-ph/0406043,
title = {Stability of differential equations associated with a class of one dimensional maps},
author = {M. C. Valsakumar and A. Rajan Nambiar and P. Rameshan},
journal= {arXiv preprint arXiv:math-ph/0406043},
year = {2009}
}
Comments
6 pages, no figures