Bekbaev, Ural
(2013)
*An iteration problem.*
Journal of Physics: Conference Series, 435.
pp. 1-4.
ISSN 1742-6588 (P), 1742-6596 (O)

PDF
- Published Version
Restricted to Registered users only Download (552kB) | Request a copy |

## Abstract

Let F stand for the feld of real or complex numbers, \phi : F^n\rightarrow F^n be any given polynomial map of the form \phi(x) = x + "higher order terms". We attach to it the following operator D : F[x]\rightarrow F[x] defined by D(f) = f-f\circle\phi, where F[x] = F[x_1; x_2; ...; x_n]- the F-algebra of polynomials in variables x_1; x_2;...; x_n, f \in F[x] and \circle stands for the composition(superposition) operation. It is shown that trajectory of any f\in F[x] tends to zero, with respect to a metric, and stabilization of all trajectories is equivalent to the stabilization of trajectories of x_1; x_2;...; x_n.

Item Type: | Article (Journal) |
---|---|

Additional Information: | 6830/32609 |

Subjects: | Q Science > QA Mathematics |

Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): | Kulliyyah of Engineering > Department of Science |

Depositing User: | Associate Prof. Ural Bekbaev |

Date Deposited: | 08 Nov 2013 10:43 |

Last Modified: | 08 Nov 2013 10:43 |

URI: | http://irep.iium.edu.my/id/eprint/32609 |

### Actions (login required)

View Item |