Investigation of the Quaternion Dynamical System - Journal of Applied Mathematics and Physics

JAMP > Vol.5 No.1, January 2017

Journal of Applied Mathematics and Physics

Volume 5, Issue 1 (January 2017)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 1.00 Citations

Investigation of the Quaternion Dynamical System ()

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DOI: 10.4236/jamp.2017.51014 1,419 Downloads 2,353 Views Citations

Author(s)

Yasmin Omar

Affiliation(s)

Department of Mathematics, Faculty of Science, Damietta University, Damietta, Egypt.

ABSTRACT

The quaternion Mandelbrot set is one of the most important sets in mathematics. In this paper we first give some properties of the quaternion algebra. Then, we introduce the quternion dynamical system. We are concerned with analytical and numerical investigation of the quaternion dynamical system.

KEYWORDS

Quaternion Algebra, Mandelbrot Set, Qaternion Dynamical System, Equilibrium Points; Stability, Lyapunov Exponents

Share and Cite:

Omar, Y. (2017) Investigation of the Quaternion Dynamical System. Journal of Applied Mathematics and Physics, 5, 131-136. doi: 10.4236/jamp.2017.51014.

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