TITLE:
Investigation of the Quaternion Dynamical System
AUTHORS:
Yasmin Omar
KEYWORDS:
Quaternion Algebra, Mandelbrot Set, Qaternion Dynamical System, Equilibrium Points; Stability, Lyapunov Exponents
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.1,
January
25,
2017
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.