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Gomatam, J., Doyle, J., Steves, B. and Mcfarlane, I. (1995) Generalization of the Mandelbrot Set: Quaternionic Quadratic Maps. Chaos, Solitonr and Fractals, 5, 971-986.
https://doi.org/10.1016/0960-0779(94)00163-K

has been cited by the following article:

• 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.