Symbolic dynamics in investigation of quaternionic Julia sets

Mitja Lakner, Marjeta Škapin-Rugelj, Peter Petek

Type: Article

Publication Date: 2004-12-16

Citations: 10

DOI: https://doi.org/10.1016/j.chaos.2004.09.067

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Locations

Chaos Solitons & Fractals - View

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Works That Cite This (10)

Action	Title	Year	Authors
+	Dynamics of the coquaternionic maps x2 + bx	2022	M. I. Falcão Fernando Miranda Ricardo Severino Maria Joana Soares
+	GENERATION OF 3D JULIA SETS FROM SWITCHING POLYNOMIAL MAPS	2009	Jin Cheng Jianrong Tan Chunbiao Gan
+	Hyperdimensional generalized M–J sets in hypercomplex number space	2013	Xingyuan Wang Tao Jin
+	The general quaternionic M–J sets on the mapping <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si49.gif" display="inline" overflow="scroll"><mml:mi>z</mml:mi><mml:mo>←</mml:mo><mml:msup><mml:mrow><mml:mi>z</mml:mi></mml:mrow><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mspace width="0.2777em" /><mml:mrow><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>∈</mml:mo><mml:mstyle mathvariant="bold"><mml:mi>N</mml:mi></mml:mstyle><mml:mo>)</…	2007	Xingyuan Wang Yuanyuan Sun
+	The generalized M–J sets for bicomplex numbers	2012	Xingyuan Wang Wen-jing Song
+ PDF Chat	Basins of attraction for a quadratic coquaternionic map	2017	M. I. Falcão Fernando Miranda Ricardo Severino Maria Joana Soares
+ PDF Chat	ITERATION OF QUADRATIC MAPS ON MATRIX ALGEBRAS	2012	Alexandra Nascimento Baptista C. Correia Ramos Nuno Martins
+	QUATERNION M SET WITH NONE ZERO CRITICAL POINTS	2009	Yuanyuan Sun Xingyuan Wang
+	Global invariant manifolds	2005	Mitja Lakner Marjeta Škapin-Rugelj
+	Noise-perturbed quaternionic Mandelbrot sets	2009	Yueping Sun X. Y. Wang

Works Cited by This (14)

Action	Title	Year	Authors
+	Global invariant manifolds	2005	Mitja Lakner Marjeta Škapin-Rugelj
+	Associators in generalized octonionic maps	1993	C.J. Griffin G. C. Joshi
+	ITERATION OF QUATERNION MAPS	1995	S. Bedding Keith Briggs
+	Iteration of Quaternion Functions	1996	S. Bedding Keith Briggs
+	DYNAMICS OF A FAMILY OF QUADRATIC MAPS IN THE QUATERNION SPACE	2005	Shizuo Nakane
+	Transition points in octonionic Julia sets	1993	C.J. Griffin G. C. Joshi
+	Generalisation of the Mandelbrot set to integral functions of quaternions	1999	Jagannathan Gomatam Isobel McFarlane
+	Octonionic Julia sets	1992	C.J. Griffin G. C. Joshi
+	Generalization of the Mandelbrot set: Quaternionic quadratic maps	1995	Jagannathan Gomatam John F. Doyle B. A. Steves Isobel McFarlane
+	Iteration of a quaternionic quadratic family	1996	Meta Škapin-Rugelj