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1	The Dynamics of Twisted Tent Maps Chamblee, Stephen Joseph 12 July 2013 (has links) Indiana University-Purdue University Indianapolis (IUPUI) / This paper is a study of the dynamics of a new family of maps from the complex plane to itself, which we call twisted tent maps. A twisted tent map is a complex generalization of a real tent map. The action of this map can be visualized as the complex scaling of the plane followed by folding the plane once. Most of the time, scaling by a complex number will \twist" the plane, hence the name. The "folding" both breaks analyticity (and even smoothness) and leads to interesting dynamics ranging from easily understood and highly geometric behavior to chaotic behavior and fractals. twisted tent map complex dynamical system dynamics fractal coded-coloring escape-time fold folding reflect filled-in Julia set twisted tent map TTM complex plane polygon Fractals Julia sets Symbolic dynamics Twist mappings (Mathematics) Chaotic behavior in systems