Title :
Chaotic dynamics of orthogonally projective triangle folding map
Author :
Nishimura, Jun ; Hayakawa, Tomohisa
Author_Institution :
Dept. of Mech. & Environ. Inf., Tokyo Inst. of Technol., Tokyo, Japan
Abstract :
Chaotic dynamics of orthogonally projective triangle folding map is analyzed. Based on our previous results, modify the way of folding the triangle to generalize the mapping in folding and expanding procedures to include the bifurcation parameters. It turns out that the map has k-periodic points for any integer k, and sensitivity to initial conditions.
Keywords :
bifurcation; chaos; computational geometry; bifurcation parameters; chaotic dynamics; expanding procedure; folding procedure; k-periodic points; orthogonally projective triangle folding map; Bifurcation; Chaos; Conferences; Mathematical model; Nonlinear dynamical systems; Orbits; Sensitivity;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039481
