Title :
Novel two dimensional discrete chaotic maps and simulations
Author :
Pei Li ; Lequan Min ; Yu Hu ; Geng Zhao ; Xiaodong Li
Author_Institution :
Sch. of Math. & Phys., Univ. of Sci. & Technol. Beijing, Beijing, China
Abstract :
This paper introduces one new novel 2-dimensional quadric polynomial discrete chaotic map and seven novel triangle function combination discrete chaotic maps (2D-TFCDM). The 2D-TFCDMs have at least one positive Lyapunov exponent. Extensive numerical simulations display the orbits of the 2D-TFCDMs to have different chaotic attractors.
Keywords :
Lyapunov methods; chaos; nonlinear functions; polynomials; 2-dimensional quadric polynomial discrete chaotic map; 2-dimensional triangle function combination discrete chaotic maps; 2D-TFCDM; chaotic attractors; numerical simulations; positive Lyapunov exponent; two dimensional discrete chaotic maps; two dimensional discrete simulations; Chaos; Educational institutions; Ellipsoids; Numerical simulation; Orbits;
Conference_Titel :
Information and Automation for Sustainability (ICIAfS), 2012 IEEE 6th International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1976-8
DOI :
10.1109/ICIAFS.2012.6419897
