Title :
Statistical properties of chaotic sequences generated by Jacobian elliptic Chebyshev rational maps
Author_Institution :
Dept. Comput. Sci. & Commun. Engg, Kyushu Univ., Fukuoka, Japan
Abstract :
Jacobian elliptic Chebyshev map is introduced as a rational version of Chebyshev polynomial, whose invariant measure is defined by homeomorphism of tent map. Such an elliptic function and its derivative, another elliptic function, induce Jacobian elliptic Chebyshev curve. Real-valued orbits on such a curve provide uniform distribution and give sequences of i.i.d. 2D binary random variables.
Keywords :
Chebyshev approximation; binary sequences; chaotic communication; statistical distributions; Chebyshev polynomial; Jacobian elliptic Chebyshev curve; Jacobian elliptic Chebyshev maps; binary random variable sequences; chaotic sequences; elliptic function; iid 2D binary random variables; invariant measure; rational polynomial version; real-valued orbits; statistical properties; tent map homeomorphism; uniform distribution; Chaos; Chaotic communication; Chebyshev approximation; Computer science; Extraterrestrial measurements; Jacobian matrices; Logistics; Orbits; Polynomials; Random variables;
Conference_Titel :
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN :
0-7803-8251-X
DOI :
10.1109/ISCAS.2004.1329891
