Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:3-1-2
Session:
Number:3-1-2-2
3-dimensional Chaotic Dynamics on Jacobian Elliptic Space Curve
Tohru Kohda,
pp.537-540
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
Sufficient conditions have been recently given for a classs of ergodic maps of an interval onto itself: I = [0, 1] ⊂ R1 → I and its associated binary function to generate a sequence of independent and idetically distributed (i.i.d.) random variables. Jacobian elliptic Chebyshev map, its derivative and second derivative induce Jacobian elliptic space curve. A mapping of the space curve onto itself: R3 → R3 is introduced which defines 3 projective onto mappings, represented in the form of rational functions of xn, yn,zn and gives a 3-dimensional sequence of i.i.d. random vectors.