Title :
Fractal properties of chaotic dynamical systems in reverse time and its applications
Author :
Tomashevsky, A.I. ; Kapranov, M.V.
Author_Institution :
Dept. of Generation of Oscillations & Signals, Moscow Power Eng. Inst., Russia
Abstract :
The dynamical process properties of chaotic discrete map in reverse time is considered. This approach is connected with inverse problem of nonlinear dynamics. The fractal structure of reverse iteration points is investigated. Several types of ordering of the reverse points manifold are proposed.
Keywords :
chaotic communication; fractals; inverse problems; iterative methods; nonlinear dynamical systems; chaotic discrete map; chaotic dynamical system; fractal properties; fractal structure; inverse problem; nonlinear dynamics; reverse iteration point; Chaos; Chaotic communication; Cryptography; Fractals; Inverse problems; Nonlinear dynamical systems; Power engineering; Power engineering and energy; Power generation; Signal generators;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1514024
