Title :
Recovering trajectories of chaotic piecewise linear dynamical systems
Author :
Aziz-Alaoui, M.A. ; Fedorenko, A.D. ; Lozi, R. ; Sharkovsky, A.N.
Author_Institution :
Le Havre Univ., France
Abstract :
The purpose of this paper is to present some results on recovering trajectories of chaotic dynamical systems from their ε-perturbed trajectories. Such a mathematical problem appears to be equivalent to the extraction of an information bearing signal from an input signal, to the reduction of a noise in an input signal, etc
Keywords :
chaos; nonlinear dynamical systems; piecewise-linear techniques; signal detection; chaotic systems; noise reduction; perturbed trajectories; piecewise linear dynamical systems; signal extraction; trajectory recovering; Chaos; Chaotic communication; Data mining; Decoding; Mathematics; Noise reduction; Piecewise linear techniques; Shadow mapping; Trajectory;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.631332