Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0938.37019
Pecora, Louis; Carroll, Thomas L.
Synchronization in chaotic systems. (English)
[J] Phys. Rev. Lett. 64, No.8, 821-824 (1990).

The paper opens a new direction of research, which promises to be very exciting. The authors derive an exceptional result concerning certain phenomena, that appeared intractable. Thus, although chaotic systems would seem to defy synchronization, certain subsystems can be made to synchronize by linking them with common signals. The condition is that the signs of the Lyapunov exponents for the subsystems are all negative. By synchronization it is understood that the trajectories of one of the systems converge to the same values as those of the other and that they then remain in step with each other. As the authors show, the synchronization appears to be structurally stable. The authors have investigated these phenomena on several models and in this paper they give the results for the Roessler and Lorenz attractors. They also briefly mention the construction of a real set of chaotic synchronizing circuits and some experimental results.
[Emanuel Cristian Savin (MR 92c:58082)]

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
37N35 Dynamical systems in control
94C05 Analytic circuit theory

Keywords: synchronization; Lyapunov exponents; chaotic synchronizing circuits

Cited in: Zbl 1047.92054 Zbl 1036.94002 Zbl 1055.34506

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]