MATHEMATICS DEPARTMENT
North Carolina State University

Differential Equations Seminar

Wednesday,  April 24,  2002
2:35 p.m.  330 Harrelson Hall

Dipendra C. Sengupta

Department of Mathematics and Computer Science

Elizabeth City State University

"Communicating with Chaos"

Abstract


Chaos is deterministic. The observation of Pecora and Carrol (from US Navy) that two chaotic systems can be synchronized has generated tremendous interest in transmitting information from one location to another using a wideband chaotic signal. The receiver contains a second chaotic system that produces an identical chaotic signal but without the encoded message, enabling the transmitted message to be extracted from the chaos. First, message recovery relies on the ability of coupled chaotic systems to synchronize or produce identical chaotic behavior. Second, message encoding utilize chaos control or small perturbations to stabilize one of the many unstable periodic behaviors typically displayed by chaotic systems. In this talk, the speaker will discuss the application of chaos in communication (especially, digital communication) and a modulation and demodulation scheme for digital information. Two types of chaotic oscillators will be considered: a discrete chaotic generator, described by maps (for example, logistic map) and a continuous time generator described by a system of differential equations (for example, nonlinear Chua's electronic circuit).


Graduate students are invited to attend