■ REVIEW: Chaos Theory and Epilepsy

LD Iasemidis, JC Sackellares - The Neuroscientist, 1996 - journals.sagepub.com
Recently, interest has turned to the mathematical concept of chaos as an explanation for a
variety of complex processes in nature. Chaotic systems, among other characteristics, can …

Synchronization of chaotic systems and transmission of information

M Hasler - International Journal of Bifurcation and Chaos, 1998 - World Scientific
An overview over the methods currently under investigation for the transmission of
information hidden in a chaotic signal is given. First, the notion of synchronization is …

Synchronization of Lorenz-based chaotic circuits with applications to communications

KM Cuomo, AV Oppenheim… - IEEE Transactions on …, 1993 - ieeexplore.ieee.org
A circuit implementation of the chaotic Lorenz system is described. The chaotic behavior of
the circuit closely matches the results predicted by numerical experiments. Using the …

Chaos shift keying: modulation and demodulation of a chaotic carrier using self-synchronizing Chua's circuits

H Dedieu, MP Kennedy… - IEEE Transactions on …, 1993 - ieeexplore.ieee.org
Describes a technique for transmitting digital information using a chaotic carrier. Each
symbol to be transmitted is coded as an attractor in Chua's circuit. The symbols are detected …

Experimental demonstration of secure communications via chaotic synchronization

LJ Kocarev, KS Halle, K Eckert, LO Chua… - International Journal of …, 1992 - World Scientific
Secure communications via chaotic synchronization is experimentally demonstrated using
Chua's circuit. In our experiment the energy lost in the information-bearing signal is …

Chaos in the Colpitts oscillator

MP Kennedy - IEEE Transactions on circuits and systems I …, 1994 - ieeexplore.ieee.org
In this work, we present experimental results and SPICE simulations of chaos in a Colpitts
oscillator. We show that the nonlinear dynamics of this oscillator may be modeled by a third …

Three steps to chaos. II. A Chua's circuit primer

MP Kennedy - IEEE Transactions on Circuits and Systems I …, 1993 - ieeexplore.ieee.org
For Pt. I see ibid., vol. 40, no. 10, p. 640, 1993. Linear system-theory provides an inadequate
characterization of sustained oscillation in nature. This two-part exposition of oscillation in …

Detection of signals in chaos

S Haykin, XB Li - Proceedings of the IEEE, 1995 - ieeexplore.ieee.org
In this paper, we present a new method for the detection of signals in" noise", which is based
on the premise that the" noise" is chaotic with at least one positive Lyapunov exponent. The …

An observer-based approach for chaotic synchronization with applications to secure communications

TL Liao, NS Huang - … Transactions on Circuits and Systems I …, 1999 - ieeexplore.ieee.org
In this paper a systematic approach, based on the linear-state-observer design for
constructing two chaotically synchronized systems, is developed. The proposed method is …

Steps toward unmasking secure communications

KM Short - International Journal of Bifurcation and Chaos, 1994 - World Scientific
This work tests the level of security in secure communication systems based on nonlinear
dynamics (NLD), or chaos. In these systems, a chaotic carrier signal is used in a type of …