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Chaotic control and synchronization for system identification

T. L. Carroll*

  • U.S. Naval Research Lab, Washington, D.C. 20375, USA

  • *Electronic address: Thomas.L.Carroll@nrl.navy.mil

Phys. Rev. E 69, 046202 – Published 16 April, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.046202

Abstract

Research into applications of synchronized chaotic systems assumes that it will be necessary to build many different drive-response pairs, but little is known in general about designing higher dimensional chaotic flows. In this paper, I do not add any design techniques, but I show that it is possible to create multiple drive-response pairs from one chaotic system by applying chaos control techniques to the drive and response systems. If one can design one chaotic system with the desired properties, then many drive-response pairs can be built from this system, so that it is not necessary to solve the design problem more than once. I show both numerical simulations and experimental work with chaotic circuits. I also test the response systems for ability to overcome noise or other interference.

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