USING CONTROL OF CHAOS TO REFINE APPROXIMATIONS TO PERIODIC POINTS-Reference-Cited by-同舟云学术

USING CONTROL OF CHAOS TO REFINE APPROXIMATIONS TO PERIODIC POINTS

Published:2000-01 Issue:01 Volume:10 Page:227-235
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ASTON P. J.¹,BIRD C. M.¹

Affiliation:

1. Department of Mathematics and Statistics, University of Surrey, Guildford GU2 5XH, UK

Abstract

The OGY method for controlling chaos using parameter perturbations is analyzed assuming that the regression approximation to the fixed point is not exact. This leads to a method for obtaining a new approximation to the fixed point which can be applied iteratively and which gives a fixed point of high accuracy. The method is extended to systems with noise and so is appropriate for use in experimental systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812740000013X

Reference8 articles.

1. ANALYSIS OF THE CONTROL OF CHAOS-RATE OF CONVERGENCE

2. Analysis of the control of chaos—Extending the basin of attraction

3. Controlling chaos

4. Tracking controlled chaos: Theoretical foundations and applications

5. Tracking unstable orbits in experiments

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