Abstract
This paper discusses the problem of controlling nonlinear systems with chaotic dynamics. In the low dimensional case, one can achieve efficient regulation by introducing error-driven dynamics for the control parameter. For systems with many degrees of freedom, as encountered in distributed computation, there is a simple and robust procedure for freezing out chaotic behavior even when imperfect and delayed information cannot be avoided. It is based on a reward mechanism whereby the relative number of computational agents following effective strategies is increased at the expense of the others. This procedure is able to control chaos through a series of dynamical bifurcations into a stable fixed point. Stability boundaries are computed and the minimal amount of diversity required in the system is established.
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© 1992 Springer Science+Business Media New York
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Huberman, B.A. (1992). The Control of Chaos. In: Proto, A.N., Aliaga, J.L. (eds) Condensed Matter Theories. Condensed Matter Theories, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3352-8_3
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DOI: https://doi.org/10.1007/978-1-4615-3352-8_3
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