Maintaining Chaos

“Since Ott, Grebogi, and Yorke published their paper on the theory of the control of chaos [in 1990], a major thrust of the work in experimental chaos has been to convert the chaos found in various physical systems into periodic motion. ...Although chaos control may be very advantageous in many systems, it has been suggested that pathological destruction of chaotic behavior (possibly due to some underlying disease) may be implicated in heart failure and some types of brain seizures. Thus some [many?] systems may require chaos and/or complexity in order to function properly. Another situation in which the maintenance of chaos might be useful is in the mixing of fluids (4420).
“The main contribution of this Letter is a general theoretical method for the maintenance of chaos... (4420).

...[W]e interrupt only the sequence of preiterates that lead to entrapment in a periodic motion. ...[W]e are able to maintain the chaos with only rare interventions (~0.12% of the time) (4423).

<== burn marks on a metal charcoal burner
“Some studies of heart rate variability suggest that losing complexity in the heart rate will increase the mortality rate of cardiac patients....” (4423n9).

“Experimental Maintenance of Chaos”
Visarath In, Susan Mahan, William Ditto, Mark Spano
Physical Review Letters 74.22 (29 May 1995): 4420-23.

notes and references have been deleted.

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