Paradox of simple limiter control

Autor(en): Hilker, Frank M.
Westerhoff, Frank H.
Stichwörter: BIFURCATIONS; CONTROLLING CHAOS; DYNAMICS; EXTINCTIONS; IMMIGRATION; MAPS; MESOPREDATOR RELEASE; PERSISTENCE; Physics; Physics, Fluids & Plasmas; Physics, Mathematical; POPULATIONS
Erscheinungsdatum: 2006
Herausgeber: AMER PHYSICAL SOC
Journal: PHYSICAL REVIEW E
Volumen: 73
Ausgabe: 5, 1
Zusammenfassung: 
Chaos control by simple limiters is an easy-to-implement and effective method of stabilizing irregular fluctuations. Here we show that applying limiter control to a state variable can significantly shift its mean value. In many situations, this is a countereffective as well as unexpected result, when the aim of control is also to restrict the dynamics. We discuss this effect on the basis of a model of population dynamics and conclude that it can have severe implications for the management of pest species and epidemic spread.
ISSN: 24700045
DOI: 10.1103/PhysRevE.73.052901

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