Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 319, Issue 1, Pages 94-109Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2006.02.060
Keywords
hysteresis perturbations of ODE; preisach hysteresis nonlinearity; periodic solutions; stability
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We consider hysteresis perturbations of a system of ODEs which possesses an asymptotically stable periodic solution z(*). Where the oscillation of an appropriate projection of this periodic solution is smaller than some threshold number defined by the hysteresis nonlinearity, it is shown that the perturbed system has a continuum of periodic solutions with a rather simple structure in a vicinity of z(*). The main result is a theorem on the stability of this continuum. (c) 2006 Elsevier Inc. All rights reserved.
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