EXCITABILITY AND COMPLEX MIXED-MODE OSCILLATIONS IN STOCHASTIC BUSINESS CYCLE MODEL

Irina Bashkirtseva (), Alexander Pisarchik, Lev Ryashko and Tatyana Ryazanova ()
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Irina Bashkirtseva: Institute of Mathematics and Computer Science, Ural Federal University, Lenina, 51, Ekaterinburg 6200000, Russia
Alexander Pisarchik: Centro de Investigaciones en Optica, Loma del Bosque 115, Lomas del Campestre, 37150 Leon, Guanajuato, Mexico3Computational Systems Biology, Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo, 28223 Pozuelo de Alarcon, Madrid, Spain
Lev Ryashko: Institute of Mathematics and Computer Science, Ural Federal University, Lenina, 51, Ekaterinburg 6200000, Russia
Tatyana Ryazanova: Institute of Mathematics and Computer Science, Ural Federal University, Lenina, 51, Ekaterinburg 6200000, Russia

Advances in Complex Systems (ACS), 2016, vol. 19, issue 01n02, 1-16

Abstract: Stochastically forced business cycle model is considered. We study a phenomenon of the noise-induced generation of complex mixed-mode oscillations in zones where the deterministic model exhibits a single attractor (equilibrium or limit cycle). A probabilistic mechanism of the transition from unimodal oscillations to the intermittency of small- and large-amplitude stochastic oscillations is investigated on the base of the stochastic sensitivity functions technique. We show that such intermittency, connected with the nonuniformity of phase portrait, can be parametrically analyzed by the confidence domains method.

Keywords: Business cycles model; stochastic sensitivity function; mixed-mode oscillation; confidence domains (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0219525915500277

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