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ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS
Analysis of noise-induced bursting in two-dimensional Hindmarsh-Rosemodel
L. B. Ryashko, E. S. Slepukhina Ural Federal University, 51 Lenina avenue, Ekaterinburg, 620083, Russia
Abstract:
We study the stochastic dynamics of the two-dimensional Hindmarsh-Rose model in the parametrical zone of coexisting stable equilibria and limit cycles. The phenomenon of noise-induced transitions between the attractors is investigated. Under the random disturbances, equilibrium and periodic regimes combine in bursting regime: the system demonstrates an alternation of small fluctuations near the equilibrium with high amplitude oscillations. This effect is analysed using the stochastic sensitivity function technique and a method of estimation of critical values for noise intensity is proposed.
Keywords:
Hindmarsh-Rose model, excitability, stochastic sensitivity, noise-induced transitions, bursting.
Received: 18.04.2014
Citation:
L. B. Ryashko, E. S. Slepukhina, “Analysis of noise-induced bursting in two-dimensional Hindmarsh-Rosemodel”, Computer Research and Modeling, 6:4 (2014), 605–619
Linking options:
https://www.mathnet.ru/eng/crm347 https://www.mathnet.ru/eng/crm/v6/i4/p605
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Abstract page: | 145 | Full-text PDF : | 51 | References: | 27 |
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