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Stochastic transformations of multi-rhythmic dynamics and order-chaos transitions in a discrete 2D model
Ivan Tsvetkov1, Irina Bashkirtseva1, Lev Ryashko1
1Department of Theoretical and Mathematical Physics, Ural Federal University, Lenina 51, Ekaterinburg 620000, Russia.
Abstract:
A problem of the analysis of stochastic effects in multirhythmic nonlinear systems is investigated on the basis of the conceptual neuron map-based model proposed by Rulkov. A parameter zone with diverse scenarios of the coexistence of oscillatory regimes, both spiking and bursting, was revealed and studied. Noise-induced transitions between basins of periodic attractors are analyzed parametrically by statistics extracted from numerical simulations and by a theoretical approach using the stochastic sensitivity technique. Chaos-order transformations of dynamics caused by random forcing are discussed.
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