Complex canard-type oscillatory regimes in stochastically forced flows of suspensions are studied. In this paper, we use the nonlinear dynamical model with a N-shaped rheological curve. Amplitude and frequency characteristics of self-oscillations in the zone of canard explosion are studied in dependence on the stiffness of this N-shaped function. A constructive role of random noise in the formation of complex oscillatory regimes is investigated. A phenomenon of the noise-induced splitting of stochastic cycles is discovered and studied both numerically and analytically by the stochastic sensitivity technique. Supersensitive canard cycles are described and their role in noise-induced transitions from order to chaos is discussed.
Canard oscillations in the randomly forced suspension flows
Note: This paper belongs to the Focus Issue, Recent Advances in Modeling Complex Systems: Theory and Applications.
Irina Bashkirtseva, Lev Ryashko; Canard oscillations in the randomly forced suspension flows. Chaos 1 March 2021; 31 (3): 033129. https://doi.org/10.1063/5.0040436
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