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Canard oscillations in the randomly forced suspension flows
Irina Bashkirtseva1, Lev Ryashko1
1Ural Mathematical Center, Ural Federal University, Lenina, 51, 620000 Ekaterinburg, Russia.
Chaos (Woodbury, N.Y.)
|April 3, 2021
Summary
Complex oscillatory behaviors in fluid suspensions are explored. Random noise plays a key role in creating intricate patterns and transitions from order to chaos in these systems.
Area of Science:
- Nonlinear Dynamics
- Fluid Mechanics
- Complex Systems
Background:
- Oscillatory regimes in fluid suspensions are complex phenomena.
- Nonlinear dynamical models are crucial for understanding these behaviors.
Purpose of the Study:
- Investigate complex canard-type oscillatory regimes in stochastically forced suspension flows.
- Analyze the influence of an N-shaped rheological curve on self-oscillations.
- Explore the constructive role of random noise in forming these regimes.
Main Methods:
- Utilized a nonlinear dynamical model featuring an N-shaped rheological curve.
- Studied amplitude and frequency characteristics of self-oscillations.
- Employed numerical simulations and analytical methods, including stochastic sensitivity analysis.
Main Results:
- Characterized self-oscillations in the canard explosion zone based on N-shaped function stiffness.
- Discovered and analyzed noise-induced splitting of stochastic cycles.
- Identified supersensitive canard cycles.
Conclusions:
- Random noise constructively influences the formation of complex oscillatory regimes.
- Noise-induced splitting of stochastic cycles is a significant phenomenon.
- Supersensitive canard cycles contribute to noise-induced transitions from order to chaos.
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