Numerical study on Bray-Liebhafsky oscillatory reaction: Bifurcations
Abstract
The time series obtained by numerical simulations of the model of the Bray-Liebhafsky oscillatory reaction is analyzed under the continuously fed well stirred tank reactor (CSTR) conditions, with the aim to find bifurcation points in which system of Bray- Liebhafsky oscillatory reaction transforms from stable to unstable state and vice versa. Types of bifurcation points, supercritical and subcritical Andronov-Hopf bifurcation and saddle-loop bifurcation are determined from characteristic scaling laws.
Keywords:
Andronov-Hopf bifurcation / Bray-Liehafsky oscillatory reaction / Chemical reaction / Saddle-loop bifurcationSource:
Journal of Applied Nonlinear Dynamics, 2013, 2, 3, 285-301Publisher:
- L and H Scientific Publishing, LLC
Projects:
- Reinforcement of Regional Microsystems and Nanosystems Centre (EU-205533)
- Micro- Nanosystems and Sensors for Electric Power and Process Industry and Environmental Protection (RS-32008)
- Nanostructured Functional and Composite Materials in Catalytic and Sorption Processes (RS-45001)
- Dynamics of nonlinear physicochemical and biochemical systems with modeling and predicting of their behavior under nonequilibrium conditions (RS-172015)
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