oregonator#

diffeqzoo.ivps.oregonator(*, initial_values=(1.0, 2.0, 3.0), time_span=(0.0, 100000.0), s=77.27, q=8.375e-06, w=0.161)[source]#

Construct the scaled Oregonator Mass-Action dynamics in a well-stirred, homogeneous system.

What is often referred to as the “Oregonator” problem is a simplified model of the chemical dynamics of the oscillatory Belousov-Zhabotinsky reaction and due to Fields and Noyes (1974). It is a three-dimensional, stiff initial value problem,

\[\dot u(t) = f(u(t))\]

and a common test problem for numerical solvers for stiff differential equations.

BibTex for Fields and Noyes (1974)
@article{field1974oscillations,
    title={Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction},
    author={Field, Richard J and Noyes, Richard M},
    journal={The Journal of Chemical Physics},
    volume={60},
    number={5},
    pages={1877--1884},
    year={1974},
    publisher={American Institute of Physics}
}