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Such equilibria are part of a branch of maths called game theory a name both men and women might think eminently appropriate.
We now construct such equilibria for a given MCL.
Such equilibria identify metabolic "pools" or aggregates of concentration variables.
We now provide a more complete characterization of such equilibria.
Interestingly, however, introducing a MCL may allow for the existence of such equilibria.
Moreover, we formulate novel sufficient conditions for stability of such equilibria.
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Faced with such multiple equilibria, it is a central bank's responsibility to ensure that the "good" (i.e. low yield) equilibrium is reached.
Here, as a first step, stabilisation of such 3D equilibria is considered.
To understand the complex dynamics of the system, some basic dynamical properties, such as equilibria, stability, the complete mathematical characterizations for Hopf bifurcation are rigorously derived and studied.
As an example of a set of parameters where such Nash equilibria exist, we refer to the benchmark IEEE 14-bus power system in DC approximation described above.
Basic dynamical characteristics of this new system are studied such as equilibria, eigenvalue structures, Lyapunov exponent spectrum, fractal dimension and chaotic behaviors.
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