In fact, many engineering and practical problems, such as the three-dimensional frictional contact problems [1] and the robust Nash equilibria [2], can be changed into SOCCP directly.
We pay particular attention to two issues: first, we distinguish three possible forms of the implied game between malign nature and the policymaker in the HS procedure each leading to a different robust and approximating equilibria.
In this paper, we propose a framework to analyze robust stability of equilibria in biological networks.
In common, there are four approaches including stochastic effects in the model [11], that is, through time Markov chain model [12], parameter perturbation [13], being proportional to the variables [11], and robusting the positive equilibria of deterministic models.
1We work within the class of continuously differentiable vector fields ( C 1 ) to ensure, by the Hartman Grobman theorem [12], that hyperbolic equilibria are robust - this is a minimal requirement to discuss robustness of heteroclinic cycles.
Other examples of robust heteroclinic cycles between equilibria for systems of coupled phase oscillators are given in [22, 23].
Proposition 1 A heteroclinic cycle between p > 0 hyperbolic equilibria is never robust to general C 1 perturbations in X.
The paper describes a new robust and efficient algorithm for liquid liquid liquid equilibria (LLLE) predictions and calculation.
On the other hand, higher costs than considered here will only make the control of the population by the caged refuge technique more robust, athough our formulas for the equilibria are not expected to be accurate in this case.
By evaluating the thermodynamics of metal protein interactions via equilibrium binding studies, protein unfolding free energy determinations, proton competition equilibria, and electrochemistry, a more robust basis for the computational design of metalloproteins may be provided.
