Parameter Perturbations of Decoupling Control

Control of Directed Differentiation by Parameter Perturbations

Directed differentiation is the process which selectively induce differentiation of stem cells toward definitive cells, but how directed differentiation occurs when stem cells confront the external cues has not been established theoretically. We demonstrate here directed differentiation of a simplified two-component network by using systematic parameter perturbations. These methods and results ...

Curvature perturbations from dimensional decoupling

The scalar modes of the geometry induced by dimensional decoupling are investigated. In the context of the low energy string effective action, solutions can be found where the spatial part of the background geometry is the direct product of two maximally symmetric Euclidean manifolds whose related scale factors evolve at a dual rate so that the expanding dimensions first accelerate and then dec...

Decoupling Control

Non–decoupling, triviality and the ρ parameter

The dependence of the ρ parameter on the mass of the Higgs scalar and the top quark is computed non–perturbatively using the 1/NF expansion in the standard model. We find an explicit expression for the ρ parameter that requires the presence of a physical cutoff. This should come as no surprise since the theory is presumably trivial. By taking this cutoff into account, we find that the ρ paramet...

Synchronization of coupled systems via parameter perturbations

We consider coupled identical chaotic systems. In some circumstances, the coupled systems synchronize. When this does not happen naturally, we derive methods based on small parameter perturbations which result in synchronous behavior. The perturbations are applied in the neighborhood of a fixed or periodic point in the synchronous subspace which is stable in the normal direction. By keeping ite...