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To utilize this theorem for our problem, first we consider the linearization of system (2.1) in the form of FDE with the derivative order in both equations around a given stationary point.
In order to determine the size of the neighbourhood in which a given stationary point remains asymptotically stable, a global stability analysis has been performed based on Popov's frequency method.
For any given stationary point ((x^,omega ^,lambda^,y^)) of NLP 2, ((x^,omega^,lambda^)) is a solution of CCEiCP if and only if (delta=mu=0), where δ and μ are the Lagrange multipliers associated with the equality constraints (23) and (24), respectively.
Blanchette et al. [72] found that a "star-like" phylogeny allows reliable inference of ancestral mammal sequences given stationary evolution and sufficient sampling of extant taxa.
Some of the most salient properties of the observed neuron dynamics may be the characteristic changes of a property in response to certain types of stimulations (bifurcations) rather than their values during any given stationary activity (the attractor(s)).
This is trivially explained by the first event delay distribution for a point process of a given (stationary) rate.
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Numerical calculation confirms that the scheme does indeed give stationary geostrophic modes for the hexagonal pentagonal and triangular geodesic C-grids on the sphere.
This defines an electrophysiological condition giving stationary spiral SWs in isotropic homogeneous sheets of atrial tissue.
Electrophysiological changes to the CRN model were implemented as in previous studies [ 33, 34] to give stationary rotating reentry.
A single case of AF induced electrophysiological changes was considered in this study that gave stationary rotors using the CRN human atrial cell model.
Moreover, with probability 1, the proportion of time the process spends in any subset of its state space converges to the stationary probability of that set; and, if X 0) is given the stationary distribution to begin with, the process becomes a stationary process.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com