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The phrase "a local stability of" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or systems theory, particularly when discussing the stability of a system or equilibrium point in a localized area.
Example: "The researchers focused on a local stability of the equilibrium point to determine the system's behavior under small perturbations."
Alternatives: "a localized stability of" or "a regional stability of".
Exact(2)
In what follows, we will give a local stability of the solutions.
In the last section, we will give a local stability of the weak solutions, without the restriction (1.17).
Similar(58)
The remainder of the article is organized as follows: Section 2 is concerned with a local stability analysis of the equilibrium points of (1) with and without Allee effect.
The weights in the Robin condition are determined from the optimization of a condition derived from a local stability analysis of the coupling scheme.
The region of parameter space, in which Hopf bifurcations can occur, is found by a local stability analysis of the semi-analytical model.
Shilnikov et al. [5] proposed a VEISV network worm attack model and derived the global stability of a worm-free state and local stability of a unique worm-epidemic state by using the reproduction rate.
Shilnikov et al. [5] proposed an VEISV network worm attack model and derived global stability of a worm-free state and local stability of a unique worm-epidemic state by using the reproduction rate.
By applying the time delay as a bifurcation parameter, the local stability of the endemic equilibrium is studied and the condition which is absolutely stable or conditionally stable is established.
Sufficient conditions for local stability of a two-dimensional and a one dimensional model for the reactor are obtained using the extension of Lyapunov stability theory to distributed parameter systems.
Furthermore, definitions of an equilibrium point and some important theorems of the local stability of a fractional order system are presented.
By the local stability of a hyperbolic set, there is a C 1 -neighborhood U ( f ) of f such that for any g ∈ U ( f ), Λ g ( U ) = ⋂ n ∈ Z g n ( U ) is hyperbolic.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com