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Using the relative phase model allows us to use continuation and fixed point stability analysis, which we can exploit to find entrainment ranges.
When solving boundary value problems on infinite intervals, it is possible to use continuation principles.
On the whole, researches around the world indicate the difficulty of IUCD use, continuation, within first year removal [ 7, 8].
We do not use continuation methods to directly rule out saddle-node bifurcations in this work, as our attempts at such analysis have not yielded results, and to our knowledge it would be difficult to explore large numbers of regulatory networks in this fashion.
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A late-pregnancy uterine smooth muscle cell model is constructed and bursting analysed using continuation algorithms.
The paper presents a contribution to overcome this difficulty by using continuation methods.
The linear dynamic stability and nonlinear response are analysed by using continuation techniques and direct simulations.
Good initial guesses for the nonlinear solver are obtained using continuation in the small parameter ϵ.
Numerical issues involving local minima, mesh dependency, checkerboard patterns, and intermediate densities are tackled using continuation, filtering, and penalization methods.
A method for placement of DG units using continuation power flow analysis has been proposed by Hedayati et al. [2].
The benefits of using continuation are clearly demonstrated for both codes for a large class of problems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com