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Hierarchical clustering was done on centered genes by using the centered correlation distance and an average linkage method.
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Local flexural stiffness, EI, at each coordinate point was derived by substituting the regressed data by using the centered-finite-divided-difference formula.
In this paper, we study the stabilization of nonlinear systems in critical cases by using the center manifold reduction technique.
Flip bifurcation is analyzed by using the center manifold theory and three sales promotion strategies are discussed.
Double Neimark Sacker bifurcation of the system is analyzed by using the center manifold and normal form method of maps.
The new mathematical models are discretized by using the center and up-wind formats, and solved by the FORTRAN and MATLAB codes written.
The conditions for existence of codimension-1 bifurcations (fold bifurcation, flip bifurcation and Neimark Sacker bifurcation) are derived by using the center manifold theorem and bifurcation theory.
The marine strain displayed higher bioethanol production than the terrestrial strain did and hence, it was selected for optimizing the fermentation conditions for ethanol production by using the center composite design of response surface methodology.
Local codimension two bifurcation of maps, involving a real eigenvalue and a complex conjugate pair escaping the unit circle simultaneously, is analyzed by using the center manifold theorem technique and normal form method for maps.
Local codimension two bifurcation of maps, involving a real eigenvalue and a complex conjugate pair escaping the unit circle simultaneously, is analyzed by using the center manifold and normal form method for maps.
By using the center manifold theory and normal form method, the direction and stability of the Hopf bifurcation are determined.
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