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We will use the normal form theory and the center manifold theorem as in [19].
By using the normal form theory and center manifold reduction for PFDEs developed by [23].
Next we investigate the direction of these bifurcations by using normal form theory.
Furthermore, we investigate the direction of these bifurcations by using normal form theory.
These bifurcations are analyzed by applying the center manifold theorem and the normal form theory.
In part I the dynamics associated with the system is fully investigated using normal form theory.
Furthermore, the properties of the Hopf bifurcation are investigated by using the normal form theory and the center manifold theorem.
The theoretical approach we apply is based on the normal form theory and center manifold theory [37].
From then, the normal form theory was applied to solve the center-focus problem for monodromic planar nilpotent singularities.
Furthermore, properties of the Hopf bifurcation are investigated by using the normal form theory and the center manifold theorem.
The centre manifold normal form theory is used to obtain the simplest expression for the limit cycle amplitudes.
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