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Calculation of coefficients of simplest normal forms of Neimark-Sacker and generalized Neimark-Sacker bifurcations

Calculation of coefficients of simplest normal forms of Neimark-Sacker and generalized Neimark-Sacker bifurcations

The coefficients of the simplest normal forms of both high-dimensional Neimark-Sacker and generalized Neimark-Sacker bifurcation systems were discussed. On the basis of the simplest normal form theory, using appropriate nonlinear transformations, direct computation and the second complete induction, the central manifold equations were further reduced to the simplest normal forms …