Center manifold theory for discrete dynamical systems
AbstractUsing the center manifold theory for maps, we derive a theorem for the existence of backward bifurcation at bifurcation points of discrete dynamical systems. This theorem is an analogue of a theorem in  for continuous dynamical systems. We discuss applications to discrete dynamical systems in general , but more specifically those arising as dicretisations of continuous dynamical systems via the nonstandard finite difference method .
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