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A great variety of problems on discrete dynamical systems and
difference equations, both depending on parameters, can evolve to
non-autonomous when such parameters are perturbed with a perturbation
depending on $n$.
We are dealing with this problem and give results
proving that even when the perturbations has a small amplitude, the
dynamical behavior of the system or equation can change drastically
In particular, we will use trigonometric and general perturbations
trough sinam or cosam Jacobi functions. We will give results on
Lyapunov stability, entropy and other dynamics properties. |
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