Abstract
The averaging setup arises in the study of perturbations of parametric families of dynamical systems when parameters start changing slowly in time. Usually, averaging methods are applied to systems of differential equations which combine slow and fast motions. This paper deals with difference equations case which leads to wider class of models and examples. The averaging principle is justified here under a general condition which is verified when unperturbed transformations either preserve smooth measures or they are hyperbolic. The convergence speed in the averaging principle is estimated for some cases, as well.
Original language | English |
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Pages (from-to) | 103-123 |
Number of pages | 21 |
Journal | Asterisque |
Issue number | 287 |
State | Published - 2003 |
Keywords
- Averaging
- Difference equations
- Dynamical systems