Random Perturbations of Dynamical Systems (eBook, PDF)
Yuri Kifer
eBook, PDF

Random Perturbations of Dynamical Systems (eBook, PDF)

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Mathematicians often face the question to which extent mathematical models describe processes of the real world. These models are derived from experimental data, hence they describe real phenomena only approximately. Thus a mathematical approach must begin with choosing properties which are not very sensitive to small changes in the model, and so may be viewed as properties of the real process. In particular, this concerns real processes which can be described by means of ordinary differential equations. By this reason different notions of stability played an important role in the qualitative ...

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