Elements of Differentiable Dynamics and Bifurcation Theory

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Elements of Differentiable Dynamics and Bifurcation Theory By David Ruelle
Publisher: Aca demi c Pre ss 1989 | 187 Pages | ISBN: 0126017107 | DJVU | 1 MB




The study of differentiate dynamical systems—differentiate dynamics—has been one of the most successful fields of mathematical research in the last twenty years. Many profound results have been uncovered and applied to other branches of mathematics as well as to the natural sciences. The explosive development of the subject has unfortunately led to a fragmentation into different subfields, to which it is becoming more and more difficult to gain access. This is particularly regrettable with regard to the applications and explains in part the low quality of much of the recent physics literature on \"chaos.\" A solution to this problem, i.e., a unified presentation of all the important and useful results on differentiable dynamical systems, would at this time require a large treatise that could probably not be written by any single mathematician.


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