This booklet presents a self-contained complete exposition of the idea of dynamical platforms. The booklet starts with a dialogue of a number of ordinary yet an important examples. those are used to formulate a application for the final examine of asymptotic homes and to introduce the significant theoretical recommendations and strategies. the most topic of the second one a part of the e-book is the interaction among neighborhood research close to person orbits and the worldwide complexity of the orbit constitution. The 3rd and fourth elements advance the theories of low-dimensional dynamical structures and hyperbolic dynamical structures intensive. The e-book is geared toward scholars and researchers in arithmetic in any respect degrees from complex undergraduate and up.
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