Because the first variation of this ebook, geometrical equipment within the conception of normal differential equations became highly regarded and a few development has been made partially with assistance from pcs. a lot of this growth is represented during this revised, increased variation, together with such issues because the Feigenbaum universality of interval doubling, the Zoladec answer, the Iljashenko facts, the Ecalle and Voronin conception, the Varchenko and Hovanski theorems, and the Neistadt thought. within the choice of fabric for this ebook, the writer explains simple principles and strategies acceptable to the research of differential equations. designated efforts have been made to maintain the fundamental rules unfastened from over the top technicalities. therefore the main basic questions are thought of in nice element, whereas of the extra distinct and tough components of the idea have the nature of a survey. for this reason, the reader wishes just a normal mathematical wisdom to simply stick with this article. it really is directed to mathematicians, in addition to all clients of the speculation of differential equations.
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