By Ronald Leven, Bernd-Peter Koch, Bernd Pompe
An creation to nonlinear dynamics, outlining normal phenomena and explaining analytical and numerical equipment for the qualitative and quantitative description of the structures. Examples mentioned may still expand the reader's perception into chaos idea and concentration awareness on topical difficulties.
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Additional resources for Chaos in dissipativen Systemen
Example text
N, und f¨ ur zumindest ein i und ein j aus {1, 2, . . , n} gilt |γi | > 1 und |γj | < 1). Ist hierbei f ein C 1 –Diffeomorphismus, so existiert in einer gewissen Umgebung U von x wiederum ein Hom¨oomorphismus h, so daß h ◦ f (x) = Df (x) h(x) f¨ ur alle x ∈ U gilt. Das lineare 52 2. 35) in der N¨ahe von x. F¨ ur einen hyperbolischen Fixpunkt existiert auch hier eine lokale stabile bzw. 26) definiert wird und zum stabilen bzw. instabilen Eigenraum E s (x) bzw. E u (x) von Df (x) tangential liegt.