By Hasselblatt B., Katok A.
The idea of dynamical platforms has given upward thrust to the huge new sector variously known as utilized dynamics, nonlinear technology, or chaos idea. This introductory textual content covers the critical topological and probabilistic notions in dynamics starting from Newtonian mechanics to coding concept. the one prerequisite is a easy undergraduate research direction. The authors use a development of examples to offer the thoughts and instruments for describing asymptotic habit in dynamical platforms, progressively expanding the extent of complexity. matters comprise contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, unusual attractors, twist maps, and KAM-theory.
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