Part of the Graduate Texts in Physics book series (GTP)


The essential points of this chapter are The definition of an invariant measure The Šarkovskii theorem The Devaney definition of chaos The definition of a route to chaos The period-doubling route to chaos The definition Of ergodicity The definition of integration with respect to a probability measure The Li-Yorke theorem The definition of an attractor The definition and the essential properties of the Cantor triadic set The definition and an example of a fractal set The definition of a strange attractor The expression of the Hénon map


Periodic Orbit Lyapunov Exponent Bifurcation Diagram Periodic Point Strange Attractor 


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Dept. PhysicsUniversity of Illinois, ChicagoChicagoUSA

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