Abstract
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
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Boccara, N. (2010). Chaos. In: Modeling Complex Systems. Graduate Texts in Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6562-2_5
Download citation
DOI: https://doi.org/10.1007/978-1-4419-6562-2_5
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-6561-5
Online ISBN: 978-1-4419-6562-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)