The Real Fatou Conjecture

The Real Fatou Conjecture

eBook - 1998
Rate this:
In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of parameters "a," an attracting periodic orbit exists. The same question appears naturally in science, where the logistic family is used to construct models in physics, ecology, and economics. In this book, Jacek Graczyk and Grzegorz Swiatek provide a rigorous proof of the Real Fatou Conjecture. In spite of the apparently elementary nature of the problem, its solution requires advanced tools of complex analysis. The authors have written a self-contained and complete version of the argument, accessible to someone with no knowledge of complex dynamics and only basic familiarity with interval maps. The book will thus be useful to specialists in real dynamics as well as to graduate students.
Publisher: Princeton, N.J. : Princeton University Press, 1998
ISBN: 9781400865185
Characteristics: 1 online resource
Additional Contributors: Świa̧tek, Grzegorz 1964-


From the critics

Community Activity


Add a Comment

There are no comments for this title yet.

Age Suitability

Add Age Suitability

There are no age suitabilities for this title yet.


Add a Summary

There are no summaries for this title yet.


Add Notices

There are no notices for this title yet.


Add a Quote

There are no quotes for this title yet.

Explore Further

Subject Headings


Find it at FSJPL

To Top