Sharkovsky's Theorem, Li and Yorke's "period three implies chaos" result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich periodic character of first-order, nonlinear difference equations. To date, however, we still know surprisingly little about higher-order nonlinear difference equations.
During the last
Rezensionen / Stimmen
"The advantage of the book is not only the presentation of new results, but also the formulation of many open problems and conjectures which shall stimulate further investigations of researchers and graduate students."
- Lothar Berg, Zentralblatt MATH, 2006
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Graduate students and researchers in difference equations and discrete dynamical systems
Illustrationen
50 s/w Abbildungen
50 b/w images
Dateigröße
ISBN-13
978-1-4200-3772-2 (9781420037722)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Preliminaries. Equations with Periodic Solutions. Equations with Eventually Periodic Solutions. Convergence to Periodic Solutions. The Equation xn+1=. Max Equations with Periodic Solutions. Max Equations with Periodic Coefficients. Equations in the Spirit of the (3x+1) Conjecture. Bibliography. References.
