A Topological Approach to Bend-Twist Maps with Applications
Joint Authors
Pascoletti, Anna
Zanolin, Fabio
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-05
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
In this paper we reconsider, in a purely topological framework, the concept of bend-twist map previously studied in the analytic setting by Tongren Ding in (2007).
We obtain some results about the existence and multiplicity of fixed points which are related to the classical Poincaré-Birkhoff twist theorem for area-preserving maps of the annulus; however, in our approach, like in Ding (2007), we do not require measure-preserving conditions.
This makes our theorems in principle applicable to nonconservative planar systems.
Some of our results are also stable for small perturbations.
Possible applications of the fixed point theorems for topological bend-twist maps are outlined in the last section.
American Psychological Association (APA)
Pascoletti, Anna& Zanolin, Fabio. 2011. A Topological Approach to Bend-Twist Maps with Applications. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-485018
Modern Language Association (MLA)
Pascoletti, Anna& Zanolin, Fabio. A Topological Approach to Bend-Twist Maps with Applications. International Journal of Differential Equations No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-485018
American Medical Association (AMA)
Pascoletti, Anna& Zanolin, Fabio. A Topological Approach to Bend-Twist Maps with Applications. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-485018
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485018