Dynamics of a Singularly Perturbed Quadratic Family
2017
Loading...
Persistent link to this item
Statistics
View StatisticsJournal Title
Journal ISSN
Volume Title
Title
Dynamics of a Singularly Perturbed Quadratic Family
Authors
Published Date
2017
Publisher
Type
Scholarly Text or Essay
Abstract
Some of the dynamics of the family x→x^2+c+β/x^d are described. Different behaviors occur as the parameter β and c are varied. These transitions are called bifurcations. This singular perturbed quadratic family is treated both as a real
system. This paper is based on the various trials done in the Mathematica 10.
The main focus of this paper is done for the parameter β and c. Specifi cally, the
summary is done to present the general behaviors of the real case. Meanwhile, this
paper creates some general behaviors of the system with different parameter d. The
dynamics of one dimensional quadratic maps is present.
Description
University Honors Capstone Project Paper and Poster, University of Minnesota Duluth, 2017. Department of Mathematics and Statistics. Faculty Advisor: Dr. Bruce Peckham.
Related to
Replaces
License
Collections
Series/Report Number
Funding information
Isbn identifier
Doi identifier
Previously Published Citation
Suggested citation
Wang, Lesheng. (2017). Dynamics of a Singularly Perturbed Quadratic Family. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/195236.
Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.