Global Dynamics of Rational Difference Equations xn+1=xn+xn-1q+ynyn-1 and yn+1=yn+yn-1p+xnxn-1
Joint Authors
Zuliang, Pan
Zhong, Weizhou
Keying, Liu
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Global dynamics of a system of nonlinear difference equations was investigated, which had five kinds of equilibria including isolated points and a continuum of nonhyperbolic equilibria along the coordinate axes.
The local stability of these equilibria was analyzed which led to nine regions in the parameters space.
The solution of the system converged to the equilibria or the boundary point (+∞,0) or (0,+∞) in each region depending on nonnegative initial conditions.
These results completely described the behavior of the system.
American Psychological Association (APA)
Keying, Liu& Zuliang, Pan& Zhong, Weizhou. 2017. Global Dynamics of Rational Difference Equations xn+1=xn+xn-1q+ynyn-1 and yn+1=yn+yn-1p+xnxn-1. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1151114
Modern Language Association (MLA)
Keying, Liu…[et al.]. Global Dynamics of Rational Difference Equations xn+1=xn+xn-1q+ynyn-1 and yn+1=yn+yn-1p+xnxn-1. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1151114
American Medical Association (AMA)
Keying, Liu& Zuliang, Pan& Zhong, Weizhou. Global Dynamics of Rational Difference Equations xn+1=xn+xn-1q+ynyn-1 and yn+1=yn+yn-1p+xnxn-1. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1151114
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151114