Neimark-Sacker Bifurcation in a Discrete-Time Financial System
A discrete-time financial system is proposed by using forward Euler scheme. Based on explicit Neimark-Sacker bifurcation (also called Hopf bifurcation for map) criterion, normal form method and center manifold theory, the system's existence, stability and direction of Neimark-Sacker bifurcation...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/405639 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849401862110838784 |
|---|---|
| author | Baogui Xin Tong Chen Junhai Ma |
| author_facet | Baogui Xin Tong Chen Junhai Ma |
| author_sort | Baogui Xin |
| collection | DOAJ |
| description | A discrete-time financial system is proposed by using forward Euler scheme. Based on
explicit Neimark-Sacker bifurcation (also called Hopf bifurcation for map) criterion, normal
form method and center manifold theory, the system's existence, stability and direction of
Neimark-Sacker bifurcation are studied. Numerical simulations are employed to validate the
main results of this work. Some comparison of bifurcation between the discrete-time financial
system and its continuous-time system is given. |
| format | Article |
| id | doaj-art-8c267a895ea342ee8d9de0640c63513c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8c267a895ea342ee8d9de0640c63513c2025-08-20T03:37:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/405639405639Neimark-Sacker Bifurcation in a Discrete-Time Financial SystemBaogui Xin0Tong Chen1Junhai Ma2Nonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, ChinaNonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, ChinaNonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, ChinaA discrete-time financial system is proposed by using forward Euler scheme. Based on explicit Neimark-Sacker bifurcation (also called Hopf bifurcation for map) criterion, normal form method and center manifold theory, the system's existence, stability and direction of Neimark-Sacker bifurcation are studied. Numerical simulations are employed to validate the main results of this work. Some comparison of bifurcation between the discrete-time financial system and its continuous-time system is given.http://dx.doi.org/10.1155/2010/405639 |
| spellingShingle | Baogui Xin Tong Chen Junhai Ma Neimark-Sacker Bifurcation in a Discrete-Time Financial System Discrete Dynamics in Nature and Society |
| title | Neimark-Sacker Bifurcation in a Discrete-Time Financial System |
| title_full | Neimark-Sacker Bifurcation in a Discrete-Time Financial System |
| title_fullStr | Neimark-Sacker Bifurcation in a Discrete-Time Financial System |
| title_full_unstemmed | Neimark-Sacker Bifurcation in a Discrete-Time Financial System |
| title_short | Neimark-Sacker Bifurcation in a Discrete-Time Financial System |
| title_sort | neimark sacker bifurcation in a discrete time financial system |
| url | http://dx.doi.org/10.1155/2010/405639 |
| work_keys_str_mv | AT baoguixin neimarksackerbifurcationinadiscretetimefinancialsystem AT tongchen neimarksackerbifurcationinadiscretetimefinancialsystem AT junhaima neimarksackerbifurcationinadiscretetimefinancialsystem |