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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/405639 |
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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |