Neimark-Sacker Bifurcation in a Discrete-Time Financial System

Baogui Xin, Tong Chen and Junhai Ma

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-12

Abstract:

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:405639

DOI: 10.1155/2010/405639

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