Order and chaos in a nonlinear financial economic system

• Main Authors: Lu, Yue-Wen, 呂鈺雯
• Other Authors: Chang, Tin-Chang
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/40923582719716824652

碩士 === 亞洲大學 === 經營管理學系碩士班 === 97 === This thesis is to investigate the dynamics of the financial economic model by numerical simulation. The system shows complex dynamics such as periodic and chaotic behaviors. Both period doubling and inverse period doubling routes were found in this system. This study also has proved that each parameter (a, b, and c) in this system exists two Feigenbaum numbers via numerical simulations. Although period doubling bifurcation route to chaos is one of the most typical roads towards chaos. We must point out that not all period doubling bifurcation behaviors in dynamical systems obeys Feigenbaum numbers. Finally, it is shown that parameter-tuning control can be applied to suppress deterministic chaos in this financial economic model.