In this paper, we establish a dynamic model of the hyper-chaotic finance system which is composed of four sub-blocks: production, money, stock and labor force. We use four first-order differential equations to describe the time variations of four state variables which are the interest rate, the investment demand, the price exponent and the average profit margin. The hyper-chaotic finance system has simplified the system of four dimensional autonomous differential equations. According to four dimensional differential equations, numerical simulations are carried out to find the nonlinear dynamics characteristic of the system. From numerical simulation, we obtain the three dimensional phase portraits that show the nonlinear response of the hyper-chaotic finance system. From the results of numerical simulation, it is found that there exist periodic motions and chaotic motions under specific conditions. In addition, it is observed that the parameter of the saving has significant influence on the nonlinear dynamical behavior of the four dimensional autonomous hyper-chaotic system.
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ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 17–20, 2014
Buffalo, New York, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-4641-4
PROCEEDINGS PAPER
Nonlinear Dynamics and Application of the Four Dimensional Autonomous Hyper-Chaotic System
Ge Kai
Beijing University of Technology, Beijing, China
Inner Mongolia University of Finance and Economics, Hohhot, China
Wei Zhang
Beijing University of Technology, Beijing, China
Paper No:
DETC2014-34282, V008T11A045; 5 pages
Published Online:
January 13, 2015
Citation
Kai, G, & Zhang, W. "Nonlinear Dynamics and Application of the Four Dimensional Autonomous Hyper-Chaotic System." Proceedings of the ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 8: 26th Conference on Mechanical Vibration and Noise. Buffalo, New York, USA. August 17–20, 2014. V008T11A045. ASME. https://doi.org/10.1115/DETC2014-34282
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