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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 408904, 10 pages
http://dx.doi.org/10.1155/2013/408904
Research Article

Bifurcation and Chaos in a Price Game of Irrigation Water in a Coastal Irrigation District

Baogui Xin1,2 and Yuting Li1,3

1Nonlinear Science Center, School of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China
2Nonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, China
3College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, China

Received 8 March 2013; Accepted 17 April 2013

Academic Editor: Qingdu Li

Copyright © 2013 Baogui Xin and Yuting Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose a price game model of irrigation water in a coastal irrigation district. Then, we discuss the stability and codimension-two period-doubling (flip) bifurcation. Then, the MATLAB package Cl_MatContM is employed to illustrate its numerical bifurcations-based continuation methods. Lastly, the 0-1 test algorithm is used to compute the median value of correlation coefficient which can indicate whether the underlying dynamics is regular or chaotic.