Chaotic Dynamic Characteristics of an Integrated Water Management System
Huihui Xu
Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China.
Cheng Ning
Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China.
Shasha Li
Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China.
Xinghua Fan *
Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China.
*Author to whom correspondence should be addressed.
Abstract
Integrated Water Management System is studied from the dynamical system perspective. Risk factors, management factors and total water consumption of area are considered to be three interaction variable of the dynamical system. Chaotic dynamics characteristics of the system is studied by using Lyapunov exponents, bifurcation diagrams and Poincare mappings. Abundant chaotic dynamics characteristics of the system are showed. An Integrated Water Management attractor is obtained. Linear feedback controller is used to stabilize and control the system to a limit cycle.
Keywords: Integrated Water management system, chaotic dynamical characteristic, integrated water management attractor, limit cycle.