期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 37, 期 12, 页码 1838-1846出版社
WILEY
DOI: 10.1002/mma.2939
关键词
nonlinear monetary system; boundedness; iterative theorem; numerical simulation
资金
- Fundamental Research Funds for the Central Universities [CDJXS11100026]
- NSF of PR China [11071266]
- Natural Science Foundation Project of CQ CSTC [2010BB9218]
- Youth Foundation of Sichuan Provincial Education Department [11ZB097]
- Talents Project of Sichuan University of Science and Engineering [2011RC07]
- Key Project of Artificial Intelligence Key Laboratory of Sichuan Province [2011RZJ02]
- Science and Technology Key Project of Zigong [2012D09]
In this paper, we make a study of dynamical properties of a nonlinear monetary system (1.1) towards the solution of the localization problem of compact invariant sets of the system (1.1). Here, a localization signifies a description of a set containing all compact invariant sets of (1.1) in terms of equalities and inequalities defined in the state space R-3. Our approach is based on using the first-order extremum conditions and is realized with the help of the iterative theory. We claim that all compact invariant sets of this system are located in the intersection of a ball with two frusta, and we also compute its corresponding parameters of the system. In addition, localization with the help of a two-parameter set of parabolic cylinders is described. Numerical simulation is consistent with the results of theoretical calculation. Copyright (C) 2013 John Wiley & Sons, Ltd.
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