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A ratio dependent on Three Species Food Chain Model Chaos Control and Research branch

Author: WanXiaoJi
Tutor: LinZuoPing
School: Kunming University of Science and Technology
Course: Applied Mathematics
Keywords: Food chain Chaotic attractor Linear feedback control Delayed feedback control Hopf bifurcation
CLC: O415.5
Type: Master's thesis
Year: 2008
Downloads: 34
Quote: 2
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Abstract


In recent years , chaos control in academic research and practical application of more and more people's attention , and some control methods have been in the optical , chemical reactions , fluid, electronic circuits , artificial neural network, communication encryption , biological systems, a lot of experiments and applications has been verified. In this paper, the use of linear and delayed feedback control method for a class of three species ratio-dependent food chain model for chaos control, gives the system to produce the conditions for Hopf bifurcation , and the use of canonical form and the center manifold theory has been decided bifurcation branch orientation and stability of the expression formula.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory
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