Design of external forces for eliminating traveling wave in a piecewise linear FitzHugh-Nagumo model

被引:5
作者
Konishi, Keiji [1 ]
Takeuchi, Masashi [1 ]
Shimizu, Tsuyoshi [1 ]
机构
[1] Osaka Prefecture Univ, Dept Elect & Informat Syst, Naka Ku, Osaka 5998531, Japan
关键词
DELAYED-FEEDBACK CONTROL; REACTION-DIFFUSION SYSTEM; RING MAP LATTICE; EXCITABLE MEDIA; SPATIOTEMPORAL CHAOS; WINFREE TURBULENCE; SPIRAL WAVES; DEFIBRILLATION; PROPAGATION; SUPPRESSION;
D O I
10.1063/1.3545162
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Elimination and control of nonlinear phenomena in excitable media are important for academic interests and practical applications. This paper provides a systematic procedure to design external forces for eliminating a traveling wave in a one-dimensional piecewise linear FitzHugh-Nagumo model. This procedure allows us to design nonfeedback and feedback control systems. The feedback control systems are designed using classical control theory. Furthermore, this procedure is extended to a two-dimensional model and verified using numerical simulation. (C) 2011 American Institute of Physics. [doi:10.1063/1.3545162]
引用
收藏
页数:8
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