Open AccessControl of spiral waves in FitzHugh-Nagumo systems
Author(s) -
Gao Jia-Zhen,
Lingling Xie,
Wei Xie,
Jungang Gao
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.080503
Subject(s) - spiral (railway) , physics , amplitude , trajectory , limit (mathematics) , phase space , phase (matter) , turbulence , mechanics , classical mechanics , process (computing) , control theory (sociology) , mathematical analysis , optics , computer science , mathematics , control (management) , quantum mechanics , artificial intelligence , operating system
Control of spiral wave in two-dimensional FitzHugh-Nagumo equation is studied. The phase space compression approach is used to confine the system trajectory into a finite area and to annihilate spiral wave in the numerical simulation. Three stages are found in the control process. The spiral is driven to a homogenous stationary state when the compress limit is small; the spiral is stable with a fixed frequency when the compression limit is large; in the intermediate controlling parameter regime, the spatiotemporal turbulent state is observed. The controlling process is investigated by considering system pattern, variable evolution, phase space trajectory, etc, and the characteristics of amplitude function and oscillatory frequency are summarized as well.