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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-461
Full Name: Li Xu
Position: Assistant Professor
Age: ON
Sex: Male
Address: Tianjin University of Commerce, BeiChen, Tianjin
Country: CHINA
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E-mail address: beifang_xl@yahoo.com.cn
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Title of the Paper: Turing instability for a two dimensional semi-discrete Oregonator model
Authors as they appear in the Paper: Li Xu, Guang Zhang, Jun-feng Ren
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Number of paper pages: 10
Abstract: In this paper, a semi-discrete (time continuous but two-dimensional spatially discrete) Oregonator model has been given in the microscopic domain, and Turing instability theory analysis is discussed in detail. Turing instability conditions have been deduced by combining linearization method and inner product technique. Various patterns such as spiral wave, target wave, stripes and spotlike patterns are selectively obtained from numerical simulations in the Turing instability region. In particular, the effect of both system parameters and initial value on pattern formation is numerically proved.
Keywords: semi-discrete Oregonator model; Turing instability; pattern formation; initial value; linearization method; inner product
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