Nonlinear Diffusion;
Amplitude Equation;
Linear Diffusion;
Turing Pattern;
Turing Instability;
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摘要:
The Turing instability is studied in two-component reaction-diffusion systems with nonlinear diffusion terms, and the regions in parametric space where Turing patterns can form are determined. The boundaries between super- and subcritical bifurcations are found. Calculations are performed for one-dimensional brusselator and oregonator models.
机构:
Xuchang Univ, Sch Sci, Xuchang 461000, Peoples R China
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R ChinaXuchang Univ, Sch Sci, Xuchang 461000, Peoples R China
Zheng, Qianqian
Shen, Jianwei
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机构:
North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R ChinaXuchang Univ, Sch Sci, Xuchang 461000, Peoples R China
Shen, Jianwei
Xu, Yong
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机构:
Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R ChinaXuchang Univ, Sch Sci, Xuchang 461000, Peoples R China
机构:
Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450000, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450000, Peoples R China
Ji, Yansu
Shen, Jianwei
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机构:
North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Henan, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450000, Peoples R China
机构:
Kanagawa Univ, Fac Engn, Kanagawa Ku, 3-27-1 Rokkakubashi, Yokohama, Kanagawa 2218686, JapanKanagawa Univ, Fac Engn, Kanagawa Ku, 3-27-1 Rokkakubashi, Yokohama, Kanagawa 2218686, Japan
Ide, Yusuke
Izuhara, Hirofumi
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机构:
Miyazaki Univ, Fac Engn, 1-1 Gakuen Kibanadai Nishi, Miyazaki 8892192, JapanKanagawa Univ, Fac Engn, Kanagawa Ku, 3-27-1 Rokkakubashi, Yokohama, Kanagawa 2218686, Japan
Izuhara, Hirofumi
Machida, Takuya
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机构:
Japan Soc Promot Sci, Tokyo, JapanKanagawa Univ, Fac Engn, Kanagawa Ku, 3-27-1 Rokkakubashi, Yokohama, Kanagawa 2218686, Japan