Constructing Universal Pattern Formation Processes Governed by Reaction-Diffusion Systems
| dc.contributor.author | Huang, Sen-Zhong | |
| dc.date.accessioned | 2020-08-18T20:40:43Z | |
| dc.date.available | 2020-08-18T20:40:43Z | |
| dc.date.issued | 2002-10-04 | |
| dc.description.abstract | For a given connected compact subset K in ℝn we construct a smooth map F on ℝ1+n in such a way that the corresponding reaction-diffusion system ut = DΔu + F(u) of n + 1 components u = (u0, u1,..., un), accompanying with the homogeneous Neumann boundary condition, has an attractor which is isomorphic to K. This implies the following universality: The make-up of a pattern with arbitrary complexity (e.g., a fractal pattern) can be realized by a reaction-diffusion system once the vector supply term F has been previously properly constructed. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Huang, S. Z. (2002). Constructing universal pattern formation processes governed by reaction-diffusion systems. <i>Electronic Journal of Differential Equations, 2002</i>(84), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12417 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Attractor | |
| dc.subject | Pattern formation | |
| dc.title | Constructing Universal Pattern Formation Processes Governed by Reaction-Diffusion Systems | |
| dc.type | Article |