Abstract:
The purpose of this paper is to analyze the influence of the random noise on pattern formations in Turing systems with growing domains. Many works in analysis of pattern ...Show MoreMetadata
Abstract:
The purpose of this paper is to analyze the influence of the random noise on pattern formations in Turing systems with growing domains. Many works in analysis of pattern formations have been performed in the past. However, models in such analyses were considered in a deterministic framework and in time-invariant domains. In this paper, focusing our attention on pattern formations in Turing systems with growing domains and taking disturbances into consideration, we propose a stochastic model of Turing systems with growing domains. We study the influence of the growing domains and random disturbances on Turing pattern formations by numerical simulations.
Date of Conference: 06-09 December 2004
Date Added to IEEE Xplore: 25 July 2005
Print ISBN:0-7803-8653-1
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Turing Patterns ,
- Numerical Simulations ,
- Stochastic Model ,
- Pattern Formation ,
- Deterministic Framework ,
- Changes In Variables ,
- Wavenumber ,
- Diffusion Coefficient ,
- Positive Constant ,
- Space Of Functions ,
- Equilibrium Point ,
- Asymptotically Stable ,
- Domain Size ,
- Characteristic Equation ,
- Properties Of Domains ,
- Presence Of Diffusion
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Turing Patterns ,
- Numerical Simulations ,
- Stochastic Model ,
- Pattern Formation ,
- Deterministic Framework ,
- Changes In Variables ,
- Wavenumber ,
- Diffusion Coefficient ,
- Positive Constant ,
- Space Of Functions ,
- Equilibrium Point ,
- Asymptotically Stable ,
- Domain Size ,
- Characteristic Equation ,
- Properties Of Domains ,
- Presence Of Diffusion