Authors: Huang, Huaiqing; Min, Lequan; Su, Yongmei

Source: Journal of Computational and Theoretical Nanoscience, Volume 4, Numbers 7-8, November/December 2007 , pp. 1269-1273(5)

Publisher: American Scientific Publishers

Abstract:

The local activity theory introduced by Chua has provided a new tool for studying emergent behaviors of a kind of coupled array differential systems, in particular for reaction-diffusion cellular neural networks (R-D CNNs). This paper studies a typical preparation-catalysis reaction (PCR) equation by using the local activity theory. The numerical simulations demonstrate that the dynamics of the R-D CNN can display chaos or oscillation if the selected cell parameters are nearby the edge of chaos domain or locally unstable regions far from the edge of chaos domain. The research results show once again that the local activity theory is a promising tool for studying the complexity of high dimensional coupled nonlinear chemical reaction systems.

Keywords: CELLULAR NEURAL NETWORK; EDGE OF CHAOS; CHEMICAL REACTION SYSTEMS; CELLULAR NEURAL NETWORK MODELING; NUMERICAL SIMULATION

Document Type: Research article

DOI: http://dx.doi.org/10.1166/jctn.2007.009

Publication date: 2007-11-01

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• Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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