The finite-wavelength instability gives rise to a new type of wave in reaction-diffusion systems: packet waves, which propagate only within a wave packet, are found in experiments on the Belousov-Zhabotinsky reaction dispersed in water-in-oil AOT microemulsion (BZ-AOT) as well as in model simulations. Inwardly moving packet waves with negative curvature occur in experiments and in a model of th...

The discovery of the chaotic behavior of the planetary orbits in the Solar System (Laskar, 1989, 1990) was obtained using numerical integration of averaged equations. In (Laskar, 1994), these same equations are integrated over several Gyr and show the evidence of very large possible increase of the eccentricity of Mercury through chaotic diffusion. On the other hand, in the direct numerical int...

Cross diffusion is a phenomena in which a gradient in the concentration of one species induces a flux of another chemical species which was generally been neglected in the study of reaction-diffusion systems. We study the Turing bifurcation of two species reaction transport systems, where particle dispersal is governed by diffusion and cross diffusion. we performed linear stability analysis to ...

Optical diffusion tomography (ODT) has recently found renewed interest by the scientific and medical community due to advances in imaging electronics, computer processing power, development of tumor marking dyes, and image reconstruction algorithms. The development of this technology may allow the use of near infra red and infra red light to image internal structures of tissue without the use o...

IS scholars have been studying the diffusion of Information and Communication Technologies (ICT) for some time now and certain research methods have emerged as the dominant ones in this body of literature. In this paper, we first note these methods citing representative studies and then present an alternate approach to studying ICT diffusion using systems dynamics (SD). Any diffusion, by nature...

The paper analyzes the geographical diffusion of system dynamics in academia using information on the affiliations of authors who have contributed to the System Dynamics Review. The paper develops and interprets a set of descriptive indicators that allow the identification of sustainable adoptions of system dynamics in a particular country. Longitudinal analyses indicate difficulties in the dif...

L = 1 2∇ · a∇ + b · ∇ on D ⊆ R and whose spatially dependent branching term is of the form β x z − α x z2, x∈D where β satisfies a very general condition and α > 0. In the case that α and β are bounded from above, we show that the measurevalued process can also be obtained as a limit of approximating branching particle systems. We give criteria for extinction/survival, recurrence/transience of ...

An open-loop control for a system coupling a reaction-diffusion system and an ordinary differential equation is proposed in this study. We use a flatness-like property, indeed, the solution can be expressed in terms of an infinite series depending on a flat output, its derivatives and its integrals. This series is shown to be convergent if the flat output is Gevrey of order 1 < a ≤ 2. Approxima...