Industrial Parks in Russia: Conceptual Development of Projects

The paper presents a theoretical framework of industrial parks effectiveness as an element of economic policy to accelerate economy development in regions or municipalities. The article studies how historically such instruments were used in modern Russia. The paper states the necessity of extensive development of the industrial park concept and how it affects the chances of project realization and potential economic effectiveness. The main parts and blocks that should be taken into account during concept preparations are highlighted, and proposals for their content are made

Hyperbolic Chaos of Turing Patterns

We consider time evolution of Turing patterns in an extended system governed by an equation of the Swift-Hohenberg type, where due to an external periodic parameter modulation long-wave and short-wave patterns with length scales related as 1:3 emerge in succession. We show theoretically and demonstrate numerically that the spatial phases of the patterns, being observed stroboscopically, are governed by an expanding circle map, so that the corresponding chaos of Turing patterns is hyperbolic, associated with a strange attractor of the Smale-Williams solenoid type. This chaos is shown to be robust with respect to variations of parameters and boundary conditions.Comment: 4 pages, 4 figure

Instanton bundles on Fano threefolds

We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.Comment: 31 page, to appear in CEJ