Modeling of complicated systems using methods of graphodynamics and discrete differential geometry

Project type: Program-targeted funding for the Science Committee Ministry of Education and Science of the RK

Code of the project: № APOS 134227 (01.01.2018 – 31.12.2020)

Title: Modeling of complicated systems using methods of graphodynamics and discrete differential geometry.

The object of research, development or design: Complex natural and man-made systems.

Aim of work: Modeling of complex systems by the methods of graph-dynamics based on the synthesis of discrete differential geometry and graph theory.

Research methods: Network models of distributed systems based on graph theory and discrete differential geometry. The spatial complexity of the system is encoded by weighted vertices and edges of the approximating graph. A change in the system over time leads to a reorganization of the graph in time — graph-dynamics. The quantitative descriptors are the spectrum of the discrete Laplacian and the discrete Ricci curvature. Graphodynamics can serve as a universal model of processes and systems in biology, computer science, engineering, transport, physics, chemistry, neurophysiology, medicine, and astronomy.

Field of application: Graphic dynamics can serve as a universal model of processes and systems in computer science, engineering, transport, physics, neurophysiology, medicine and astronomy. One of the main objectives of the project is the selection of pre-flare regimes of the Active Sun Regions that determine the parameters of space weather.

Project Investigator: Karimova L.M. (IICT CS MES RK) 

The organization – executor: IICT CS MES RK