Economic systems exhibit many types of bifurcations such as pitchfork bifurcations in the tatonement process, transcritical bifurcations in the Bergstrom-Newman-Wymer continuous-time macroeconometric model, Hopf bifurcations in the growth models.
The goal of the proposed project is the construction and the verification of a new model of a financial market's behaviour. The model is aimed to assume the heterogeneity of the agents and the non-synchronicity of the agent's actions, to consider the microstructure of the market (i.e.
The proposed project deals with urban traffic feedback control systems. The general objective of the project is the enrichment of the complete design line of LQG controllers so that it will cover steps related to state estimation, ideally with mixed-type (continuous and discrete) states.
Knowledge system, which has been designed, will implement basic tasks with geodata:
1. classification of digital images,
2. georeferencing,
3. definition of basic parametres of the gravity field,
4.
Phase transitions of complex systems are studied with help of probabilistic and analytic methods. The techniques of Pirogov-Sinai theory and cluster expansion are further developed and applied.
Cílem projektu je zvýšení rozlišení (superresolution – SR) digitálních snímků a videa. Úkolem SR je vylepšit prostorové rozlišení snímků a překročit fyzikální omezení senzorů. Ústřední myšlenka SR spočívá ve sloučení sekvence snímků s nízkým rozlišením a vytvoření snímku s vysokým rozlišením.
The development of the methodology for quality improvement, diagnostics and reliability analysis of production and technological processes, namely with respect to their aplicability in praxis. The advancement of complex analytical methods, leading to increase of competitiveness of industial works.