Objective
The aim of the project is to achieve a quantitative description of how complex dynamical systems respond to an external force. The solution of this problem will involve:
theoretical analyses of the stationary and nonstationary dynamics of complex model systems under slow variations of their control parameters, while being forced externally by regular signals and noise;
the development of techniques for obtaining all possible information about the state of the system by means of numerical analysis of the one-dimensional experimental time series derived from it;
formulation of quantitative measures characterising the stationary and nonstationary processes, thus allowing one to determine uniquely the state of the initial system.
The principal result of the completed work will be a set of criteria - based on the totality of measurable characteristics of the complex processes - that can be used to diagnose the nature and state of the dynamical system under study, even in cases when it is evolving in time. Some of the first practical applications of the new knowledge will be to data derived from biological experiments, the ultimate aim being to develop techniques of early diagnosis applicable to a variety of medical pathologies.
The attainment of this goal requires a coherent interdisciplinary research programme. It will involve work by a team of participants including, on the one hand, physicists with specialist knowledge of nonlinear dynamics and mathematical modeling and, on the other hand, biologists and physicians able to make the relevant measurements on living organisms including humans.
Topic(s)
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14415 Poam
Germany