Modeling evolutionary dynamics of complex ecosystems using combined chaos theory and neural networks methods: I. Formal theoretical basis for application to environmental radioactivity dynamics
Date
2017-09-08
Journal Title
Journal ISSN
Volume Title
Publisher
Lviv Politechnic Publishing House
Abstract
We present elements of the formal
mathematical approach to the analysis, modeling and
further prediction of the nonlinear dynamics of chaotic
systems based on the methods of nonlinear analysis and
neural networks. As the object of studing is the
environmental radioactivity dynamics. Using such a
combined method is proposed for the first time in the
environmental radioactivity dynamnics studying. Use of
the information about the phase space in the simulation
of the evolution of the physical process in time can be
considered as a major innovation in the modeling of
chaotic processes in the complex systems. This concept
can be achieved by constructing a parameterized nonlinear
function F (x, a), which transform y (n) to y(n+1) =
= F[y(n),a], and then use different criteria for
determining the parameters a . Firstly to build the
desired functions it is offered using the wavelet
expansions. Further, since there is the notion of local
neighborhoods, we can create a model of the process
occurring in the neighborhood, at the neighborhood and
by combining together these local models to construct a
global non-linear model to describe most of the structure
of the attractor.
Description
Keywords
environmental radioactivity dynamics, the ecological state, time series of concentrations, pollutants, analysis and prediction methods of the theory of chaos
Citation
Modeling evolutionary dynamics of complex ecosystems using combined chaos theory and neural networks methods: I. Formal theoretical basis for application to environmental radioactivity dynamics / Alexander Glushkov, Olga Khetselius, Tamerlan Safranov, Vasily Buyadzhi, Anna Ignatenko, Andrey Svinarenko // Environmental Problems. — Lviv : Lviv Politechnic Publishing House, 2017. — Vol 2. — No 3. — P. 157–164.