Geodesic
On a dynamic hereditarity system that simulates the economic cycle
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 55-61

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The paper presents a mathematical model that generalizes the famous Kondratiev cycles model (model Dubovskiy) used to predict economic crises. This generalization is to integrate the memory effect, which occurs frequently in the economic system. With the help of numerical methods, to receive a generalized model, according to which the phase paths have been built.
Mots-clés : cycles, the fractal dimension.
Keywords: the economic crisis, the model Dubovskiy, fractional derivative operator Gerasimova-Caputo, a memory effect 
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     author = {D. V. Makarov},
     title = {On a dynamic hereditarity system that simulates the economic cycle},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {55--61},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2016_2_a8/}
}
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D. V. Makarov. On a dynamic hereditarity system that simulates the economic cycle. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2016), pp. 55-61. http://geodesic.mathdoc.fr/item/VKAM_2016_2_a8/