Control and optimization
Decision theory
Mathematical modeling of ecological-economic systems
G.K. Kamenev Study of bifurcation properties of population by metric nets
Design Automation
G.K. Kamenev Study of bifurcation properties of population by metric nets


In the article bifurcation properties of biological population are studied by (e, d)-nets (Shannon) construction. Difference equation (discrete mapping) with environment type parameters for the population dynamics is used. It is shown that the method proposed can be used to construct and visualize the bifurcation diagram for arbitrary curve in the parameters space.


biological population, discrete mapping, metric net, approximation, attractor, bifurcation diagram.

PP. 26-29.


1. Georgy K. Kamenev, Oleg P. Lyulyakin, Dmitry A. Sarancha, Nikolai A. Lysenko, Valery O. Polyanovskii. From chaos to order. Difference equations in one ecological problem // Russ. J. Numer. Anal. Math. Modelling 2016, 31 (5), Pp. 253-265.
2. Kamenev G.K. Approximation of Completely  Bounded Sets by the Deep Holes Method // Comput. Maths. Math. Phys. 2001. Vol.41. N11. Pp. 1667-1675.
3. Shennon K. Matematicheskaya teoriya svyazi, prilozhenie 7. V kn. Rabotyi po teorii informatsii i kibernetike. [The Mathematical Theory of Communication, Appendix 7. In the book. Works on the theory of information and cybernetics.] M.: Izd. Inostrannoy Literaturyi, 1963.


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