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Nonlinear systems' equilibrium points: Branching, blow-up and stability

Sidorov N., Sidorov D., Li Y. Nonlinear systems' equilibrium points: Branching, blow-up and stability // Journal of Physics: Conference Series. Vol.1268. No.1. ID: 012065. 2019. DOI: 10.1088/1742-6596/1268/1/012065 This article considers the nonlinear dynamic model formulated as the system of differential and operator equations. This system is assumed to enjoy an equilibrium point. The Cauchy problem with the initial condition with respect to one of the desired functions is formulated. The second...

Теги: chemical analysis , continuum mechanics , differential equations , dynamic models , dynamics , mathematical operators , chemical process , differential algebraic equations , equilibrium point , global classica
Раздел: ИСЭМ СО РАН
Study of unsteady oligopoly markets

... Mathematics. Vol.11. No.1. 2017. P.8-16. DOI: 10.1134/S1990478917010021 Under study is some simulation model of an oligopolisticmarket in continuous time. For the suppliers (oligopolists) the two rules of behavior are defined by a system of ordinary differential equations. The scenario determines the strategy that is used by the supplier, including the possibility of changing it during the interaction. It is shown, that there are possible stationary states in the model when a supplier profitability ...

Теги: consumer , market equilibrium , oligopoly , simulation model , supplier , commerce , competition , continuous time systems , differential equations , profitability , market equilibria , ordinary differential equations
Раздел: ИСЭМ СО РАН
Applicability of Volterra integral polynomials in the control systems of electric power facilities

Solodusha S., Suslov K., Gerasimov D. Applicability of Volterra integral polynomials in the control systems of electric power facilities // Proceedings of 2016 International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2016. 1 p. ISBN (print): 9 781 467 . DOI: 10.1109/STAB.2016.7541227 The paper presents an approach to the construction of a system for automatic control of nonlinear dynamic objects on the basis of Volterra polynomials...

Теги: automation , control system stability , control systems , differential equations , nonlinear control systems , nonlinear equations , system stability , wind turbines , dynamic characteristics , electric power
Раздел: ИСЭМ СО РАН


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