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Short-term Fluctuations and Fluctuations in the Development Dynamics of Fixed Assets of Industry

Beisembina Saltanat, Beisenbi Mamyrbek, Kissikova Nurgul, Shukirova Aliya

Management and Production Engineering Review

2023

Vol. 14, No. 4

100--108

The purpose of the article is to create a concise nonlinear mathematical model for analyzing the growth of fixed assets in a specific industry. The emergence of chaotic behaviour in economic systems was explored, focusing on fluctuations. The study employed methods such as systems analysis, correlation analysis, nonlinear dynamics, and differential equations. It was identified that sharp technological innovations as the primary drivers of short-term fluctuations impacting fixed asset development. The resulting nonlinear dynamic model allowed for flexible operation, transitioning between equilibrium, periodic, and chaotic states based on coefficient values for asset growth rates and time constants reflecting economic system dynamics.

Set-membership identifiability of nonlinear models and related parameter estimation properties

Jauberthie C., Travé-Massuyès L., Verdière N.

International Journal of Applied Mathematics and Computer Science

2016

Vol. 26, no. 4

803--813

Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, μ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-consistency are proposed to characterize these problems and the solution returned by the algorithm used to solve them. This paper also contributes by carefully motivating and comparing SM-identifiability, μ-SM-identifiability and ε-SM-identifiability with related properties found in the literature, and by providing a method based on differential algebra to check these properties.

Finite element analysis of abrasive waterjet machining

Hassan A.I.

Prace Naukowe Katedry Budowy Maszyn / Politechnika Śląska

2001

nr 1

6-118