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Dynamics Analysis and Fractional-Order Approximate Entropy of Nonlinear Inventory Management Systems
Author(s) -
Tengfei Lei,
Rita Yi Man Li,
Haiyan Fu
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/5516703
Subject(s) - lyapunov exponent , nonlinear system , attractor , mathematics , chaotic , approximate entropy , entropy (arrow of time) , equilibrium point , statistical physics , mathematical analysis , computer science , physics , time series , statistics , quantum mechanics , artificial intelligence , differential equation
Inventory management is complex nonlinear systems that are affected by various external factors, including course human action and policy. We study the inventory management model under special circumstances and analyse the equilibrium point of the system. The dynamics of the system is analysed by means of the eigenvalue trajectory, bifurcations, chaotic attractor, and largest Lyapunov exponent diagram. At the same time, according to the definition of fractional calculus, the fractional approximate entropy is used to analyse the system, and the results are consistent with those of the largest Lyapunov exponent diagram, which shows the effectiveness of this method.

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