Abstract
Discrete models are versatile and effective tools for assessing and addressing a wide range of scientific and practical problems. As a type of discrete model, the difference equation model has been widely employed in domains such as algorithm analysis, signal processing, biology, economics, and computer science. The global dynamical behavior of a class of discrete models known as the max-type difference equation model is the subject of the research. The purpose of this work is to look into the behavior of the solution of the following four-order max-type difference equation: z i + 1 = max A i / z i , z i − 3 , i = 0,1,2 , … .
Highlights
E condition value of the qualifying product is a range rather than a fixed value in some quality control situations
Mozaffari proposed an intelligent framework for determining the exhaust gas temperature (T ex) and hydrocarbon emissions (HC raw) from an automobile engine during cold start operation in [14]. e conditional parameter values are unknown since the cold start operation is treated as a temporary and uncertain phenomenon, the adaptive neuro-fuzzy inference computation and fuzzy logic controller are employed in the work
In [18], Fan used a difference equation model to examine a class of discrete SEIRS modeling techniques with general nonlinear occurrence and a discrete SEIRS epidemic model with standard occurrence. e condition that the sickness is permanent or that the model has a unique endemic equilibrium that is globally appealing is given by this equation model. ere has been a lot of interest in investigating the dynamics of the max-type difference equation model in few years. ese findings are useful in and of themselves, but they can provide insight into their disparate equivalents. e study of max-type difference equations has recently gained a lot of interest
Summary
E condition value of the qualifying product is a range rather than a fixed value in some quality control situations. E study of max-type difference equations has recently gained a lot of interest. Ere has been a lot of interest in investigating the dynamics of the max-type difference equation model in few years (see [19,20,21,22,23,24,25]). In a recent paper [27], it was demonstrated that every solution of the four-order max-type difference (10) with arbitrary nonzero real values as initial conditions and Ai constant ∈ R is periodic with period four. In [33], the authors propose, for the sake of dialogue, that the nonautonomous reciprocal max-type difference equation, xn+1
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