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Integrating the enveloping technique with the expansion strategy to establish stability
Ziyad AlSharawi, Jose S. Cánovas
In this paper, we focus on finding one-dimensional maps that detect global stability in multidimensional maps. We consider various local and global stability techniques in discrete…
Increasing delay as a strategy to prove stability
Ziyad AlSharawi, Jose S. Cánovas
We consider difference equations of the form and increase the delay through a process of successive substitutions to obtain a sequence of syste…
Constrained polynomial roots and a modulated approach to Schur stability
Ziyad AlSharawi, Jose S. Cánovas, Sadok Kallel
It is common in stability analysis to linearize a system and investigate the spectrum of the Jacobian matrix. This approach faces the challenge of determining the matrix spectrum w…
Global stability in the Ricker model with delay and stocking
Ziyad AlSharawi, Sadok Kallel
We consider the Ricker model with delay and constant or periodic stocking. We found that the high stocking density tends to neutralize the delay effect on stability. Conditions are…
Attractors in -dimensional discrete systems of mixed monotonicity
Ziyad AlSharawi, Jose S. Cánovas, Sadok Kallel
We consider -dimensional discrete-time systems of the form in which the map is continuous and monotonic in each one of its arguments. We de…
Extension, embedding and global stability in two dimensional monotone maps
Ahmad Al-Salman, Ziyad AlSharawi, Sadok Kallel
We consider the general second order difference equation in which is continuous and of mixed monotonicity in its arguments. In equations with negative…