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Behavior of Dynamical Systems Governed by a Simple Nonlinear Difference Equation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Many dynamical systems and mechanics problems are governed by nonlinear difference equations. These equations have also been used increasingly to model problems in population dynamics, economics, ...
Determination of Global Regions of Asymptotic Stability for Difference Dynamical Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper certain global properties of dynamical systems governed by nonlinear difference equations are studied. When an asymptotically stable equilibrium state or periodic solution exists, ...