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Towards a bifurcation theory for nonautonomous difference equations
Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. This article contains an approach to overcome this deficit in the context of nonautonomous difference equations.
Martin Rasmussen
exaly +4 more sources
The Dynamics of Urban Spatial Structure: Some Exploratory Results Using Difference Equations and Bifurcation Theory [PDF]
It is demonstrated that a simple difference equation model, which exhibits complex bifurcation behaviour, can be used to represent change in urban retailing and residential systems. These submodels are combined to form a rudimentary dynamic model of urban spatial structure.
M Clarke, A G Wilson
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Stability and Bifurcation Analysis of Fifth-Order Nonlinear Fractional Difference Equation
Fractal and Fractional, 2023Abdul Khaliq +2 more
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Stability and flip bifurcation of a three-dimensional exponential system of difference equations
Mathematical Methods in the Applied Sciences, 2021Garyfalos Papaschinopoulos +2 more
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Bifurcation Analysis and Chaos Control in a Second-Order Rational Difference Equation
International Journal of Nonlinear Sciences and Numerical Simulation, 2018Qamar Din, Abdelalim Elsadany
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