About a system of piecewise linear difference equations with many periodic solutions

DOI10.1007/978-3-031-51049-6_2MaRDI QIDQ6616675

Inese Bula, Agnese Sīle

Publication date: 9 October 2024

zbMATH Keywords

stabilityperiodic solutionequilibriumsystem of difference equationseventually periodic solution

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23)

Cites Work

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• On the global character of the system of piecewise linear difference equations \(x_{n+1}=|x_{n}| - y_{n} - 1\) and \(y_{n+1}=x_{n} - |y_{n}|\)
• A piecewise linear model for the zones of instability of an area- preserving map
• The stable equilibrium of a system of piecewise linear difference equations
• On the periodic behavior of a system of piecewise linear difference equations
• Periodic solutions of a generalized system of piecewise linear difference equations
• On the global behaviour of a system of piecewise linear difference equations
• On the global behavior of <img width=404 height=28 id="_x0000_i1030" src="http:/fbpe/img/cubo/v14n2/art7.1.gif" alt="Descripción: http:/fbpe/cubo/v14n2/art7.1.gif">
• Periodic Solutions of the Second Order Quadratic Rational Difference Equation $$x_{n+1}=\frac{\alpha }{(1+x_n)x_{n-1}} $$ x n + 1 = α ( 1 + x n ) x n - 1

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