Abstract
This paper presents some interactive tools, created in the computer algebra system SageMath, dealing with the stability and bifurcation for one- and two-dimensional discrete systems. The tools, geometrically, give information about the types of bifurcations (if any) and possible effects caused by the parameters. Using these tools, one can also obtain the basins of attraction of the fixed and periodic points, and the stability regions in parameter space.
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Kapçak, S. (2023). SageMath Tools for Stability and Bifurcation for Discrete Dynamical Systems. In: Elaydi, S., Kulenović, M.R.S., Kalabušić, S. (eds) Advances in Discrete Dynamical Systems, Difference Equations and Applications. ICDEA 2021. Springer Proceedings in Mathematics & Statistics, vol 416. Springer, Cham. https://doi.org/10.1007/978-3-031-25225-9_13
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DOI: https://doi.org/10.1007/978-3-031-25225-9_13
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