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- W4362590211 abstract "Stability and bifurcation properties of one-dimensional discrete dynamical systems with positivity, which are derived from continuous ones by tropical discretization, are studied. The discretized time interval is introduced as a bifurcation parameter in the discrete dynamical systems, and emergence condition of an additional bifurcation, flip bifurcation, is identified. Correspondence between the discrete dynamical systems with positivity and the ultradiscrete ones derived from them is discussed. It is found that the derived ultradiscrete max-plus dynamical systems can retain the bifurcations of the original continuous ones via tropical discretization and ultradiscretization." @default.
- W4362590211 created "2023-04-06" @default.
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- W4362590211 date "2023-04-01" @default.
- W4362590211 modified "2023-10-16" @default.
- W4362590211 title "Relation of stability and bifurcation properties between continuous and ultradiscrete dynamical systems via discretization with positivity: One dimensional cases" @default.
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- W4362590211 doi "https://doi.org/10.1063/5.0137636" @default.
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