Abstract
A parameter dependent family of maps \(z \mapsto f(z,\alpha )\) with a real or complex variable and parameter is studied. We deal with dynamics and bifurcations of iterates of this map in dependence on the parameter \(\alpha \) and real bifurcations are analysed in a section of the phase-parameter complex hyperplane. Structure of bifurcation polynomials of polynomial maps will be presented on a logistic map.
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Přibylová, L. (2019). Bifurcations of One-Dimensional One-Parametric Maps Revisited. In: Skiadas, C., Lubashevsky, I. (eds) 11th Chaotic Modeling and Simulation International Conference. CHAOS 2018. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-15297-0_20
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DOI: https://doi.org/10.1007/978-3-030-15297-0_20
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