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Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
(Mdpi Ag, 2013-10-01)
Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is ...
A NOTE ON QUASI n-MAPS
(Universidad Católica del Norte, Departamento de Matemáticas, 2004)
Mapping an interval by a cubic polynomial
(Wolfram Demonstration Project, 2011)
Mapping an interval by a cubic polynomial
(Wolfram Demonstration Project, 2016)
Stability analysis for the Chua circuit with cubic polynomial nonlinearity based on root locus technique and describing function method
(2020-12-01)
This work investigates the dynamics of the Chua circuit with cubic polynomial nonlinearity using methods for stability analysis based on linearization and frequency response. Root locus technique maps eigenvalues of the ...
Wandering intervals in affine extensions of self-similar interval exchange maps: The cubic Arnoux-Yoccoz map
(Cambridge University Press, 2018)
In this article, we provide sufficient conditions on a self-similar interval exchange map, whose renormalization matrix has complex eigenvalues of modulus greater than one, for the existence of affine interval exchange ...