most citedOrbital carriers and inheritance in discrete-time quadratic dynamics

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nlin.CD2020★ 3 cited

Orbital carriers and inheritance in discrete-time quadratic dynamics

Jason A. C. Gallas

Explicit formulas for {\sl orbital carriers} of periods , , and are reported for discrete-time quadratic dynamics. A systematic investigation of {\sl orbital inheritance}…

nlin.CD2019

Field discriminants of cyclotomic period equations

Jason A. C. Gallas

We show that several orbital equations and orbital clusters of the quadratic (logistic) map coincide surprisingly with cyclotomic {\it period equations}, polynomials whose roots ar…