130 citations · 430 across the 23 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
nlin.CD2020★ 1 cited
Preperiodicity and systematic extraction of periodic orbits of the quadratic map
Jason A. C. Gallas
Iteration of the quadratic map produces sequences of polynomials whose degrees {\sl explode} as the orbital period grows more and more. The polynomial mixing all 335 period-12 orbi…
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}…
math.NT2020★ 2 cited
Monogenic period equations are cyclotomic polynomials
Jason A. C. Gallas
We study monogeneity in {\sl period equations}, , the auxiliary equations introduced by Gauss to solve cyclotomic polynomials by radicals. All monogenic of degrees…