130 citations · 430 across the 23 of their papers we have counts for
23 papers
Gauss periods are minimal polynomials for totally real cyclic fields of prime degree
Jason A. C. Gallas
We report extensive computational evidence that Gauss period equations are minimal discriminant polynomials for primitive elements representing Abelian (cyclic) polynomials of prim…
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…
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}…
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…
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…
Zip and velcro bifurcations in competition models in ecology and economics
Jason A. C. Gallas
During the last six years or so, a number of interesting papers discussed systems with line segments of equilibria, planes of equilibria, and with more general equilibrium configur…