Jenkins–Strebel differentials with poles

Organismal Differentials and Organ Differentials.

Weil’s converse theorem with poles

We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial Dirichlet characters to have arbitrary poles.

The Cauchy–nicoletti Problem with Poles

The Cauchy–Nicoletti boundary value problem for a system of ordinary differential equations with pole-type singularities is investigated. The conditions of the existence, uniqueness, and nonuniqueness of a solution in the class of continuously differentiable functions are given. The classical Banach contraction principle is combined with a special transformation of the original problem. Introdu...

Rational Function Computing with Poles and Residues

Computer algebra systems (CAS) usually support computation with exact or approximate rational functions stored as ratios of polynomials in “expanded form” with explicit coefficients. We examine the consequences of using a partial-fraction type of form in which all rational functions are expressed as a polynomial plus a sum of terms each of which has a denominator consisting of a monic univariat...

Nested Saturation with Guaranteed Real Poles

The global stabilization of asymptotically nullcontrollable linear systems with bounded controls has been studied extensively. An early contribution was by Teel [6] who proposed a set of nested saturators to globally asymptotically stabilize the special case of nintegrators with one input. Using this law however, the closed loop system pole locations depend on the choice of coordinate transform...