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The no-queer-constrictions conjecture

A negative constriction (B0,A0)(B_0,A_0) is one whose phase-lock-area interior germ lies on one side of the vertical line {B=B0}\{B=B_0\}, while the origin (0,0)(0,0) lies on the other side. Such a negative constriction is called queer.

The no-queer-constrictions conjecture. There are no queer constrictions.

The source identifies this as a stronger conjecture related to the positivity and geometry of constrictions. It gives no resolution of the claim in the supplied text.

Sources & referencesView supporting material

Primary source

Alexey Glutsyuk, “On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of double confluent Heun equation”, arXiv:1805.02624 (2018).

dynamical-systemsjosephson-effectphase-lock-areas

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