arXiv subjects

Guy Katriel

Publications and source records attributed to Guy Katriel.

38 records · Page 3Linked to original sources

arXiv2003

Stability of synchronized oscillations in networks of phase-oscillators

We derive simple conditions for the stability or instability of the synchronized oscillation of a class of networks of coupled phase-oscillators, which includes many of the systems used in neural modelling.

nlin.PS↗

arXiv2002

Solution to Rubel's question about differentially algebraic dependence on initial values

We prove that, for generic systems of polynomial differential equations, the dependence of the solution on the initial conditions is not differentially algebraic. This answers, in the negative, a question posed by L.A. Rubel.

math.CA↗