P. Grinevich

activity

19942025

most citedNewtonian dynamics in the plane corresponding to straight and cyclic motions on the hyperelliptic curve

μ^{2} = ν^{n} - 1, n \in Z

: ergodicity, isochrony, periodicity and fractals

35 citations · 235 across the 38 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math-ph2015

On the s-meromorphic OD operators

P. G. Grinevich, S. P. Novikov

We consider linear spectral-meromorphic (s-meromorphic) OD operators at the real axis such that all local solutions to the eigenvalue problems are meromorphic for all $λ$ . By defin…

nlin.SI2015★ 20 cited

Rational degeneration of M-curves, totally positive Grassmannians and KP2-solitons

Simonetta Abenda, Petr G. Grinevich

We establish a new connection between the theory of totally positive Grassmannians and the theory of $M$ -curves using the finite--gap theory for solitons of the KP equation…