activity
20092025
most citedNew lower bound for the Hilbert number in piecewise quadratic differential systems

64 citations · 81 across the 10 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.DS2022

Time-reversibility and integrability of p:-q resonant vector fields

Jaume Gine, Valery G. Romanovski, Joan Torregrosa

We study local analytical integrability in a neighborhood of resonant singular point of a two-dimensional vector field and its connection to time-reversibility with respect…

math.DS2022

Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line

Leonardo P. C. da Cruz, Joan Torregrosa

We solve the center-focus problem in a class of piecewise quadratic polynomial differential systems with an invariant straight line. The separation curve is also a straight line wh…