The 16th Hilbert problem for discontinuous piecewise linear differential systems separated by the algebraic curve \(y = x^n\)
DOI10.1007/s11040-023-09467-4MaRDI QIDQ6072345
Publication date: 13 October 2023
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
limit cyclenon-smooth differential systemlinear centersdiscontinuous piecewise linear differential systemlinear Hamiltonian saddles
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Linear ordinary differential equations and systems (34A30) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)
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