Center Problem for the Group of Rectangular Paths

zbMath1180.37115arXiv0812.5100MaRDI QIDQ3645849

Alexander Brudnyi

Publication date: 18 November 2009

Full work available at URL: https://arxiv.org/abs/0812.5100

zbMATH Keywords

iterated integralscenter problemgroup of rectangular paths

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (4)

Shuffle and Faà di Bruno Hopf algebras in the center problem for ordinary differential equations ⋮ Some algebraic aspects of the center problem for ordinary differential equations ⋮ Polynomial differential equations with piecewise linear coefficients ⋮ Algebraic geometry of Abel differential equation

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