Weak infinitesimal Hilbert's 16th problem

DOI10.1134/S0081543806030102zbMath1351.34034MaRDI QIDQ2342250

I. A. Khovanskaya

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

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) Periodic orbits of vector fields and flows (37C27) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (1)

Method for generating asynchronous self-sustained oscillations of a mechanical system with two degrees of freedom

Cites Work

• Invariant elements in modular lattices
• Petrov modules and zeros of abelian integrals
• Tangential Hilbert problem for perturbations of hyperelliptic Hamiltonian systems
• Deformations of holomorphic foliations having a meromorphic first integral.
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