Nonintegrability of the unfoldings of codimension-two bifurcations

DOI10.1088/1361-6544/ab60d4zbMath1439.37053arXiv1904.02346OpenAlexW2933536726MaRDI QIDQ5216271

Kazuyuki Yagasaki, Primitivo Belén Acosta-Humánez

Publication date: 17 February 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02346

zbMATH Keywords

planar polynomial vector fieldnonintegrabilityunfoldingMorales-Ramis theoryfold-Hopf bifurcationdouble-Hopf bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (3)

Nonintegrability of truncated Poincaré-Dulac normal forms of resonance degree two ⋮ Integrability and dynamics of the Poisson-Boltzmann equation in simple geometries ⋮ Nonintegrability of dynamical systems near degenerate equilibria

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