Instability of equilibria in dimension three
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Publication:1272256
DOI10.5802/AIF.1657zbMath0930.37025OpenAlexW2318397156MaRDI QIDQ1272256
Publication date: 29 November 1998
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_5_1345_0
invariant manifoldsEuler characteristicisolated singular pointblow-upsstability problemsunstable pointanalytic vector fieldsirreducible analytic subvarietysingularities of vector field
Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamical aspects of holomorphic foliations and vector fields (37F75)
Related Items (14)
On the integrability of circulatory systems ⋮ Averaging methods of arbitrary order, periodic solutions and integrability ⋮ Limit cycles of generic piecewise center-type vector fields in \(\mathbb{R}^3\) separated by either one plane or by two parallel planes ⋮ On instability in systems with an integral invariant ⋮ Nonanalytic first integrals of analytic systems of differential equations in a neighborhood of stable equilibria ⋮ First integrals and asymptotic trajectories ⋮ Instability of equilibria in a solenoidal force field ⋮ On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems ⋮ Stratification of three-dimensional real flows I: fitting domains ⋮ Blowings-Up of Vector Fields ⋮ Integrals of circulatory systems which are quadratic in momenta ⋮ Real analytic vector fields with first integral and separatrices ⋮ On the Lyapunov instability in Newtonian dynamics ⋮ The index of stable critical points
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