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Thom's conjecture on singularities of gradient vector fields

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Publication:1198475
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DOI10.2996/KMJ/1138039532zbMath0762.34011OpenAlexW2067724452WikidataQ123301239 ScholiaQ123301239MaRDI QIDQ1198475

Fumio Ichikawa

Publication date: 16 January 1993

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/82270


zbMATH Keywords

singularitiesreal analytic functionintegral curvegradient vector fieldThom conjecture


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Real algebraic and real-analytic geometry (14P99) Local and nonlocal bifurcation theory for dynamical systems (37G99)


Related Items (3)

A convex function satisfying the Łojasiewicz inequality but failing the gradient conjecture both at zero and infinity ⋮ On trajectories of analytic gradient vector fields ⋮ Non-oscillating solutions of analytic gradient vector fields




Cites Work

  • Singularities of vector fields




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