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Conditions of cycle stability for the Hopf bifurcation at infinity

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Publication:1289160
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zbMath0920.34040MaRDI QIDQ1289160

N. A. Kuznetsov, M. G. Yumagulov, Mark A. Krasnosel'skii

Publication date: 16 September 1999

Published in: Automation and Remote Control (Search for Journal in Brave)


zbMATH Keywords

instabilityasymptoticsHopf bifurcationorbital asymptotic stabilitylarge-amplitude cycles


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Asymptotic properties of solutions to ordinary differential equations (34D05)


Related Items (3)

Hopf bifurcation at infinity and dissipative vector fields of the plane ⋮ On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity ⋮ Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity







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