Analogues of the Bendixson and Dulac criteria for dynamical systems of arbitrary orders
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Publication:1881881
zbMATH Open1055.37513MaRDI QIDQ1881881
Publication date: 18 October 2004
Published in: Automation and Remote Control (Search for Journal in Brave)
absence of closed trajectories and autooscillations of dynamical systemsnonexistence of attractors of positive measuresimply-connected domain of the phase planewhole trajectories of an autonomous dynamical system
Dynamics induced by flows and semiflows (37C10) Qualitative theory for ordinary differential equations (34C99)
Related Items (3)
Constructing dynamical systems on partially ordered sets by the L. S. Pontryagin-B. B. Pshenichnyi method. ⋮ Some examples describing the need of modifying the Bendixson criterion for piecewise \(C^1\)-systems ⋮ A Bendixon–Dulac theorem for some piecewise systems
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