Global attractivity without stability for Liénard type systems (Q1599734)

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scientific article; zbMATH DE number 1751251
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English
Global attractivity without stability for Liénard type systems
scientific article; zbMATH DE number 1751251

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    Global attractivity without stability for Liénard type systems (English)
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    22 October 2003
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    The paper is concerned with presenting conditions such that the trivial solution to the planar system of differential equations \[ x'(t)=\varphi(x(t),y(t)),\quad y'(t)=-g(x(t)), \] is globally attractive but not stable. Several conditions of this kind are obtained.
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    global attractivity
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    stability
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    Liénard type systems
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