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Section B

Stability analysis in a second-order differential equation with delays

Pages 1345-1354 | Received 27 Apr 2010, Accepted 06 Mar 2012, Published online: 30 Apr 2012
 

Abstract

A second-order differential equation with finite discrete delays is considered. Local stability of the zero equilibrium is investigated, and we obtain some sufficient conditions for the zero equilibrium is stable or unstable. Moreover, it is found that there exist the local Hopf bifurcations of the system when the delay varies.

AMS Subject Classification :

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