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Stability and Bifurcations of Equilibria in a Multiple-Delayed Differential Equation
1994
SIAM Journal on Applied Mathematics
Preserved Fulltext
The influence of multiple negative delayed feedback loops on the stability of a single-action mechanism are considered. A characteristic equation for the linearizcd stability of the equilibrium is completely analyzed, as a function of two parameters describing a delay in one loop and a ratio of the gains in the two feedback loops. The bifurcations occurring as the linear stability is lost are analyzed by the construction of a centre manifold. In particular, the nature of Hopf and more
doi:10.1137/s0036139993248853
fatcat:p32myp2uobb3lkpazgwimgz53e