We investigate an important relationship that exists between the Hopf bifurcation in the singularly perturbed nonlinear power systems and the singularity induced bifurcations (SIBs) in the corresponding different- tial-algebraic equations (DAEs). In a generic case, the SIB phenomenon in a system of DAEs signals Hopf bifurcation in the singularly perturbed systems of ODEs. The analysis is based on the linear matrix pencil theory and polynomials with parameter dependent coefficients. A few numerical examples are included.
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机译:ada编译器验证摘要报告。证书编号:900726W1.11017,Verdix Corporation VaDs IBm RIsC system / 6000,aIX 3.1,Vada-110-7171,版本6.0 IBm RIsC system / 6000 model 530 => IBm RIsC system / 6000 model 530