Chen, Boshan; Liao, Xiaoxin; Liu, Yongqing Normal forms and bifurcations for the differential-algebraic systems. (Chinese. English summary) Zbl 0960.34004 Acta Math. Appl. Sin. 23, No. 3, 429-443 (2000). Summary: First, the differential-algebraic systems are imputed to constrained differential systems, and then the constrained differential systems are reduced to the state space form. Making use of the form, results on linearization and Hopf bifurcations for the constrained differential systems are obtained. Cited in 23 Documents MSC: 34A09 Implicit ordinary differential equations, differential-algebraic equations 34C23 Bifurcation theory for ordinary differential equations 34C20 Transformation and reduction of ordinary differential equations and systems, normal forms Keywords:differential-algebraic systems; linearization; Hopf bifurcations; constrained differential systems PDF BibTeX XML Cite \textit{B. Chen} et al., Acta Math. Appl. Sin. 23, No. 3, 429--443 (2000; Zbl 0960.34004)