DocumentCode
2623786
Title
Bifurcations in nonlinear systems-computational issues
Author
Alvarado, Fernando L.
Author_Institution
Wisconsin Univ., Madison, WI, USA
fYear
1990
fDate
1-3 May 1990
Firstpage
922
Abstract
An examination is made of computational issues associated with singular Jacobian and Hopf bifurcations in large nonlinear systems. Singular Jacobian bifurcations can be computed effectively using the point of collapse method. Hopf bifurcations can be computed using a Kronecker sum to reduce the problem to the computation of a singular Jacobian. However, this is shown to be computationally intensive. An alternative method for the computation of Hopf bifurcations based on the point of collapse method together with a complex expansion of the problem is presented
Keywords
nonlinear network analysis; nonlinear systems; numerical methods; Hopf bifurcations; Jacobian bifurcations; Kronecker sum; complex expansion; computational issues; computationally intensive; nonlinear systems; point of collapse method; Bifurcation; Eigenvalues and eigenfunctions; Jacobian matrices; Nonlinear equations; Nonlinear systems; Topology;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location
New Orleans, LA
Type
conf
DOI
10.1109/ISCAS.1990.112246
Filename
112246
Link To Document