Abstract
In the paper a new numerical method for the analysis of both static and Hopf bifurcation is presented. The study of the problem of solution bifurcation is reduced to the study of the local behavior near the singular points of the vector field. In the case of the Hopf bifurcation, the problem is reduced to searching for a pair of complex conjugate eigenvalues with maximum norm of a matrix. Two examples support the introduced theory.
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© 1995 Springer-Verlag Berlin Heidelberg
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Wu, J., Zhou, K. (1995). New Numerical Methods for High Dimensional Hopf Bifurcation Problems. In: Awrejcewicz, J. (eds) Bifurcation and Chaos. Springer Series in Nonlinear Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79329-5_4
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DOI: https://doi.org/10.1007/978-3-642-79329-5_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79331-8
Online ISBN: 978-3-642-79329-5
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