Abstract
In this chapter the first, basic step in the treatment of nonlinear stability problems is presented, namely, the reduction of the given n- or infinite-dimensional system to a generally low-dimensional bifurcation system. In the neighborhood of the bifurcation point this bifurcation system has the same qualitative behavior as the original system, and therefore, completely describes the local stability problem.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag/Wien
About this chapter
Cite this chapter
Troger, H., Steindl, A. (1991). Reduction process, bifurcation equations. In: Nonlinear Stability and Bifurcation Theory. Springer, Vienna. https://doi.org/10.1007/978-3-7091-9168-2_3
Download citation
DOI: https://doi.org/10.1007/978-3-7091-9168-2_3
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82292-0
Online ISBN: 978-3-7091-9168-2
eBook Packages: Springer Book Archive