Abstract
The diagrams in Chapter 2 are idealizations of the results one gets in practice. Numerical reality does not look quite as good as these diagrams. The smooth curves of the bifurcation diagrams are drawn from a skeleton of computed points. It requires—in addition to reliable computational methods— imagination and condence to draw a good diagram from the relatively few points the computer gives us. How to select and construct the points is one concern, and the other is the correct interpretation, which may be summarized by drawing a smooth branch.
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
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Seydel, R. (2010). Principles of Continuation. In: Practical Bifurcation and Stability Analysis. Interdisciplinary Applied Mathematics, vol 5. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1740-9_4
Download citation
DOI: https://doi.org/10.1007/978-1-4419-1740-9_4
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1739-3
Online ISBN: 978-1-4419-1740-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)