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Article
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SIAM Journal on Applied Mathematics
Article . 1985 . Peer-reviewed
Data sources: Crossref
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Bifurcation Analysis of Nonlinear Turning Point Problems

Bifurcation analysis of nonlinear turning point problems
Authors: Lange, Charles G.; Kriegsmann, Gregory A.;

Bifurcation Analysis of Nonlinear Turning Point Problems

Abstract

A bifurcation analysis is carried out on a class of nonlinear two-point boundary value problems for which the associated linearized equations have turning point structure. A perturbation method is used to study the behavior of solutions branching from large eigenvalues. The results are compared with those previously obtained for problems without turning points.

Keywords

turning points, bifurcation analysis, Singular perturbations, turning point theory, WKB methods for ordinary differential equations, Nonlinear ordinary differential equations and systems, nonlinear two-point boundary value problems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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