UNSPECIFIED. (2002) The Falkner-Skan equation II: Dynamics and the bifurcations of P- and Q-orbits. JOURNAL OF DIFFERENTIAL EQUATIONS, 183 (1). pp. 1-55. ISSN 0022-0396

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Abstract

The Falkner-Skan equation is a reversible three-dimensional system of ordinary differential equations with two distinguished straight-line trajectories which form a heteroclinic loop between fixed points at infinity. We showed in the previous paper (1995, J Differential Equations 119, 336-394) that at positive integer values of the parameter 2 there are bifurcations creating large sets of periodic and other interesting trajectories. Here we show that all but two of these trajectories are destroyed in another sequence of bifurcations as lambda --> infinity, and by considering topological invariants and orderings on certain manifolds we obtain unusually detailed information about the sequences of bifurcations which can occur. (C) 2002 Elsevier Science (USA).

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	JOURNAL OF DIFFERENTIAL EQUATIONS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN:	0022-0396
Official Date:	20 July 2002
Volume:	183
Number:	1
Number of Pages:	55
Page Range:	pp. 1-55
Identification Number:	10.1006/jdeq.2001.4100
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/10678

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