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The Falkner–Skan Equation II: Dynamics and the Bifurcations of P- and Q-Orbits
- Source :
-
Journal of Differential Equations . 2002, Vol. 183 Issue 1, p1. 55p. - Publication Year :
- 2002
-
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 Equations119, 336–394) that at positive integer values of the parameter λ 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 λ→∞, and by considering topological invariants and orderings on certain manifolds we obtain unusually detailed information about the sequences of bifurcations which can occur. [Copyright &y& Elsevier]
- Subjects :
- *DIFFERENTIAL equations
*COMPACTIFICATION (Mathematics)
*BIFURCATION theory
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 183
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 8508460
- Full Text :
- https://doi.org/10.1006/jdeq.2001.4100