Bifurcations in the Falkner-Skan equation
By: Colin Sparrow.
Contributors: Hewlett-Packard Laboratories.
Series: [Technical report] / HP Laboratories Bristol. Basic Research Institute in the Mathematical Sciences -- HPL-BRIMS-96-09.; BRIMS technical report -- HPL-BRIMS-96-09.
Publisher: Hewlett Packard
Published: 1996
Place of publication: Bristol [England]
Language: eng
Number of pages: 16
Subjects: Bifurcation theory; Chaotic behavior in systems
Description: Abstract: "The Falkner-Skan equation is a reversible three dimensional system of ODEs without fixed points. A novel sequence of bifurcations, each of which creates a large set of periodic and other interesting orbits 'from infinity', occurs for each positive integer value of a parameter. Another sequence of bifurcations destroys these orbits as the parameter increases; topological constraints allow us to understand this sequence of bifurcations in considerable detail. While outlining these results, we can also make a number of possibly illuminating remarks connecting parts of the proof, well-known numerical techniques for locating and continuing perodic orbits, and recent ideas in the control of chaos."
Notes: Cover title.

"To appear in the Proceedings of the Control & Chaos Workshop: Hawaii, June 1995 (Birkhauser)."--P. 1.

"February, 1996."

Includes bibliographical references.

Supported in part by BRIMS (Hewlett-Packard Basic Research Institute in Mathematical Sciences, Bristol, UK) and the INI (Isaac Newton Institute in Cambridge, UK)