Shilnikov's saddle-node bifurcation
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Author
Contributions
- Sparrow, Colin. - Contributor
- Hewlett-Packard Laboratories. - Contributor
Publication
1996 - Hewlett Packard, Bristol [England, England
Language
English
Word Count
2,500 words, Guess
Page Count
10 pages
Identifiers
- OCLC Control Number45803138
- Open LibraryOL17613340M
Description
Abstract: "In 1969 Shilnikov described a bifurcation for families of ordinary differential equations involving n [> or =] 2 trajectories bi-asymptotic to a non-hyperbolic stationary point. At nearby parameter values the system has trajectories in correspondence with the full shift on n symbols. We investigate a simple (piecewise smooth) example with an infinite number of homoclinic loops. We also present a smooth example which shows how Shilnikov's mechanism is related to the Lorenz bifurcation by considering the unfolding of a previously unstudied codimension two bifurcation point."
Subjects
Series Statement
- [Technical report] / HP Laboratories Bristol. Basic Research Institute in the Mathematical Sciences -- HPL-BRIMS-96-07.
- BRIMS technical report -- HPL-BRIMS-96-07.
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