On Using Curvature to Demonstrate Stability
Author
Source
International Journal of Differential Equations
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-04-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A new approach for demonstrating the global stability of ordinary differential equations is given.
It is shown that if the curvature of solutions is bounded on some set, then any nonconstant orbits that remain in the set, must contain points that lie some minimum distance apart from each other.
This is used to establish a negative-criterion for periodic orbits.
This is extended to give a method of proving an equilibrium to be globally stable.
The approach can also be used to rule out the sudden appearance of large-amplitude periodic orbits.
American Psychological Association (APA)
McCluskey, C. Connell. 2008. On Using Curvature to Demonstrate Stability. International Journal of Differential Equations،Vol. 2008, no. 2008, pp.1-7.
https://search.emarefa.net/detail/BIM-987853
Modern Language Association (MLA)
McCluskey, C. Connell. On Using Curvature to Demonstrate Stability. International Journal of Differential Equations No. 2008 (2008), pp.1-7.
https://search.emarefa.net/detail/BIM-987853
American Medical Association (AMA)
McCluskey, C. Connell. On Using Curvature to Demonstrate Stability. International Journal of Differential Equations. 2008. Vol. 2008, no. 2008, pp.1-7.
https://search.emarefa.net/detail/BIM-987853
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987853