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Article
Stability of Hyperbolic and Nonhyperbolic Fixed Points of One-Dimensional Maps
Journal of Difference Equations and Applications
  • Fozi M Dannan
  • Saber Elaydi, Trinity University
  • Vadim Ponomarenko, Trinity University
Document Type
Post-Print
Publication Date
5-1-2003
Abstract

We present a complete theory for the stability of non-hyperbolic fixed points of one-dimensional continuous maps. As well as we give simple criteria for the global stability of general maps without using derivatives.

Document Object Identifier (DOI)
10.1080/1023619031000078315
Citation Information
Dannan, F. M., Elaydi, S. N., & Ponomarenko, V. (2003). Stability of hyperbolic and nonhyperbolic fixed points of one-dimensional maps. Journal of Difference Equations and Applications, 9, 449-457. doi: 10.1080/1023619031000078315