May 12,2018 Scientific research & Postgraduate Studies

Stability of Hyperbolic and Non Hyperbolic Fixed Points of One-Dimensional Maps

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.

Keywords: Fixed pointGlobal stabilityAsymptotic stabilityNon-hyperbolicSchwarzian.

Link to read full paper

https://doi.org/10.1080/1023619031000078315