• Corpus ID: 16168902

RELAXED NEWTON ' S METHOD : AN ELEMENTARY EXAMPLEWITH COMPLICATED DYNAMICS

@inproceedings{BILLINGSyRELAXEDN,
  title={RELAXED NEWTON ' S METHOD : AN ELEMENTARY EXAMPLEWITH COMPLICATED DYNAMICS},
  author={L. BILLINGSy and J. H. CURRYyz and V. ROBINSyAbstract}
}
This note provides an accessible family of examples, based on Newton's method that exhibit chaotic dynamics. We show this by establishing that the dynamics is transitive and by nding an exact formula for Lyapunov exponents. A somewhat unexpected consequence of this study is that periodic orbits seems to lose their instability in a singular way. 

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