Chaotic complex dynamics and Newton's method

Harold E. Benzinger, Scott A. Burns, Julian I. Palmore

Research output: Contribution to journalArticlepeer-review

Abstract

We consider one-parameter families of Julia sets arising from Newton's method in the complex domain. We show the existence of bifurcation points where zeros coalesce or change from attractors to repellors, and points where chaotic behavior occurs.

Original languageEnglish (US)
Pages (from-to)441-446
Number of pages6
JournalPhysics Letters A
Volume119
Issue number9
DOIs
StatePublished - Jan 19 1987

ASJC Scopus subject areas

  • General Physics and Astronomy

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