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researcher

I. Melbourne

59 papers hereh-index 426.2k citations168 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author3
  • first author17
  • middle author8
  • last author30

Across the 58 of 59 papers where every author was matched, so the position is known.

fields
  • math.DS50
  • nlin.CD4
  • math.PR3
  • nlin.PS2
same name
  • I. Melbourne — 8 papers, h 4

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity
20022023
most citedA New Test for Chaos

688 citations · 2.4k across the 52 of their papers we have counts for

collaborators
Showing 2009Show all

2 papers · 1 filter

nlin.CD2009★ 513 cited

On the Implementation of the 0-1 Test for Chaos

Georg A. Gottwald, Ian Melbourne

In this paper we address practical aspects of the implementation of the 0-1 test for chaos in deterministic systems. In addition, we present a new formulation of the test which sig…

nlin.CD2009★ 168 cited

On the Validity of the 0-1 Test for Chaos

Georg A. Gottwald, Ian Melbourne

In this paper, we present a theoretical justification of the 0-1 test for chaos. In particular, we show that with probability one, the test yields 0 for periodic and quasiperiodic…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.