688 citations · 2.4k across the 52 of their papers we have counts for
4 papers · 1 filter
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…
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…
Testing for Chaos in Deterministic Systems with Noise
Georg A. Gottwald, Ian Melbourne
Recently, we introduced a new test for distinguishing regular from chaotic dynamics in deterministic dynamical systems and argued that the test had certain advantages over the trad…
A New Test for Chaos
Georg A. Gottwald, Ian Melbourne
We describe a new test for determining whether a given deterministic dynamical system is chaotic or nonchaotic. (This is an alternative to the usual approach of computing the large…