On the Validity of the 0-1 Test for Chaos
classification
🌊 nlin.CD
math.DS
keywords
testchaosdynamicschaoticjustificationparticularperiodicprobability
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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 dynamics, and 1 for sufficiently chaotic dynamics.
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