Georg A. Gottwald, Ian Melbourne
Abstract
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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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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.
Key concepts: Quasiperiodic function, Mathematics, CHAOS (operating system), Chaotic, Statistical physics, Test (biology), Dynamics (music), Applied mathematics