Testing for Chaos in Deterministic Systems
In collaboration with Gottwald, Sydney, we have devised a simple binary (0-1) test for distinguishing regular from chaotic dynamics. The test is applied directly to the time-series data, hence avoiding phase space reconstruction, and is equally applicable to maps, ODEs, PDEs and experimental data. The test is resistant to moderate amounts of noise and compares favourably with the standard technique of computing the maximal Lyapunov exponent.


