A new test for chaos in deterministic systems

G. A. Gottwald, I. Melbourne
2004 Proceedings of the Royal Society A  
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 largest Lyapunov exponent.) Our method is a 0-1 test for chaos (the output is a 0 signifying nonchaotic or a 1 signifying chaotic) and is independent of the dimension of the dynamical system. Moreover, the underlying equations need not be known. The test works equally well for continuous and discrete time. We give examples
more » ... e. We give examples for an ordinary differential equation, a partial differential equation and for a map.
doi:10.1098/rspa.2003.1183 fatcat:lt7regxrmja7zgn6mclpvmcnrm