Regime prediction and predictability in nonlinear dynamical systems
School of Engineering, Computing and Mathematics, University of Exeter, North Park Road, Exeter, EX4 4QF, UK
Corresponding author: F.Kwasniok@exeter.ac.uk
Prediction and predictability properties of nonlinear dynamical systems are diagnosed and analysed empirically using nonlinear time series analysis techniques. The notion of predictability is relaxed from accurate prediction of individual trajectories to a coarse-grained view in which only probabilities of visiting certain regions of state space or regimes are forecast. The regimes and the transition probabilities between them are determined simultaneously by fitting a hidden Markov model to a time series of the system. Predictive information is then refined by building a nearest-neighbour model of the regime posterior distribution. The ideas are exemplified on the stochastically forced Lorenz system.
© EDP Sciences, Springer-Verlag, 2008