| Contents |
| Prediction and analysis of complex dynamics requires a suitable representation of the underlying dynamical structure in terms of a mathematical model (ODEs, PDEs, ...) and methods for estimating relevant model parameters and the current state of the system. Whether this task can be solved depends on the observability of the required quantities given the available (time series) data and the efficacy of the
estimation algorithm chosen. We shall present methods based on delay embedding to address the observability problem and algorithms for parameter and state estimation employing nonlinear optimization and synchronization. |
|