Title | Nonlinear Dynamics and Statistics [electronic resource] / edited by Alistair I. Mees |
---|---|
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0177-9 |
Descript | XXII, 473 p. online resource |
I Issues in Reconstructing Dynamics -- 1 Challenges in Modeling Nonlinear Systems: A Worked Example -- 2 Disentangling Uncertainty and Error: On the Predictability of Nonlinear Systems -- 3 Achieving Good Nonlinear Models: Keep It Simple, Vary the Embedding, and Get the Dynamics Right -- 4 Delay Reconstruction: Dynamics versus Statistics -- 5 Some Remarks on the Statistical Modeling of Chaotic Systems -- 6 The Identification and Estimation of Nonlinear Stochastic Systems -- II Fundamentals -- 7 An Introduction to Monte Carlo Methods for Bayesian Data Analysis -- 8 Constrained Randomization of Time Series for Nonlinearity Tests -- 9 Removing the Noise from Chaos Plus Noise -- 10 Embedding Theorems, Scaling Structures, and Determinism in Time Series -- 11 Consistent Estimation of a Dynamical Map -- 12 Extracting Dynamical Behavior via Markov Models -- 13 Formulas for the Eckmann-Ruelle Matrix -- III Methods and Applications -- 14 Noise and Nonlinearity in an Ecological System -- 15 Cluster-Weighted Modeling: Probabilistic Time Series Prediction, Characterization, and Synthesis -- 16 Data Compression, Dynamics, and Stationarity -- 17 Analyzing Nonlinear Dynamical Systems with Nonparametric Regression -- 18 Optimization of Embedding Parameters for Prediction of Seizure Onset with Mutual Information -- 19 Detection of a Nonlinear Oscillator Underlying Experimental Time Series: The Sunspot Cycle