Nonlinear Dynamics and Statistics

ISBN 10: 0817641637 / ISBN 13: 9780817641634

Editore: Birkhäuser, 2001

This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Codice articolo ABNR-89134

Riassunto:

Specifically, it is about trying to "understand" (that is, tell useful lies about) dynamical systems directly from observa­ tions, either because they are too complex to model in the conventional way or because they are simply ill-understood.

Contenuti: Section I: Issues in Reconstructing Dynamics; Challenges in Modeling Nonlinear Systems: A Worked Example; Disentangling Uncertainty and Error: On the Predictability of Nonlinear Systems; Achieving Good Nonlinear Models: Keep it Simple, Vary the Embedding, and Get the Dynamics Right; Delay Reconstruction: Dynamics vs. Statistics; Some Remarks on the Statistical Modelling of Chaotic Systems; The Identification and Estimation of Nonlinear Stochastic Systems; Section II: Fundamentals; An Introduction to Monte Carlo Methods for Bayesian Data Analysis; Contrained Randomization of Time Series For Nonlinearity Tests; Removing the Noise from Chaos Plus Noise; Embedding Theorems, Scaling Structures, and Determinism in Time Series; Consistent Estimation of a Dynamical Map; Extracting Dynamical Behaviour via Markov Models; Formulas for the Eckmann-Ruelle Matrix; Section III: Methods and Applications; Noise and Nonlinearity in an Ecological System; Cluster-Weighted Modeling: Probabilistic Time Series Prediction, Characterization and Synthesis; Data Compression, Dynamics and Stationarity; Analyzing Nonlinear Dynamical Systems with Nonparametric Regression; Optimization of Embedding Parameters for Prediction of Seizure Onset with Mutual Information; Detection of a Nonlinear Oscillator Underlying Experimental Time Series: The Sunspot Cycle

Dati bibliografici

Titolo: Nonlinear Dynamics and Statistics
Casa editrice: Birkhäuser
Data di pubblicazione: 2001
Legatura: Rilegato
Condizione: New