Nonlinear Dynamics and Statistics

Edited by Alistair I. Mees

in Springer Books from Springer

Date: 2001
ISBN: 978-1-4612-0177-9
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Chapters in this book:

Ch Chapter 1 Challenges in Modeling Nonlinear Systems: A Worked Example

Henry D. I. Abarbanel

Ch Chapter 10 Embedding Theorems, Scaling Structures, and Determinism in Time Series

Colleen D. Cutler

Ch Chapter 11 Consistent Estimation of a Dynamical Map

Andrew Nobel

Ch Chapter 12 Extracting Dynamical Behavior via Markov Models

Gary Froyland

Ch Chapter 13 Formulas for the Eckmann-Ruelle Matrix

Timothy D. Sauer

Ch Chapter 14 Noise and Nonlinearity in an Ecological System

Paul A. Dixon, Maria J. Milicich and George Sugihara

Ch Chapter 15 Cluster-Weighted Modeling: Probabilistic Time Series Prediction, Characterization, and Synthesis

Bernd Schoner and Neil Gershenfeld

Ch Chapter 16 Data Compression, Dynamics, and Stationarity

Matthew B. Kennel and Alistair I. Mees

Ch Chapter 17 Analyzing Nonlinear Dynamical Systems with Nonparametric Regression

Henning U. Voss

Ch Chapter 18 Optimization of Embedding Parameters for Prediction of Seizure Onset with Mutual Information

Alfonso M. Albano, Christopher J. Cellucci, Richard N. Harner and Paul E. Rapp

Ch Chapter 19 Detection of a Nonlinear Oscillator Underlying Experimental Time Series: The Sunspot Cycle

Milan Paluš

Ch Chapter 2 Disentangling Uncertainty and Error: On the Predictability of Nonlinear Systems

Leonard A. Smith

Ch Chapter 3 Achieving Good Nonlinear Models: Keep It Simple, Vary the Embedding, and Get the Dynamics Right

Kevin Judd, Michael Small and Alistair I. Mees

Ch Chapter 4 Delay Reconstruction: Dynamics versus Statistics

Jaroslav Stark

Ch Chapter 5 Some Remarks on the Statistical Modeling of Chaotic Systems

Dominique Guegan

Ch Chapter 6 The Identification and Estimation of Nonlinear Stochastic Systems

Peter Young

Ch Chapter 7 An Introduction to Monte Carlo Methods for Bayesian Data Analysis

Christophe Andrieu, Arnaud Doucet and William J. Fitzgerald

Ch Chapter 8 Constrained Randomization of Time Series for Nonlinearity Tests

Thomas Schreiber and Andreas Schmitz

Ch Chapter 9 Removing the Noise from Chaos Plus Noise

Steven P. Lalley

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DOI: 10.1007/978-1-4612-0177-9

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