Titlebook: Nonlinear Dynamics and Statistics; Alistair I. Mees Book 2001 Springer Science+Business Media New York 2001 Monte Carlo method.Time series

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The Identification and Estimation of Nonlinear Stochastic Systemshis into account, and indeed modeling often becomes easier rather than harder when this is done. We describe the methods used, based on recursive fixed-interval smoothing, and present applications to some realistic problems.

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Challenges in Modeling Nonlinear Systems: A Worked Exampleledge of the physics or biology of the system. Analytic models attempt to incorporate knowledge from the observations and their analysis into sets of differential equations or maps embodying the properties of the measured processes..In this chapter we focus on the analysis of membrane voltage data f

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Disentangling Uncertainty and Error: On the Predictability of Nonlinear Systems For real physical systems no perfect model exists; the limitations of near-perfect models are considered, as is the relevance of the recurrence time of the system in terms of the likely duration of observations. It is argued that in the absence of a perfect model, a perfect ensemble does not exist

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tion that is an excellent description of real-world phenomena. Real systems are connected to the rest of the world; they are noisy, non­ stationary, and have high-dimensional dynamics; even when the dynamics contains lower-dimensional attractors there is almost never a coordinate system available in which the978-1-4612-6648-8978-1-4612-0177-9

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visual approach and agentle introduction with the .Short Course. .A detailed exposition of multiline math formulas with a .Visual Guide. .A unified approach to TeX, LaTeX, and the AMS enhancements. .A quick introduction to creating presentations with formulas. .A detailed approach to creating illus

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math formulas with a .Visual Guide. .A unified approach to TeX, LaTeX, and the AMS enhancements. .A quick introduction to creating presentations with formulas. .A detailed approach to creating illus978-3-031-55280-9978-3-031-55281-6