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Chaos, Observability and Symplectic ...

Rey, Daniel.

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Chaos, Observability and Symplectic Structure in Optimal Estimation.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Chaos, Observability and Symplectic Structure in Optimal Estimation./
作者:	Rey, Daniel.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
面頁冊數:	185 p.
附註:	Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
Contained By:	Dissertation Abstracts International79-01B(E).
標題:	Biophysics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10281245
ISBN:	9780355313659

Chaos, Observability and Symplectic Structure in Optimal Estimation.
Rey, Daniel.

Chaos, Observability and Symplectic Structure in Optimal Estimation. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 185 p.

Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.

Thesis (Ph.D.)--University of California, San Diego, 2017.

Observation, estimation and prediction are universal challenges that become especially difficult when the system under consideration is dynamical and chaotic. Chaos injects dynamical noise into the estimation process that must be suppressed to satisfy the necessary conditions for success: namely, synchronization of the estimate and the observed data. The ability to control the growth of errors is constrained by the spatiotemporal resolution of the observations, and often exhibits critical thresholds below which the probability of success becomes effectively zero. This thesis examines the connections between these limits and basic issues of complexity, conditioning, and instability in the observation and forecast models. The results suggest several new ideas to improve the collaborative design of combined observation, analysis, and forecast systems. Among these, the most notable is perhaps the fundamental role that symplectic structure plays in the remarkable observational efficiency of Kalman-based estimation methods.

ISBN: 9780355313659Subjects--Topical Terms:

518360
Biophysics.

Chaos, Observability and Symplectic Structure in Optimal Estimation.
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