Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1191.37046
Liu, Zonghua
Chaotic time series analysis. (English)
[J] Math. Probl. Eng. 2010, Article ID 720190, 31 p. (2010). ISSN 1024-123X; ISSN 1563-5147/e

Summary: Chaotic dynamical systems are ubiquitous in nature and most of them does not have an explicit dynamical equation and can be only understood through the available time series. We here briefly review the basic concepts of time series and its analytic tools, such as dimension, Lyapunov exponent, Hilbert transform, and attractor reconstruction. Then we discuss its applications in a few fields such as the construction of differential equations, identification of synchronization and coupling direction, coherence resonance, and traffic data analysis in Internet.

MSC 2000:: *37M10 Time series analysis
37D45 Strange attractors, chaotic dynamics
37N99 Applications of dynamical systems
68M11

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]