Structure and properties of the attractor of a marine dynamical system

Authors:
G. N. Triantafyllou;J. B. Elsner;A. Lascaratos;C. Koutitas;A. A. Tsonis
Affiliations:
Department of Geosciences, University of Wisconsin-Milwaukee P.O. Box 413, Milwaukee, WI 53201, U.S.A.;Department of Meteorology, Florida State University Tallahassee, FL 32306, U.S.A.;Department of Applied Physics, University of Athens 33 Ippocratous St., Athens 106.80, Greece;Department of Civil Engineering, Aristotle University of Thessaloniki Thessaloniki 540.06, Greece;Department of Geosciences, University of Wisconsin-Milwaukee Milwaukee, WI 53201, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1995

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Abstract

We investigate the properties of a marine dynamical system by means of time series of the sea-level height at four locations in the Saronicos Gulf in the Aegean Sea, Greece. In order to characterize the dynamics, we estimate the dimension of the underlying system attractor, and we compute its Lyapunov exponents. Dimension estimates indicate that the dynamics can be explained by a low-dimensional deterministic dynamical system. Lyapunov exponent estimates further substantiate the above conclusion, while at the same time, indicate that the dynamical system is a rather nonuniform chaotic one.