Title :
Equation of motion from a geophysical data series
Author :
Kiselev, Boris V. ; Volobuev, Dmitrii M.
Author_Institution :
Inst. of Phys., St. Petersburg State Univ., Russia
Abstract :
The method of global vector field reconstruction described by Gouesbet and Letellier (1994) is used for reconstruction of system of nonlinear differential equations in three dimensional space from one observable series. The scheme has been tested for Rossler equations, the possibility of noise has been taken into account, and then results obtained were applied for investigations of geomagnetic pulsations and sunspot numbers. Some curious results can be explained by analysis of self-intersections in space being reconstructed
Keywords :
data analysis; geophysical signal processing; magnetosphere; micropulsations; nonlinear differential equations; solar activity; sunspots; time series; Rossler equations; Sun; astronomy; dimensional space; equation of motion; geomagnetic pulsation; geomagnetic pulsations; geophysical data analysis; geophysical data series; global vector field reconstruction; ionosphere; magnetic activity; magnetic pulsation; magnetosphere; micropulsation; noise; nonlinear differential equations; one observable series; self-intersections; solar activity; sunspot numbers; time series analysis; Chaos; Differential equations; Fractals; Geomagnetism; Inverse problems; Nonlinear equations; Partial differential equations; Physics; Testing;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.631336
