NORMAL FORM APPROACH TO SOME CHAOTIC SPROTT SYSTEMS - Ildes, Medine;Hacinliyan, Avadis S.
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In this study, the normal form method which had been previously applied to three of the Sprott systems is applied to three other Sprott systems with a different eigenvalue structure of their linearized parts. It is seen that the normal form expansion can also represent these systems successfully for a longer time than expected from a perturbative method. Altough the normal form expansion is a local method it gives information about nonlocal characteristics such as possible zero Liapunov exponents of the system via approximately conserved quantities.

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Produktbeschreibung
In this study, the normal form method which had been previously applied to three of the Sprott systems is applied to three other Sprott systems with a different eigenvalue structure of their linearized parts. It is seen that the normal form expansion can also represent these systems successfully for a longer time than expected from a perturbative method. Altough the normal form expansion is a local method it gives information about nonlocal characteristics such as possible zero Liapunov exponents of the system via approximately conserved quantities.
Autorenporträt
Medine ¿LDES obtained her M.S. degree in physics from Bogazici University in 2006. She is currently a Ph.D. student at the same institude. Avadis Simon HACINLIYAN obtained his Ph.D. degree in physics from University of Chicago in 1971. He is currently a professor of physics at Bogazici University (part-time) and at Yeditepe University in Turkey.