Two-step control of wall mode and the monodromy matrix
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Tasso, H.
Throumoulopoulos, G. N.
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peer reviewed
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Physics Letters A
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The Floquet stability of systems of differential equations with piecewise constant periodic coefficients is considered. In the "two-step" case the monodromy matrix is the product of two matrix exponentials. It can be evaluated either by reducing the matrix exponentials to polynomials on the eigenvalues of the corresponding matrices or, without knowledge of the eigenvalues, by using the Baker-Campbell-Hausdorff formula. The two methods are discussed and applied to several examples including the "two-step" dissipative Hill's equation introduced recently H. Tasso, G.N. Throumoulopoulos [Phys. Plasmas 9 (2002) 2662] to stabilize the "resistive wall mode" in magnetically confined plasmas. Application to large systems and matrices is not only possible but needed for the full understanding of the dynamic stabilization of the resistive wall mode. Its practical implementation is discussed. (C) 2002 Elsevier Science B.V. All rights reserved.
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<Go to ISI>://000180881700010
http://ac.els-cdn.com/S0375960102017693/1-s2.0-S0375960102017693-main.pdf?_tid=1bbe5a970d159cee264bf4479bd2d1ee&acdnat=1334232448_76125bd1b70f67b16b1291ea36f2d80c
http://ac.els-cdn.com/S0375960102017693/1-s2.0-S0375960102017693-main.pdf?_tid=1bbe5a970d159cee264bf4479bd2d1ee&acdnat=1334232448_76125bd1b70f67b16b1291ea36f2d80c
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Επιστημών και Τεχνολογιών. Τμήμα Βιολογικών Εφαρμογών και Τεχνολογιών