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INSTABILITY OF SPATIALLY QUASIPERIODIC STATES OF THE GINZBURGLANDAU EQUATION
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UNSPECIFIED. (1994) INSTABILITY OF SPATIALLY QUASIPERIODIC STATES OF THE GINZBURGLANDAU EQUATION. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 444 (1921). pp. 347362. ISSN 13645021
Full text not available from this repository.Abstract
The GinzburgLandau (GL) equation with real coefficients is a model equation appearing in superconductor physics and nearcritical hydrodynamic stability problems. The stationary GL equation has a twoparameter (I1,I2) family of spatially quasiperiodic (QP) states with frequencies (omega(1) omega(2)) and frequency map with determinant Delta(K) = partial derivative(omega(1),omega(2))/partial derivative(I1,I2) In this paper the linear stability of these QP states is studied and an expression for the stability exponent is obtained which has a novel geometric interpretation in terms of Delta(K): when Delta(K) < 0 the spatially QP state is unstable and Delta(K) > 0 is a necessary but not sufficient condition for linear stability. There is an interesting relation between Delta(K) and the KAM persistence theorem for invariant toroids.
Item Type:  Journal Article  

Subjects:  Q Science  
Journal or Publication Title:  PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES  
Publisher:  ROYAL SOC LONDON  
ISSN:  13645021  
Official Date:  8 February 1994  
Dates: 


Volume:  444  
Number:  1921  
Number of Pages:  16  
Page Range:  pp. 347362  
Publication Status:  Published  
URI:  http://wrap.warwick.ac.uk/id/eprint/20825 
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