Power law scaling of the top Lyapunov exponent of a Product of Random Matrices

1989 ◽  
Vol 54 (1-2) ◽  
pp. 531-537 ◽  
Author(s):  
K. Ravishankar
Keyword(s):  
Lyapunov Exponent ◽  
Random Matrices ◽  
Power Law ◽  
Product Of Random Matrices

Lyapunov indices of a product of random matrices

1989 ◽  
Vol 44 (5) ◽  
pp. 11-71 ◽  
Author(s):  
I Ya Gol'dsheid ◽  
G A Margulis
Keyword(s):  
Random Matrices ◽  
Product Of Random Matrices

CHARACTERIZATION OF CHAOTICITY IN THE TRANSIENT CURRENT THROUGH PMMA THIN FILMS

Fractals ◽  
2006 ◽  
Vol 14 (02) ◽  
pp. 125-131 ◽  
Author(s):  
A. HACINLIYAN ◽  
Y. SKARLATOS ◽  
H. A. YILDIRIM ◽  
G. SAHIN
Keyword(s):  
Thin Films ◽  
Time Series ◽  
Lyapunov Exponent ◽  
Power Law ◽  
Chaotic Behavior ◽  
Transient Current ◽  
Positive Lyapunov Exponent ◽  
Aluminum Films ◽  
Thin Aluminum

Chaotic behavior in the transient current through thin Aluminum-PMMA-Aluminum films has been analyzed for times ranging up to 30,000s, in the temperature range 293–363K for applied voltages in the range 10–80V. Time series analysis reveals a positive Lyapunov exponent consistently and reproducibly throughout this range. Power law relaxation as reflected by the autocorrelation function and the positive Lyapunov exponent show parallel behaviors as a function of applied electric field.

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