Recent Advances in Liapunov Stability Theory

SIAM Review ◽  
1964 ◽  
Vol 6 (1) ◽  
pp. 1-11 ◽  
Author(s):  
J. P. LaSalle

Author(s):  
E. A. Galperin ◽  
J. M. Skowronski


2010 ◽  
Vol 51 (3) ◽  
pp. 350-368 ◽  
Author(s):  
LIE-HUI ZHANG ◽  
YONG WANG

AbstractCriteria for guaranteeing the existence, uniqueness and asymptotic stability (in the sense of Liapunov) of periodic solutions of a forced Liénard-type equation under certain assumptions are presented. These criteria are obtained by application of the Manásevich–Mawhin continuation theorem, Floquet theory, Liapunov stability theory and some analysis techniques. An example is provided to demonstrate the applicability of our results.



1979 ◽  
Vol 35 (12) ◽  
pp. 611-616 ◽  
Author(s):  
J. B. Taylor


2002 ◽  
Vol 12 (04) ◽  
pp. 815-818 ◽  
Author(s):  
YONGAI ZHENG ◽  
ZENGRONG LIU ◽  
JIN ZHOU

In the paper we propose a new synchronization principle. To guarantee synchronization between coupled chaotic oscillators, proper coupling constants are selected by the Liapunov stability theory and Hurwitz Theorem. As an example and application, we prove the conjecture [Wu & Chua, 1994] that synchronization between two chaotic Chua's circuits can be achieved by using the second state as feedback variable for sufficiently large coupling constant.



1987 ◽  
Vol 11 (2) ◽  
pp. 183-197 ◽  
Author(s):  
E.A. Galperin ◽  
J.M. Skowronski


1988 ◽  
Vol 132 ◽  
pp. 525-530
Author(s):  
Raffaele G. Gratton

The use CCD detectors has allowed a major progress in abundance derivations for globular cluster stars in the last years. Abundances deduced from high dispersion spectra now correlates well with other abundance indicators. I discuss some problems concerning the derivation of accurate metal abundances for globular clusters using high dispersion spectra from both the old photographic and the most recent CCD data. The discrepant low abundances found by Cohen (1980), from photographic material for M71 giants, are found to be due to the use of too high microturbulences.



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