Outline of the liapunov stability theory in general

2005 ◽  
pp. 1-72
Keyword(s):  
Stability Theory ◽  
Liapunov Stability

Geometry of V-functions and the Liapunov stability theory

1985 ◽  
Author(s):  
E. A. Galperin ◽  
J. M. Skowronski
Keyword(s):  
Stability Theory ◽  
Liapunov Stability

A NOTE ON PERIODIC SOLUTIONS OF A FORCED LIÉNARD-TYPE EQUATION

2010 ◽  
Vol 51 (3) ◽  
pp. 350-368 ◽  
Author(s):  
LIE-HUI ZHANG ◽  
YONG WANG
Keyword(s):  
Asymptotic Stability ◽  
Periodic Solutions ◽  
Stability Theory ◽  
Floquet Theory ◽  
Type Equation ◽  
Continuation Theorem ◽  
Liapunov Stability ◽  
Analysis Techniques ◽  
Liénard Type Equation ◽  
Mawhin Continuation Theorem

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.

Recent Advances in Liapunov Stability Theory

SIAM Review ◽  
1964 ◽  
Vol 6 (1) ◽  
pp. 1-11 ◽  
Author(s):  
J. P. LaSalle
Keyword(s):  
Stability Theory ◽  
Liapunov Stability ◽  
Recent Advances

scholarly journals A NEW SYNCHRONIZATION PRINCIPLE AND APPLICATION TO CHUA'S CIRCUITS

2002 ◽  
Vol 12 (04) ◽  
pp. 815-818 ◽  
Author(s):  
YONGAI ZHENG ◽  
ZENGRONG LIU ◽  
JIN ZHOU
Keyword(s):  
Stability Theory ◽  
Coupling Constants ◽  
Coupling Constant ◽  
Chaotic Oscillators ◽  
Large Coupling ◽  
Liapunov Stability ◽  
Large Coupling Constant ◽  
Hurwitz Theorem

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.

Geometry of V-functions and the Liapunov stability theory

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

Essential Stability Theory

2016 ◽  
Author(s):  
Steven Buechler
Keyword(s):  
Stability Theory ◽  
Essential Stability

Stability Theory of Swing Equations

2020 ◽  
Author(s):  
Andy Sun
Keyword(s):  
Stability Theory

Essential Stability Theory

1996 ◽  
Author(s):  
Steven Buechler
Keyword(s):  
Stability Theory ◽  
Essential Stability
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