Stability analysis of dynamical systems via R-functions

2009 ◽  
Author(s):  
A. Balestrino ◽  
A. Caiti ◽  
E. Crisostomi ◽  
S. Grammatico
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems ◽  
R Functions

scholarly journals Stability analysis of flame fronts: Dynamical systems approach in the complex plane

1999 ◽  
Vol 59 (3) ◽  
pp. 2587-2593 ◽  
Author(s):  
Oleg Kupervasser ◽  
Zeev Olami ◽  
Itamar Procaccia
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems ◽  
Complex Plane ◽  
Systems Approach

Stability analysis of discontinuous dynamical systems determined by semigroups

2005 ◽  
Vol 50 (9) ◽  
pp. 1277-1290 ◽  
Author(s):  
A.N. Michel ◽  
Ye Sun ◽  
A.P. Molchanov
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems

A Wavelet Based Procedure to Study Vibrations and Stability

1999 ◽  
Author(s):  
S. Pernot ◽  
C. H. Lamarque
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems ◽  
Nonlinear Systems ◽  
Periodic Solutions ◽  
Time Varying ◽  
Differential Systems ◽  
Varying Coefficients ◽  
Linear Differential Systems ◽  
Time Varying Coefficients ◽  
Linear Differential

Abstract A Wavelet-Galerkin procedure is introduced in order to obtain periodic solutions of multidegrees-of-freedom dynamical systems with periodic time-varying coefficients. The procedure is then used to study the vibrations of parametrically excited mechanical systems. As problems of stability analysis of nonlinear systems are often reduced after linearization to problems involving linear differential systems with time-varying coefficients, we demonstrate the method provides efficient practical computations of Floquet exponents and consequently allows to give estimators for stability/instability levels. A few academic examples illustrate the relevance of the method.

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