Stability analysis of discrete ecological dynamical systems with composite stochastic parameters

2020 ◽  
Author(s):  
Xuefen Li ◽  
Fangfang Shen
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems ◽  
Stochastic Parameters

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

On the Almost Sure Stability of Linear Stochastic Distributed-Parameter Dynamical Systems

1966 ◽  
Vol 33 (1) ◽  
pp. 182-186 ◽  
Author(s):  
P. K. C. Wang
Keyword(s):  
Dynamical Systems ◽  
Asymptotic Stability ◽  
Integral Equations ◽  
Sufficient Conditions ◽  
Distributed Parameter ◽  
Almost Sure Stability ◽  
Partial Differential ◽  
Stochastic Parameters

In this paper, sufficient conditions for almost sure stability and asymptotic stability of certain classes of linear stochastic distributed-parameter dynamical systems are derived. These systems are described by a set of linear partial differential or differential-integral equations with stochastic parameters. Various examples are given to illustrate the application of the main results.

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

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

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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