Add to ORKGsummary:Dynamical systems with several equilibria occur in various fields of science and engineering: electrical machines, chemical reactions, economics, biology, neural networks. As pointed out by many researchers, good results on qualitative behaviour of such systems may be obtained if a Liapunov function is available. Fortunately for almost all systems cited above the Liapunov function is associated in a natural way as an energy of a certain kind and it is at least nonincreasing along systems solutions
We wish to construct a realization theory of stable neural networks and use this theory to model the...
The Lyapunov function method is used in proving stability, asymptotic or globally asymptotic stabili...
The objective of the theory of stability of motion is to establish signs that make it possible to ju...
summary:Dynamical systems with several equilibria occur in various fields of science and engineering...
The dynamical behaviour of continuous time recurrent neural network models is studied with emphasis ...
Theorems and definitions for generation of Liapunov functions for analysis of linear and nonlinear d...
In the thesis we analyse qualitative properties of dynamical systems near equilibria. We mainly deal...
Liapunov functions are constructed for nonlinear systems of ordinary differential equations whose li...
The second edition of this textbook provides a single source for the analysis of system models repre...
Differential equations defined on Riemannian manifolds are considered and sufficient conditions of a...
The stability of equilibrium points of large scale dynamical systems described by differential equat...
AbstractThis paper presents several results pertaining to the use of lower semicontinuous Liapunov f...
This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever ...
In this paper, two methods for constructing systems of ordinary differential equations realizing any...
International audienceMany dynamical systems are periodic with respect to several state variables. T...
We wish to construct a realization theory of stable neural networks and use this theory to model the...
The Lyapunov function method is used in proving stability, asymptotic or globally asymptotic stabili...
The objective of the theory of stability of motion is to establish signs that make it possible to ju...
summary:Dynamical systems with several equilibria occur in various fields of science and engineering...
The dynamical behaviour of continuous time recurrent neural network models is studied with emphasis ...
Theorems and definitions for generation of Liapunov functions for analysis of linear and nonlinear d...
In the thesis we analyse qualitative properties of dynamical systems near equilibria. We mainly deal...
Liapunov functions are constructed for nonlinear systems of ordinary differential equations whose li...
The second edition of this textbook provides a single source for the analysis of system models repre...
Differential equations defined on Riemannian manifolds are considered and sufficient conditions of a...
The stability of equilibrium points of large scale dynamical systems described by differential equat...
AbstractThis paper presents several results pertaining to the use of lower semicontinuous Liapunov f...
This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever ...
In this paper, two methods for constructing systems of ordinary differential equations realizing any...
International audienceMany dynamical systems are periodic with respect to several state variables. T...
We wish to construct a realization theory of stable neural networks and use this theory to model the...
The Lyapunov function method is used in proving stability, asymptotic or globally asymptotic stabili...
The objective of the theory of stability of motion is to establish signs that make it possible to ju...