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A common process in ODE theory is to linearize an ODE system about an equilibrium point to determine the local stability properties of its orbits. Less common are results that quantify the domain of stability in the original system. We study a class of ODE systems where the domain of nonlinear stability is significantly small given the parameters of the problem. The aim of this paper is to attempt to quantify this region of stability.MathematicsDoctoralUniversity of New Mexico. Dept. of Mathematics and StatisticsLorenz, JensPereyra, M. CristinaLau, StephenSorrentino, Francesc
A general class of nonlinear systems is investigated from the stand-point of global asymptotic stabi...
AbstractWe present some sufficient conditions for the asymptotic stability of oscillations in nonlin...
The goal of this thesis was to examine global behaviour of solutions of a particular non-linear syst...
A common process in ODE theory is to linearize an ODE system about an equilibrium point to determine...
' The classical linearization approach to stability theory determines whether or not a system i...
Systems of non-linear ordinary differential equations with small disturbances and invariant sets are...
The book investigates stability theory in terms of two different measure, exhibiting the advantage o...
ABSTRACT: Finding a suitable estimation of stability domain around stable equilibrium points is an i...
Abstract. The focus of this paper is on the use of linearization techniques and lin-ear differential...
In this article we present an ordinary differential equation based technique to study the quadratic ...
This thesis deals with the study of the boundedness of the error between a given (often difficult to...
We consider families of systems of two-dimensional ordinary differential equations with the origin $...
Two new algorithms are developed to determine estimates for the domain of attraction of the equilibr...
This thesis is primarily a presentation of energy stability results obtained in some standard partia...
AbstractA local stability analysis is given for both the analytic and numerical solutions of the ini...
A general class of nonlinear systems is investigated from the stand-point of global asymptotic stabi...
AbstractWe present some sufficient conditions for the asymptotic stability of oscillations in nonlin...
The goal of this thesis was to examine global behaviour of solutions of a particular non-linear syst...
A common process in ODE theory is to linearize an ODE system about an equilibrium point to determine...
' The classical linearization approach to stability theory determines whether or not a system i...
Systems of non-linear ordinary differential equations with small disturbances and invariant sets are...
The book investigates stability theory in terms of two different measure, exhibiting the advantage o...
ABSTRACT: Finding a suitable estimation of stability domain around stable equilibrium points is an i...
Abstract. The focus of this paper is on the use of linearization techniques and lin-ear differential...
In this article we present an ordinary differential equation based technique to study the quadratic ...
This thesis deals with the study of the boundedness of the error between a given (often difficult to...
We consider families of systems of two-dimensional ordinary differential equations with the origin $...
Two new algorithms are developed to determine estimates for the domain of attraction of the equilibr...
This thesis is primarily a presentation of energy stability results obtained in some standard partia...
AbstractA local stability analysis is given for both the analytic and numerical solutions of the ini...
A general class of nonlinear systems is investigated from the stand-point of global asymptotic stabi...
AbstractWe present some sufficient conditions for the asymptotic stability of oscillations in nonlin...
The goal of this thesis was to examine global behaviour of solutions of a particular non-linear syst...
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