In the space of system parameters, the closed-form stability chart is determined for the delayed Mathieu equation de ned as x(t)+ ( ¯ + " cos t)x(t) = bx(t ¡ 2 º). This sta-bility chart makes the connection between the Strutt{Ince chart of the Mathieu equa-tion and the Hsu{Bhatt{Vyshnegradskii chart of the second-order delay-di¬erential equation. The combined chart describes the intriguing stability properties of a class of delayed oscillatory systems subjected to parametric excitation
Delays appear always more frequently in applications, ranging, e.g., from population dynam...
In this brief the authors establish a new frequency-sweeping framework to solve the complete stabili...
International audienceThis paper presents a systematic method to analyse the stability of systems wi...
In the space of system parameters, the closed-form stability chart is determined for the delayed Mat...
The paper presents an ecient numerical method for the stability analysis of linear delayed systems. ...
In the present work, the version of homotopy perturbation included time-scales is applied to the gov...
Abstract We investigate the dynamics of a delayed nonlinear Mathieu equation: x ̈ + (δ + εα cos t)x ...
In order to investigate the local stability of both equilibria and periodic orbits of delayed dynami...
Parametric excitation is epitomized by the Mathieu equation, x''+(d + e cos t)x = 0, which involves ...
We have investigated the solution of the generalized Mathieu equation. With the aid of diagrams Stra...
An efficient numerical method is presented for the stability analysis of linear retarded dynamical s...
AbstractThe paper presents the results of a homogeneous Mathieu equation studies. Mathieu equation s...
Many dynamic processes involve time delays, thus their dynamics are governed by delay differential e...
The Mathieu equation $X^n$ +(a–2q cos2t)x=0 has been studied in great detail since its discovery in...
This work is devoted to the analytic study of the characteristic roots oftextitscalar autonomous del...
Delays appear always more frequently in applications, ranging, e.g., from population dynam...
In this brief the authors establish a new frequency-sweeping framework to solve the complete stabili...
International audienceThis paper presents a systematic method to analyse the stability of systems wi...
In the space of system parameters, the closed-form stability chart is determined for the delayed Mat...
The paper presents an ecient numerical method for the stability analysis of linear delayed systems. ...
In the present work, the version of homotopy perturbation included time-scales is applied to the gov...
Abstract We investigate the dynamics of a delayed nonlinear Mathieu equation: x ̈ + (δ + εα cos t)x ...
In order to investigate the local stability of both equilibria and periodic orbits of delayed dynami...
Parametric excitation is epitomized by the Mathieu equation, x''+(d + e cos t)x = 0, which involves ...
We have investigated the solution of the generalized Mathieu equation. With the aid of diagrams Stra...
An efficient numerical method is presented for the stability analysis of linear retarded dynamical s...
AbstractThe paper presents the results of a homogeneous Mathieu equation studies. Mathieu equation s...
Many dynamic processes involve time delays, thus their dynamics are governed by delay differential e...
The Mathieu equation $X^n$ +(a–2q cos2t)x=0 has been studied in great detail since its discovery in...
This work is devoted to the analytic study of the characteristic roots oftextitscalar autonomous del...
Delays appear always more frequently in applications, ranging, e.g., from population dynam...
In this brief the authors establish a new frequency-sweeping framework to solve the complete stabili...
International audienceThis paper presents a systematic method to analyse the stability of systems wi...