Add to ORKGWe obtain power series solutions to the \abc equation" dy dx = a+ b cos y + c cos x; valid for small c, and for small b. This equation is shown to determine the stability of the quasiperiodic Mathieu equation, z + ( + A 1 cos t+ A 2 cos!t)z = 0; in the small limit. Perturbation results of the abc equation are shown to compare favorably to numerical integration of the quasiperiodic Mathieu equation
International audienceWe propose two methods to find analytic periodic approximations intended for d...
In the space of system parameters, the closed-form stability chart is determined for the delayed Mat...
Quasi-periodic (QP) solutions of a weakly damped non-linear QP Mathieu equation are investigated nea...
In this work, we investigate regions of stability in the vicinity of 2:2:1 resonance in the quasiper...
Abstract. In this work, we investigate regions of stability in the vicinity of 2:2:1 resonance in th...
Abstract. We investigate the damped cubic nonlinear quasiperiodic Mathieu equation d2x dt2 + (δ + ε ...
The Mathieu equation $X^n$ +(a–2q cos2t)x=0 has been studied in great detail since its discovery in...
Abstract. In this paper, we investigate the interaction of subharmonic resonances in the nonlinear q...
This paper concerns the quadratically-damped Mathieu equation: 3x + (+ cos t)x + ẋ|ẋ| = 0: Numeri...
Based on the paper of Arnol’d [1] on the problems of Mathieu type, we suggest a modified Feynmann di...
Power series expansions naturally arise whenever solutions of ordinary differential equations are st...
AbstractThe paper presents the results of a homogeneous Mathieu equation studies. Mathieu equation s...
In the following we consider a 2-dimensional system of ODEs containing quasiperiodic terms. The syst...
We are concerned with the existence and uniqueness of the quasiperiodic solution to Duffing type equ...
We consider a perturbed Hill’s equation of the form φ̈+(p0(t) + εp1(t))φ = 0, where p0 is real analy...
International audienceWe propose two methods to find analytic periodic approximations intended for d...
In the space of system parameters, the closed-form stability chart is determined for the delayed Mat...
Quasi-periodic (QP) solutions of a weakly damped non-linear QP Mathieu equation are investigated nea...
In this work, we investigate regions of stability in the vicinity of 2:2:1 resonance in the quasiper...
Abstract. In this work, we investigate regions of stability in the vicinity of 2:2:1 resonance in th...
Abstract. We investigate the damped cubic nonlinear quasiperiodic Mathieu equation d2x dt2 + (δ + ε ...
The Mathieu equation $X^n$ +(a–2q cos2t)x=0 has been studied in great detail since its discovery in...
Abstract. In this paper, we investigate the interaction of subharmonic resonances in the nonlinear q...
This paper concerns the quadratically-damped Mathieu equation: 3x + (+ cos t)x + ẋ|ẋ| = 0: Numeri...
Based on the paper of Arnol’d [1] on the problems of Mathieu type, we suggest a modified Feynmann di...
Power series expansions naturally arise whenever solutions of ordinary differential equations are st...
AbstractThe paper presents the results of a homogeneous Mathieu equation studies. Mathieu equation s...
In the following we consider a 2-dimensional system of ODEs containing quasiperiodic terms. The syst...
We are concerned with the existence and uniqueness of the quasiperiodic solution to Duffing type equ...
We consider a perturbed Hill’s equation of the form φ̈+(p0(t) + εp1(t))φ = 0, where p0 is real analy...
International audienceWe propose two methods to find analytic periodic approximations intended for d...
In the space of system parameters, the closed-form stability chart is determined for the delayed Mat...
Quasi-periodic (QP) solutions of a weakly damped non-linear QP Mathieu equation are investigated nea...