3 citations · 12 across the 12 of their papers we have counts for
13 papers
Cubic Oscillator: Geometric Approach and Zeros of Eigenfunctions
Faouzi Thabet, Gliia Braek, Marwa Mansouri +1
In this paper, we give a geometric approach to the cubic oscillator with three distinct turning points based on the \emph{\ correspondence }introduced in \ci…
Topology of Stokes Complex Related to a Polynomial Quadratic Differential : Phase Transitions and Number of Short Trajectories
Gliia Braek, Mondher Chouikhi, Faouzi Thabet
In this paper, we give a full description of the critical graph of the quadratic differential defined on the Riemann sphere $\widehat{% %TCIMACRO{\U{2102} }% %BeginE…
Fingerprints of Closed Trajectories of a Strebel Quadratic Differential
Gliaa Braek, Faouzi Thabet
In this note, we study the fingerprints of closed smooth curves that are trajectories of a particular Strebel quadratic differentials. It is a generalization of the cases of polyno…
Recurrent Trajectories and Finite Critical Trajectories of Quadratic Differentials on the Riemann Sphere
Faouzi Thabet
In this paper, the focus will be on both the existence and non-existence respectively of finite critical trajectories and recurrent trajectories of a quadratic differential on the…
Lemniscates as Trajectories of Quadratic Differentials (I)
Faouzi Thabet
In this note, we study polynomial and rational lemniscates as trajectories of related quadratic differentials. Many classic results can be then proved easily...
Trajectories of a quadratic differential related to a quasi-exactly solvable sextic oscillator
Mohamed Jalel Atia, Wafaa Karrou, Mondher Chouikhi +1
In this paper, we discuss the existence of solution (as Cauchy transform of a signed measure) of a particular algebraic quadratic equation of the form $\mathcal{C}^{2}\left( z\righ…