The dynamics of two nonlinear Bloch systems is studied from the viewpoint of bifurcation and a particular parameter space has been explored for the stability analysis based on stability criterion. This enables the choice of the desired unstable periodic orbit from the numerous unstable ones present within the attractor through the process of closed return pairs. A generalized active control met...

We report the observation of rotational Bloch oscillations in a gas of nitrogen molecules kicked by a periodic train of femtosecond laser pulses. A controllable detuning from the quantum resonance creates an effective accelerating potential in angular momentum space, inducing Bloch-like oscillations of the rotational excitation. These oscillations are measured via the temporal modulation of the...

Let $ \mu be a positive Borel measure on the interval [0, 1) $. The Hankel matrix {\mathcal H}_\mu = (\mu_{n+k})_{n, k\geq 0} with entries \mu_{n, k} \mu_{n+k} induces operator H}_\mu(f)(z) \sum\limits_{n 0}^\infty\left(\sum\limits_{k 0}^\infty\mu_{n,k}a_k\right)z^n space of all analytic functions f(z) \sum^\infty_{n 0}a_nz^n in unit disk {\mathbb{D}} In this paper, we characterize boundedness ...

Let D be the open unit disk in the complex plane C, H(D) the class of all analytic functions on D and φ an analytic self-map of D. In order to unify the products of composition, multiplication, and differentiation operators, Stević and Sharma introduced the following so-called Stević-Sharma operator on H(D): Tψ1,ψ2,φf(z) = ψ1(z)f(φ(z)) + ψ2(z)f ′(φ(z)), where ψ1, ψ2 ∈ H(D). By constructing some...