We generalize a proposal for detecting single-phonon transitions in a single nanoelectromechanical system (NEMS) to include the intrinsic anharmonicity of each mechanical oscillator. In this scheme two NEMS oscillators are coupled via a term quadratic in the amplitude of oscillation for each oscillator. One NEMS oscillator is driven and strongly damped and becomes a transducer for phonon number...

for a Brownian oscillator, where x(t) specifies the position of the particle or oscillator at time t, m is the mass, ( x is the viscous drag experienced by the particle, lVo is the oscillator frequency, and F(t) is the white-noise driving force. We also consider the rotational analogs of these two models, namely, a free single-axis rotator and a torsional oscillator. The corresponding Langevin ...

We continue to develop the 2D oscillatory network model with self-organized dynamical coupling and synchronizationbased performance for image segmentation tasks. The model has been extracted via proper reduction from 3D oscillatory network, previously designed by the authors as oscillatory model of the brain visual cortex (VC). Known neurobiological data on VC structure and functioning were re ...

Nickel oxide (NiO) thin films were prepared by nebulized spray pyrolysis (NSP) technique. The films are having more uniform thickness and there is no pinhole. Nickel oxide thin films have been deposited using 0.3M aqueous solution of nickel chloride NiCl2.6H2O onto microscopic glass substrates, which were chemically and ultrasonically cleaned before coating. The film depositions are carried out...

An ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses shows a range of non-trivial behavior, from synchronization, desynchronization, to clustering. The group behavior that arises in the ensemble can be predicted from the phase response of a single oscillator to a given impulsive perturbation. We present a theory based on phase reduction of a jump stochastic process...

Pineal melatonin release exhibits a circadian rhythm with a tight nocturnal pattern. Melatonin synthesis is regulated by the master circadian clock within the hypothalamic suprachiasmatic nucleus (SCN) and is also directly inhibited by light. The SCN is necessary for both circadian regulation and light inhibition of melatonin synthesis and thus it has been difficult to isolate these two regulat...

In this paper we study how to avoid escapes in open dynamical systems in the presence of dissipation and forcing, as it occurs in realistic physical situations. We use as a prototype model the Helmholtz oscillator, which is the simplest nonlinear oscillator with escapes. For some parameter values, this oscillator presents a critical value of the forcing for which all particles escape from its s...

We derive and analyze the Born-Markov master equation for a quantum harmonic oscillator interacting with a bath of independent two-level systems. This hitherto virtually unexplored model plays a fundamental role as one of the four “canonical” system-environment models for decoherence and dissipation. To investigate the influence of further couplings of the environmental spins to a dissipative b...

This chapter deals with the control of chaos exhibited in the behavior of a one-degree-of-freedom impact mechanical oscillator with a single rigid constraint. The mathematical model of such impact oscillator is represented by an impulsive hybrid linear non-autonomous dynamics. The proposed control approach is based chiefly on the OGY method. First, an analytical expression of a constrained cont...

We derive and analyze the Born–Markov master equation for a quantum harmonic oscillator interacting with a bath of independent two-level systems. This hitherto virtually unexplored model plays a fundamental role as one of the four “canonical” system–environment models for decoherence and dissipation. To investigate the influence of further couplings of the environmental spins to a dissipative b...