In its most basic form an oscillator consists of a resonator driven on resonance, through feedback, to create a periodic signal sustained by a static energy source. The generation of a stable frequency, the basic function of oscillators, is typically achieved by increasing the amplitude of motion of the resonator while remaining within its linear, harmonic regime. Contrary to this conventional ...

Realizing the promise of quantum information processing remains a daunting task given omnipresence noise and error. Adapting noise-resilient classical computing modalities to mechanics may be viable path towards near-term applications in noisy intermediate-scale era. Here, we propose continuous variable reservoir single nonlinear oscillator. Through numerical simulation our model demonstrate qu...

Abstract We report the occurrence of bursting oscillations in a gyroscope oscillator driven by low-frequency external period forcing. The patterns arise when either frequency or amplitude excitation force is varied. They take form pulse-shaped explosions (PSEs) wherein periodic attractors lower periodicity disappear due to loss asymptotic stability equilibrium point between resting and active s...

In this paper we deal with the synchronization of chaotic oscillators with Liouvillian properties (chaotic Liouvillian system) based on nonlinear observer design. The strategy consists of proposing a polynomial observer (slave system) which tends to follow exponentially the chaotic oscillator (master system). The proposed technique is applied in the synchronization of Chua’s circuit using Matla...

We consider the Bose–Einstein condensate in a parabolic trap as a macroscopic quantum oscillator and describe, analytically and numerically, its collective modes — a nonlinear generalisation of the (symmetric and antisymmetric) Hermite–Gauss eigenmodes of a harmonic quantum oscillator.  2001 Elsevier Science B.V. All rights reserved. PACS: 03.75.F; 03.75.-b; 03.50.-z; 73.20.Dx The recent obser...

Dynamic stabilization of an unstable periodic orbit, a new interesting non-equilibrium phenomenon in driven nonlinear systems, has been experimentally observed in an electronic analog circuit of a driven double-well Duffing oscillator. We suggest that the dynamic stabilization is a generic property of driven nonlinear systems with humped potentials. q 2000 Published by Elsevier Science B.V.

A previous paper,1 denoted by I, reported observation of universal chaotic behavior for a driven nonlinear semiconductor oscillator which shows successive period-doubling bifurcations as a route to chaos.2 Semiquantitative agreement was observed for several universal numbers computed from simple nonlinear finite difference equations of the Feigenbaum universality class, which includes the logis...