The classical nonlinear oscillator (NO) model has been reported to result in more natural-sounding speech than traditional linear methods. In this paper, we investigate the application of a novel class of oscillator models called Interval Domain (ID) models to speech. Unlike the classical NO model, ID models have compact representations that can describe a wide range of linear and nonlinear sig...

The perception of stimuli with ramped envelopes (gradual attack and abrupt decay) and damped envelopes (abrupt attack and gradual decay) was studied in subjective and objective tasks. Magnitude estimation (ME) of perceived duration was measured for broadband noise, 1.0-kHz, and 8.0-kHz tones for durations between 10 and 200 ms. Damped sounds were judged to be shorter than ramped sounds. Matchin...

We provide a protocol for Hamiltonian parameter estimation which relies only on the Zeeman effect. No time-dependent quantities need to be measured; it fully suffices to observe spectral shifts induced by fields applied to local "markers." We demonstrate the idea with a simple tight-binding Hamiltonian and numerically show stability with respect to Gaussian noise on the spectral measurements. T...

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 ...

The nonlinear generalized modified Emden-type equations (GMEE) are known to be linearizable into simple harmonic oscillator (HO) or damped oscillators (DHO) via some nonlocal transformations. Hereby, we show that the structure of transformation and linearizability HO DHO determines nature/structure dynamical forces involved (hence, determine equation). Yet, a reverse engineering strategy is use...

The effects of an additive noise due to stochastic environmental fluctuations on robust collective behaviors in a population of oscillators with dynamical coupling are investigated. We show that an appropriate noise intensity may induce robust collective behaviors by compensating the coupling inefficiency, reducing the coupling redundance, and eliminating the sensitive dependence on initial con...

We report experimental and numerical results on noise-enhanced synchronization of two coupled chaotic oscillators. Enhanced synchronization is achieved through superimposing small-amplitude Gaussian noise on a common system parameter of the two chaotic oscillators. A resonancelike behavior is found: at an optimum level of noise, maximum synchronization is attained. The simulations show that the...

In this paper we analyze the quantum control of squeezed states of harmonic oscillators as well as spin squeezing and its relationship to quadrature squeezed states of other bosonic fields. Squeezing provides a method for reducing noise below the quantum limit and provides an example of the control of under-actuated control systems in the stochastic and quantum context. We consider also the int...

Although the cognitive and clinical correlates of spontaneous human alpha oscillations as recorded with electroencephalography (EEG) or magnetoencephalography (MEG) are well documented, the dynamics underlying these oscillations is still a matter of debate. This study proposes a data-driven method to reveal the dynamics of these oscillations. It demonstrates that spontaneous human alpha oscilla...

Abstract Locking of oscillators to ultra-stable external sources is paramount importance for improving close-to-carrier phase noise in free running oscillators. In most them, such as Micro-Electro-Mechanical-Systems or LC circuit-based oscillators, the locking frequency range limited by robustness their natural frequency, which comes explicitly related with intrinsic parameters system. this wor...