International audienceIn contrast to the well-known phenomenon of frequency stabilization in a synchronized noisy nonlinear oscillator, little is known about its amplitude stability. In this paper, we investigate experimentally and theoretically the amplitude evolution and stability of a nonlinear nanomechanical self-sustained oscillator that is synchronized with an external harmonic drive. We show that the phase difference between the tones plays a critical role on the amplitude level, and we demonstrate that in the strongly nonlinear regime, its amplitude fluctuations are reduced considerably. These findings bring to light a new facet of the synchronization phenomenon, extending its range of applications beyond the field of clock-referenc...
Thesis (Ph.D.)--Boston UniversityPLEASE NOTE: Boston University Libraries did not receive an Authori...
We study a model for a nonlinear mechanical oscillator, relevant to the dynamics of micro- and nanom...
Using amplitude equations, we describe the classical dynamics of N nano-mechanical resonators inside...
International audienceIn contrast to the well-known phenomenon of frequency stabilization in a synch...
In contrast to the well-known phenomenon of frequency stabilization in a synchronized noisy nonlinea...
Frequency and time references play an essential role in modern technology and in living systems. The...
An autonomous oscillator synchronizes to an external harmonic force only when the forcing frequency ...
Mechanical oscillators are present in almost every electronic device. They mainly consist of a reson...
We address two aspects of the dynamics of the forced Duffing oscillator which are relevant...
We study the dynamics of a mechanical oscillator with linear and cubic forces – the Duffing oscillat...
Synchronization phenomenon first discovered in Huygens’ clock shows that the rhythms of oscillating ...
We analyze the stability of synchronized periodic motion for two coupled oscillators, representing t...
Even though synchronization in autonomous systems has been observed for over three centuries, report...
In its most basic form an oscillator consists of a resonator driven on resonance, through feedback, ...
Abstract—The nonlinear dynamics of micromechanical oscil-lators are explored experimentally. Devices...
Thesis (Ph.D.)--Boston UniversityPLEASE NOTE: Boston University Libraries did not receive an Authori...
We study a model for a nonlinear mechanical oscillator, relevant to the dynamics of micro- and nanom...
Using amplitude equations, we describe the classical dynamics of N nano-mechanical resonators inside...
International audienceIn contrast to the well-known phenomenon of frequency stabilization in a synch...
In contrast to the well-known phenomenon of frequency stabilization in a synchronized noisy nonlinea...
Frequency and time references play an essential role in modern technology and in living systems. The...
An autonomous oscillator synchronizes to an external harmonic force only when the forcing frequency ...
Mechanical oscillators are present in almost every electronic device. They mainly consist of a reson...
We address two aspects of the dynamics of the forced Duffing oscillator which are relevant...
We study the dynamics of a mechanical oscillator with linear and cubic forces – the Duffing oscillat...
Synchronization phenomenon first discovered in Huygens’ clock shows that the rhythms of oscillating ...
We analyze the stability of synchronized periodic motion for two coupled oscillators, representing t...
Even though synchronization in autonomous systems has been observed for over three centuries, report...
In its most basic form an oscillator consists of a resonator driven on resonance, through feedback, ...
Abstract—The nonlinear dynamics of micromechanical oscil-lators are explored experimentally. Devices...
Thesis (Ph.D.)--Boston UniversityPLEASE NOTE: Boston University Libraries did not receive an Authori...
We study a model for a nonlinear mechanical oscillator, relevant to the dynamics of micro- and nanom...
Using amplitude equations, we describe the classical dynamics of N nano-mechanical resonators inside...