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Stability of two-mode internal resonance in a nonlinear oscillator
(Springer, 2018-05)
We analyze the stability of synchronized periodic motion for two coupled oscillators, representing two interacting oscillation modes in a nonlinear vibrating beam. The main oscillation mode is governed by the forced Duffing ...
Collective modes of coupled phase oscillators with delayed coupling
(American Physical Society, 2012-04)
We study the effects of delayed coupling on timing and pattern formation in spatially extended systems of dynamic oscillators. Starting from a discrete lattice of coupled oscillators, we derive a generic continuum theory ...
Direct observation of coherent energy transfer in nonlinear micromechanical oscillators
(Nature Publishing Group, 2017-05-26)
Energy dissipation is an unavoidable phenomenon of physical systems that are directly coupled to an external environmental bath. In an oscillatory system, it leads to the decay of the oscillation amplitude. In situations ...
Chemical event chain model of coupled genetic oscillators
(American Physical Society, 2018-03)
We introduce a stochastic model of coupled genetic oscillators in which chains of chemical events involved in gene regulation and expression are represented as sequences of Poisson processes. We characterize steady states ...
Optimal wave energy extraction for oscillating water columns using second-order sliding mode control
(Institution of Engineering and Technology, 2020-07-06)
Ocean waves are an important renewable energy resource and several fields of R&D are concurrently working to improve technologies for harnessing their power. In that context, this study presents a control to optimise the ...
Effects of noise on the internal resonance of a nonlinear oscillator
(Nature Publishing Group, 2018-12)
We numerically analyze the response to noise of a system formed by two coupled mechanical oscillators, one of them having Duffing and van der Pol nonlinearities, and being excited by a self-sustaining force proportional ...
Exact dynamics and squeezing in two harmonic modes coupled through angular momentum
(IOP Publishing, 2015-07)
We investigate the exact dynamics of a system of two independent harmonic oscillators coupled through their angular momentum. The exact analytic solution of the equations of motion for the field operators is derived, and ...
Duffing revisited: Phase-shift control and internal resonance in self-sustained oscillators
(Springer, 2016-01)
We address two aspects of the dynamics of the forced Duffing oscillator which are relevant to the technology of micromechanical devices and, at the same time, have intrinsic significance to the field of nonlinear oscillating ...
Internal resonance in a vibrating beam: A zoo of nonlinear resonance peaks
(Public Library of Science, 2016-09-20)
In oscillating mechanical systems, nonlinearity is responsible for the departure from proportionality between the forces that sustain their motion and the resulting vibration amplitude. Such effect may have both beneficial ...
Dynamics of mobile coupled phase oscillators
(American Physical Society, 2013-03-21)
We study the transient synchronization dynamics of locally coupled phase oscillators moving on a one-dimensional lattice. Analysis of spatial phase correlation shows that mobility speeds up relaxation of spatial modes and ...