Energy exchange in globally coupled mechanical phase oscillators.

  title={Energy exchange in globally coupled mechanical phase oscillators.},
  author={Ra{\'u}l I. Sosa and Dami{\'a}n H. Zanette},
  journal={Physical review. E},
  volume={102 1-1},
We study the stationary dynamics of energy exchange in an ensemble of phase oscillators, coupled through a mean-field mechanical interaction and added with friction and an external periodic excitation. The degree of entrainment between different parts of the ensemble and the external forcing determines three dynamical regimes, each of them characterized by specific rates of energy exchange. Using suitable approximations, we are able to obtain analytical expressions for those rates, which are in… 
1 Citations

Figures from this paper

Inherent anti-interference in fractional-order autonomous coupled resonator
Coupled resonator is one of the fundamental physical systems, which has always been modeled by integer-order calculus or composed of integer-order components. To achieve wider operating area of low


Direct observation of coherent energy transfer in nonlinear micromechanical oscillators
This work exploits the nonlinear dynamic response of microelectromechanical oscillators to couple two different vibrational modes through an internal resonance and demonstrates a novel dissipation engineering strategy that can support stable oscillations without supplying external energy to compensate losses.
Self-consistent method and steady states of second-order oscillators
The self-consistent method, first introduced by Kuramoto, is a powerful tool for the analysis of the steady states of coupled oscillator networks. For second-order oscillator networks complications
Clustering and relaxation in Hamiltonian long-range dynamics.
  • Antoni, Ruffo
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1995
A two-cluster drifting state with zero magnetization forms spontaneously at very small temperatures; at larger temperatures an initial density modulation produces this state, which relaxes very slowly, which suggests the possibility of exciting magnetized states in a mean-field antiferromagnetic system.
Self-Sustained Micromechanical Oscillator with Linear Feedback.
A new self-sustaining scheme that relies on the nonlinearity originating from the resonator itself to limit the oscillation amplitude, while the feedback remains linear is proposed.
Synchronization: Theory and Application
Cycling attractors of coupled cell systems and dynamics with symmetry.- Modelling diversity by chaos and classification by synchronization.- Basic Principles of Direct Chaotic Communications.-
Transient Dynamics of a Superconducting Nonlinear Oscillator
We investigate the transient dynamics of a lumped-element oscillator based on a dc superconducting quantum interference device (SQUID). The SQUID is shunted with a capacitor, forming a nonlinear
Energy-dependent path of dissipation in nanomechanical resonators.
New possibilities to manipulate vibrational states, engineer hybrid states with mechanical modes at completely different frequencies, and to study the collective motion of this highly tunable system are opened up.
Dynamics and thermodynamics of systems with long-range interactions
Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction.- Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction.- Statistical Mechanics.-
Chemical oscillations
A chemical reaction is usually thought of as coming together of reactant molecules to form products. The concentrations of initial components (reactants) decrease, and concentrations of products
Characterization of MEMS Resonator Nonlinearities Using the Ringdown Response
We present a technique for estimation of the model parameters for a single-mode vibration of symmetric micromechanical resonators, including the coefficients of conservative and dissipative