Synchronization by Nonlinear Frequency Pulling
arXiv:cond-mat/0406673 · doi:10.1103/PhysRevLett.93.224101
Abstract
We analyze a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling motivated by the physics of arrays of nanoscale oscillators. We study the model for the mean field case of all-to-all coupling, deriving results for the onset of synchronization as the coupling or nonlinearity increase, and the fully locked state when all the oscillators evolve with the same frequency.
References in corpus (2)
Cited by in corpus (55)
- Nanomechanical Resonators and Their Applications in Biological/Chemical Detection: Nanomechanics Principles
- Mechanical systems in the quantum regime
- Synchronization of Micromechanical Oscillators Using Light
- Collective dynamics in optomechanical arrays
- Carbon nanotubes as ultra-high quality factor mechanical resonators
- Quantum synchronization of quantum van der Pol oscillators with trapped ions
- Graphene mechanical oscillators with tunable frequency
- Synchronization of two anharmonic nanomechanical oscillators
- Dynamic manipulation of mechanical resonators in the high amplitude regime through optical backaction
- Thermodynamic limit of the first-order phase transition in the Kuramoto model
- Quantum Synchronization of Two Ensembles of Atoms
- Photonic Cavity Synchronization of Nanomechanical Oscillators
- Synchronization and Phase Noise Reduction in Micromechanical Oscillators Arrays Coupled through Light
- Entanglement tongue and quantum synchronization of disordered oscillators
- A Nanoscale Parametric Feedback Oscillator
- Strong coupling between mechanical modes in a nanotube resonator
- Cooling and control of a cavity opto-electromechanical system
- Light-mediated cascaded locking of multiple nano-optomechanical oscillators
- Intrinsic localized modes in parametrically-driven arrays of nonlinear resonators
- Parametric oscillation, frequency mixing and injection locking of strongly coupled nanomechanical resonator modes
- Spontaneous synchronization of coupled oscillator systems with frequency adaptation
- Shear diversity prevents collective synchronization
- Synchronization by Reactive Coupling and Nonlinear Frequency Pulling
- Quantum-classical transition of correlations of two coupled cavities
- Classical to quantum transition of a driven nonlinear nanomechanical resonator
- High intermodulation gain in a micromechanical Duffing resonator
- Improving the Frequency Precision of Oscillators by Synchronization
- Pattern formation with trapped ions
- Pattern phase diagram for 2D arrays of coupled limit-cycle oscillators
- Response of discrete nonlinear systems with many degrees of freedom
- Vortices and the entrainment transition in the 2D Kuramoto model
- Pattern selection in parametrically-driven arrays of nonlinear resonators
- Collective synchronization in the presence of reactive coupling and shear diversity
- Patterns of patterns of synchronization: Noise induced attractor switching in rings of coupled nonlinear oscillators
- Addressing geometric non-linearities with cantilever MEMS: beyond the Duffing model
- Direct and parametric synchronization of a graphene self-oscillator
- Generating Giant and Tunable Nonlinearity in a Macroscopic Mechanical Resonator from Chemical Bonding Force
- Phonon Josephson Junction with Nanomechanical Resonators
- The Kuramoto model with distributed shear
- Cavity opto-electromechanical system combining strong electrical actuation with ultrasensitive transduction
- Parametric resonances in electrostatically interacting carbon nanotube arrays
- Homoclinic orbits and chaos in a pair of parametrically-driven coupled nonlinear resonators
- Devil's Staircase in an Optomechanical Cavity
- Solitary phase waves in a chain of autonomous oscillators
- Continuous and discontinuous transitions to synchronization
- Competing role of interactions in synchronization of exciton-polariton condensates
- Controlled assembly of graphene sheets and nanotubes: fabrication of suspended multi-element all-carbon vibrational structures
- Synchronization and temporal nonreciprocity of optical microresonators via spontaneous symmetry breaking
- Oscillations and synchronization in a system of three reactively coupled oscillators
- The Critical Properties of Two-dimensional Oscillator Arrays
- Multistability and Noise-Induced Transitions in Dispersively-Coupled Nonlinear Nanomechanical Modes
- Towards non-invasive cancer diagnostics and treatment based on electromagnetic fields, optomechanics and microtubules
- Quantitative analysis of the interaction between a dc SQUID and an integrated micromechanical doubly clamped cantilever
- Dynamics of a suspended nanowire driven by an ac Josephson current in an inhomogeneous magnetic field
- Synchronization in networks of general, weakly nonlinear oscillators