Article

Abstract

• We study the Hamiltonian mean field (HMF) model of coupled Hamiltonian rotors with a heterogeneous distribution of moments of inertia and coupling strengths. We show that when the parameters of the rotors are heterogeneous, finite-size fluctuations can greatly modify the coupling strength at which the incoherent state loses stability by inducing correlations between the momenta and parameters of the rotors. When the distribution of initial frequencies of the oscillators is sufficiently narrow, an analytical expression for the modification in critical coupling strength is obtained that confirms numerical simulations. We find that heterogeneity in the moments of inertia tends to stabilize the incoherent state, while heterogeneity in the coupling strengths tends to destabilize the incoherent state. Numerical simulations show that these effects disappear for a wide, bimodal frequency distribution.

Creator

• Restrepo, Juan G.
• Meiss, James

Date Issued

• 2014-05-19

Academic Affiliation

• Applied Mathematics

Journal Title

• Physical Review E

Journal Volume

• 89

File Extent

• 052125

Subject

• Hamiltonian dynamics
• synchronization
• networks

Last Modified

• 2019-12-05

Resource Type

• Article

Rights Statement

• In Copyright

DOI

• 10.1103/PhysRevE.89.052125

Language

• English [eng]

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