Synchronization and relaxation for a class of globally coupled Hamiltonian systems (Q1809417)
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scientific article; zbMATH DE number 1370263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Synchronization and relaxation for a class of globally coupled Hamiltonian systems |
scientific article; zbMATH DE number 1370263 |
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Synchronization and relaxation for a class of globally coupled Hamiltonian systems (English)
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8 August 2000
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The author examines the synchronization behaviour of a Hamiltonian version of Kuramoto's model for coupled oscillators, which is similar to the Vlasov-Poisson equation. The ordering is measured by a kinetic scalar and increasing coupling strength linearly destabilizes a in that sense desynchronized solution. In a stable range of the coupling the ordering decreases exponentially to zero in an intermediate time scale, yet asymptotically like \(t^{-3/2}\) for \(t\) to zero.
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oscillator synchronization
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globally coupled Hamiltonian oscillators
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relaxation time
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0.90971524
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0.8965243
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0.8853995
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0.8843244
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0.88401735
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