New methods for the investigation of periodic solutions in ring systems of unidirectionally coupled oscillators (Q384032)
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scientific article; zbMATH DE number 6232398
| Language | Label | Description | Also known as |
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| English | New methods for the investigation of periodic solutions in ring systems of unidirectionally coupled oscillators |
scientific article; zbMATH DE number 6232398 |
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New methods for the investigation of periodic solutions in ring systems of unidirectionally coupled oscillators (English)
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25 November 2013
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Existence and stability of traveling waves for unidirectionally coupled nonlinear oscillators on a ring is analyzed in this paper. The waves are interpreted as periodic solutions of an auxiliary delay differential equation, for which the linear stability analysis is performed. The theory is illustrated with the detailed analysis of a class of coupled oscillator models, which includes the Hopfield neural network.
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coupled oscillators
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traveling wave
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stability
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delay differential equations
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Hopfield network
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