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Dynamics and synchronization of complex neural networks with boundary coupling

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A new mathematical model for complex neural networks of the partly diffusive Hindmasrh-Rose equations with boundary coupling is proposed. Through analysis of absorbing dynamics for the solution semiflow, the asymptotic… Click to show full abstract

A new mathematical model for complex neural networks of the partly diffusive Hindmasrh-Rose equations with boundary coupling is proposed. Through analysis of absorbing dynamics for the solution semiflow, the asymptotic synchronization of the complex neuronal networks at a uniform exponential rate is proved under the condition that stimulation signal strength of the ensemble boundary coupling exceeds a quantitative threshold expressed by the biological parameters.

Keywords: neural networks; complex neural; dynamics synchronization; synchronization complex; boundary coupling

Journal Title: Analysis and Mathematical Physics
Year Published: 2022

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