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Long-term potentiation, or LTP, is one of the ways by which synaptic plasticity—changes in the strength of chemical synapses—can occur in the brain. LTP is the process of synaptic strengthening that occurs over time between pre and postsynaptic neuronal connections. The synaptic strengthening of LTP works in opposition to the synaptic weakening of long-term depression (LTD) and together are the main mechanisms that underlie learning and memory.
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Synaptic integration mainly includes the summation of graded potentials. Graded potentials, regardless of their type, cause subtle alterations in membrane voltage, resulting in either depolarization or hyperpolarization. These incremental changes, when combined or summed, can propel the neuron toward its threshold. Consider, for example, a membrane experiencing a +15 mV shift, causing it to depolarize from -70 mV to -55 mV. In this scenario, graded potentials govern the membrane's ability to...
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Event-Triggered Exponential Synchronization for Complex-Valued Memristive Neural Networks With Time-Varying Delays.

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    This study achieves event-triggered exponential synchronization for complex-valued memristive neural networks with time delays using a novel mechanism. This reduces data exchange in wireless networks while preventing Zeno behavior.

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    Area of Science:

    • * Computational Neuroscience
    • * Control Theory
    • * Networked Systems

    Background:

    • * Complex-valued memristive neural networks (CMNNs) are crucial for advanced computing.
    • * Synchronization in these networks is vital for coordinated operations.
    • * Time-varying delays and event-triggering present significant challenges.

    Purpose of the Study:

    • * To solve the event-triggered exponential synchronization problem for CMNNs with time-varying delays.
    • * To develop an efficient synchronization strategy reducing communication load.
    • * To ensure the absence of Zeno behavior in the event-triggered system.

    Main Methods:

    • * Decomposing CMNNs into equivalent real-valued systems.
    • * Designing a novel event-triggering mechanism for wireless networks.
    • * Establishing sufficient conditions for exponential synchronization using Lyapunov stability theory.

    Main Results:

    • * Sufficient conditions for event-triggered exponential synchronization were derived.
    • * A positive lower bound for inter-event times was guaranteed, preventing Zeno behavior.
    • * Numerical simulations validated the proposed method's effectiveness.

    Conclusions:

    • * The proposed event-triggered approach effectively achieves exponential synchronization for CMNNs.
    • * The method significantly reduces communication frequency in networked systems.
    • * The theoretical results are robust and validated by simulations.