Kuramoto Oscillator & Ising Machine Topologies
Drag the coupling (K) and thermal noise (η) sliders above to observe real-time phase synchronization across coupled neural oscillators.
Coupled Oscillators Phase Transitions Memristive Crossbars
Overview & Motivation
Biological neural networks and neuromorphic hardware rely on collective phase synchronization to encode and transmit information efficiently. Using the Kuramoto model, we examine how individual oscillators with distributed natural frequencies ($\omega_i$) lock into coherent collective rhythms once coupling strength ($K$) surpasses a critical threshold.
Relevance to Assistive Biosignal Processing
- Noise Resilience: Modeling how organic electrochemical neurons maintain signal fidelity under thermal and physiological noise ($\eta$).
- Low-Power Compute: Exploring Ising thermalization and crossbar array dynamics as analog front-ends for wearable assistive interfaces.