"Tensor Decomposition to Capture Spatiotemporal Patterns of Coupled Oscillator and Opinion Dynamics" by Agam Goyal and Hanbaek Lyu

This repository contains a comprehensive notebook exploring coupled oscillator systems through rigorous theory, numerical integration, and multi-domain diagnostics.

A comprehensive computational physics project that simulates wave dynamics through coupled oscillator systems, exploring normal modes, symmetry effects, and wave propagation phenomena.

Axiomatic physics model describing fundamental processes as coupling and resonance phenomena in oscillation fields. Core equation: E = π·ε(Δφ)·ℏ·f. Empirically validated across particle physics, cosmology, nuclear technology, and financial markets. Simulations, LaTeX papers, and falsifiable predictions.

Physics simulation visualizing normal modes of coupled oscillators with comprehensive testing and CI/CD

This a python simulation of coupled oscillators to obtain the normal frequencies and the position-time graphs of the oscillators and additionally also obtain lissajous figures.

A framework for constructing digital twins of brain dynamics. Reconstruct functional networks from signals and run simulations using coupled oscillator models.

Unscented Kalman Filter (UKF), to enhance modeling and understanding of neural dynamics from fMRI data using Coupled Oscillator Model.

Quantum simulation of coupled-oscillator synchronisation on IBM Heron r2 (156 qubits). Rust-accelerated (5401×). 20/20 hardware experiments. CHSH S=2.165. First heterogeneous Kuramoto-XY on quantum hardware.

This project aims to leverage nonlinear system identification techniques, focusing on the Unscented Kalman Filter (UKF), to enhance modeling and understanding of neural dynamics from fMRI data, addressing the direct challenges of noise and indirect measurement.