nonlinear-dynamics

Code for "Nonlinear, Natural, and Noisy: A Quantitative Approach to the Collection and Analysis of Real-World Social Behavior" (Chiovaro & Paxton, under review).

an R package implementing the filtering algorithms for the state-space models on the Stiefel manifold

🌀 Illustration of the Lorenz System

VNAE-Blockchain-Consensus-Dynamics explores the geometric stability of decentralized consensus protocols under heterogeneity, network sparsity, and persistent adversarial forcing.

Abstract power grid dynamics under asymmetric dissipation, illustrating geometric stability in the VNAE framework.

Victoria-Nash Asymmetric Equilibrium (VNAE) framework for massive multi-agent systems. Scalable stability analysis for 10,000+ agents using Riemannian geometry and structural curvature K.

Empirical dynamic modelling: state-space reconstruction and convergent cross mapping for nonlinear time series

Replication materials for: 'Part A - Expected Free Energy as a Structural Architecture of Individual Choice'

Research-grade implementations of nonlinear dynamical systems, predictability, and regime behavior across complex systems (ecology, synthetic systems, and beyond)

Joint Recurrence Quantification Analysis and Joint Dynamical Invariants for Coupled Time Series