AUTO-RS: AUTO Continuation/Bifurcation Software Revival

Revival of AUTO continuation/bifurcation software in Rust. Originally created by Eusebius Doedel (1980s) at Concordia University.

AUTO is the gold standard for numerical continuation and bifurcation analysis of ODEs, PDEs, and algebraic equations.

This crate provides:

• Natural parameter continuation
• Pseudo-arclength continuation
• Bifurcation detection (saddle-node, Hopf, branch points)
• Stability analysis via eigenvalue computation
• Branch switching at bifurcation points

Reference: Doedel, E.J. et al. AUTO-07P: Continuation and Bifurcation Software for Ordinary Differential Equations.