Bifurcation Analysis & State Transitions

The Bifurcation skill provides a sophisticated framework for navigating and identifying state transitions within complex dynamical systems. It enables users to detect Hopf bifurcations where equilibria transform into limit cycles, using eigenvalue analysis to pinpoint critical parameter values. By implementing GF(3) triadic logic, the skill maps system behaviors into stable (MINUS), oscillating (ERGODIC), and expanding (PLUS) states, providing unique topological insights. This tool is ideal for researchers and engineers modeling non-linear systems who need to automate regime detection, generate bifurcation diagrams, and monitor stability boundaries in real-time.

主要功能

使用场景