Eigenvalues and the Stability of Systems: Why «Lawn n’ Disorder» Illuminates Dynamical Balance
Eigenvalues serve as hidden architects of system stability in linear dynamics, acting as quantitative sentinels that reveal whether a system converges, oscillates, or diverges over time. A positive eigenvalue magnitude exceeding unity signals instability, while values within the unit circle guarantee convergence toward equilibrium—a principle foundational to control theory, signal processing, and network resilience.When eigenvalues […]
