2 papers
math.DS2020
Fast generation of stability charts for time-delay systems using continuation of characteristic roots
Surya Samukham, Thomas K. Uchida, C. P. Vyasarayani
Many dynamic processes involve time delays, thus their dynamics are governed by delay differential equations (DDEs). Studying the stability of dynamic systems is critical, but anal…
physics.comp-ph2018
Approximating strange attractors and Lyapunov exponents of delay differential equations using Galerkin projections
Anwar Sadath, Thomas K. Uchida, C. P. Vyasarayani
Delay differential equations (DDEs) are infinite-dimensional systems, so even a scalar, unforced nonlinear DDE can exhibit chaos. Lyapunov exponents are indicators of chaos and can…