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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…
math.DS2019
Galerkin-Ivanov transformation for nonsmooth modeling of vibro-impacts in continuous structures
Surya Samukham, S. N. Khaderi, C. P. Vyasarayani
This work deals with the modeling of nonsmooth vibro-impact motion of a continuous structure against a rigid distributed obstacle. Galerkin's approach is used to approximate the so…