R. Rand

activity

20142022

most citedMaster-Slave Locking of Optomechanical Oscillators Over A Long Distance

49 citations · 112 across the 15 of their papers we have counts for

collaborators

Showing 2019 · math.DSShow all

3 papers · 2 filters

math.DS2019

Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis

Si Mohamed Sah, Bernold Fiedler, B. Shayak +1

The delayed Duffing equation $x ¨ (t) + x (t - T) + x^{3} (t) = 0$ is shown to possess an infinite and unbounded sequence of rapidly oscillating, asymptotically stable periodic solutions,…

math.DS2019★ 18 cited

Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators

Bernold Fiedler, Alejandro López Nieto, Richard H. Rand +3

We explore stability and instability of rapidly oscillating solutions $x (t)$ for the hard spring delayed Duffing oscillator $x^{''} (t) + a x (t) + b x (t - T) + x^{3} (t) = 0.$ Fix $T > 0$ . We target…

math.DS2019

Limiting the Oscillations in Queues with Delayed Information Through a Novel Type of Delay Announcement

Sophia Novitzky, Jamol Pender, Richard Rand +1

Many service systems use technology to notify customers about their expected waiting times or queue lengths via delay announcements. However, in many cases, either the information…