49 citations · 112 across the 15 of their papers we have counts for
5 papers · 1 filter
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 is shown to possess an infinite and unbounded sequence of rapidly oscillating, asymptotically stable periodic solutions,…
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 for the hard spring delayed Duffing oscillator Fix . We target…
Simplified model and analysis of a pair of coupled thermo-optical MEMS oscillators
Richard H. Rand, Alan T. Zehnder, B. Shayak +1
Motivated by the dynamics of micro-scale oscillators with thermo-optical feedback, a simplified third order model, capturing the key features of these oscillators is developed, whe…
The Mathieu Differential Equation and Generalizations to Infinite Fractafolds
Shiping Cao, Anthony Coniglio, Xueyan Niu +2
One of the well-studied equations in the theory of ODEs is the Mathieu differential equation. A common approach for obtaining solutions is to seek solutions via Fourier series by c…
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…