18 citations · 23 across the 3 of their papers we have counts for
4 papers
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…
Background force compensation in dynamic atomic force microscopy
Riccardo Borgani, Per-Anders Thorén, Daniel Forchheimer +4
Background forces are linear long-range interactions of the cantilever body with its surroundings that must be compensated for in order to reveal tip-surface force, the quantity of…
Delay Terms in the Slow Flow
Si Mohamed Sah, Richard H. Rand
This work concerns the dynamics of nonlinear systems that are subjected to delayed self-feedback. Perturbation methods applied to such systems give rise to slow flows which charact…