9 citations · 9 across the 7 of their papers we have counts for
7 papers
Ambiguity in the use of SIR models to fit epidemic incidence data
B Shayak, Sana Jahedi, James A Yorke
When fitting a multi-parameter model to a data set, computer algorithms may suggest that a range of parameters provide equally reasonable fits, making the parameter estimation diff…
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,…
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…
A New self-propelled magnetic bearing with helical windings
B Shayak
In this work a design is proposed for an active, permanent magnet based, self-propelled magnetic bearing i.e. levitating motor having the following features : (a) simple winding st…
Analysis of a remarkable singularity in a nonlinear DDE
Matthew Davidow, B. Shayak, Richard H. Rand
In this work we investigate the dynamics of the nonlinear DDE (delay-differential equation) x''(t)+x(t-T)+x(t)^3=0 where T is the delay. For T=0 this system is conservative and exh…
The Physics of Motorcycles and Fast Bicycles : Lean, Stability and Counter-steering
B Shayak
In this work I will obtain the system of nonlinear equations that correctly describes the motion of motorcycles and fast bicycles (above 30 km/hr) for the first time in literature.…