3 papers
math.DS2017
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…
physics.class-ph2016
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.…
physics.class-ph2016
A Method for stability analysis of magnetic bearings : Basic stability criteria
B Shayak
In this work I outline a general procedure for dynamic modeling and stability analysis of a magnetic bearing, which is a rotating shaft confined inside a chamber through electromag…