35 citations · 55 across the 5 of their papers we have counts for
5 papers
Oscillators with Parametrically Excited Nonlinearity: Resonance, Anti-resonance and Switch
Sagar Chakraborty, Amartya Sarkar
We discover presence of a hitherto unexplored type of resonance in a parametrically excited Van der Pol oscillator. The oscillator also possesses a state of anti-resonance. In the…
Renormalization group and isochronous oscillations
Amartya Sarkar, J. K. Bhattacharjee
We show how the condition of isochronicity can be studied for two dimensional systems in the renormalization group (RG) context. We find a necessary condition for the isochronicity…
Center or Limit Cycle: Renormalization Group as a Probe
Amartya Sarkar, J. K. Bhattacharjee, Sagar Chakraborty +1
Based on our studies done on two-dimensional autonomous systems, forced non-autonomous systems and time-delayed systems, we propose a unified methodology - that uses renormalizatio…
Approximation Techniques for Non Linear Oscillators
J. K. Bhattacharjee, Debabrata Dutta, Amartya Sarkar
We show that the Lindstedt-Poincare perturbation theory is always a reliable technique in the region of small coupling constant. The harmonic balance result, on the other hand, if…
On two-dimensionalization of three-dimensional turbulence in shell models
Sagar Chakraborty, Mogens H. Jensen, Amartya Sarkar
Applying a modified version of the Gledzer-Ohkitani-Yamada (GOY) shell model, the signatures of so-called two-dimensionalization effect of three-dimensional incompressible, homogen…