5 citations · 13 across the 4 of their papers we have counts for
4 papers
Synchronized oscillations on a Kuramoto ring and their entrainment under periodic driving
Tarun Kanti Roy, Avijit Lahiri
We consider a finite number of coupled oscillators as an adaptation of the Kuramoto model of populations of oscillators. The synchronized solutions are characterized by an integer…
Standing Waves in a Non-linear 1D Lattice : Floquet Multipliers, Krein Signatures, and Stability
Subhendu Panda, Anindita Lahiri, Tarun K. Roy +1
We construct a class of exact commensurate and incommensurate standing wave (SW) solutions in a piecewise smooth analogue of the discrete non-linear Schrödinger (DNLS) model and pr…
Breathers in a Discrete Nonlinear Schrödinger type Model : Exact Stability Results
Avijit Lahiri, Subhendu Panda, Tarun K. Roy
Exact stability analysis of 1-site breathers in an NLS type model (ref. [4], see below) indicates destabilisation through a growth rate becoming positive as a stability border is c…
Resonant Collisions in Four Dimensional Reversible Maps: A Description of Scenarios
A. Lahiri, A. Bhowal, T. K. Roy
We define a resonant collision of order k(geq 1) in a family of four-dimensional reversible maps. For any specified k, the bifurcation secnario is the collection of the different p…