67 citations · 845 across the 53 of their papers we have counts for
53 papers
Quantum-Classical Correspondence in a Quartic Oscillator -- Corrections to Frequency and Bounds for Periodic Motion
Mandas Biswas, Deb Shankar Ray
We take a qualitative comparative look at quantum and classical quartic anharmonic oscillators. It has been shown that the behavior of the quantum anharmonic oscillator mimics that…
Phase diffusion and fluctuations in a dissipative Bose-Josephson junction
Abhik Kumar Saha, Deb Shankar Ray, Bimalendu Deb
We analyze the phase diffusion, quantum fluctuations and their spectral features of an one-dimensional Bose-Josephson junction (BJJ) coupled to a bosonic heat bath. We show the dep…
Microscopic quantum generalization of classical Liénard oscillators
Srijan Bhattacharyya, Arnab Ghosh, Deb Shankar Ray
Based on a system-reservoir model and an appropriate choice of nonlinear coupling, we have explored the microscopic quantum generalization of classical Liénard systems. Making use…
Systematic designing of bi-rhythmic and tri-rhythmic models in families of Van der Pol and Rayleigh oscillators
Sandip Saha, Gautam Gangopadhyay, Deb Shankar Ray
Van der Pol and Rayleigh oscillators are two traditional paradigms of nonlinear dynamics. They can be subsumed into a general form of Liénard--Levinson--Smith(LLS) system. Based on…
Nonlinear dynamics of emergent traveling waves in a reaction-Cattaneo system
Pushpita Ghosh, Deb Shankar Ray
Standard diffusion equation is based on Brownian motion of the dispersing species without considering persistence in the movement of the individuals. This description allows for th…
Parametric oscillations in a dissipative bosonic Josephson junction
Abhik Kumar Saha, Deb Shankar Ray, Bimalendu Deb
We study the dynamics of a nonlinear dissipative bosonic Josephson junction (BJJ) with a time-dependent sinusoidal perturbation in interaction term. We demonstrate parametric reson…