291 citations · 659 across the 20 of their papers we have counts for
4 papers · 1 filter
Bifurcations of mode-locked periodic orbits in three-dimensional maps
Sishu Shankar Muni, Soumitro Banerjee
In this paper, we report the bifurcations of mode-locked periodic orbits occurring in maps of three or higher dimensions. The `torus' is represented by a closed loop in discrete ti…
Shilnikov-type Dynamics in Three-Dimensional Piecewise Smooth Maps
Indrava Roy, Mahashweta Patra, Soumitro Banerjee
We show the existence of Shilnikov-type dynamics and bifurcation behaviour in general discrete three-dimensional piecewise smooth maps and give analytical results for the occurence…
Existence and Stability of Periodic Orbits in -Dimensional Piecewise Linear Continuous Maps
Arindam Saha, Soumitro Banerjee
Piecewise smooth maps are known to exhibit a wide range of dynamical features including numerous types of periodic orbits. Predicting regions in parameter space where such periodic…
Singularity in the discrete-time model of impacting mechanical systems
Soumya Kundu, Soumitro Banerjee
It is known that many peculiar nonlinear vibration problems in impacting systems are caused by grazing incidences. Such bifurcation phenomena are normally investigated through the…