22 citations · 42 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2016★ 14 cited
Thermodynamics of a one-dimensional self-gravitating gas with periodic boundary conditions
Pankaj Kumar, Bruce N. Miller, Dan Pirjol
We study the thermodynamical properties of a one-dimensional gas with one-dimensional gravitational interactions, and placed in a uniform mass background. Periodic boundary conditi…
nlin.CD2014★ 6 cited
Chaotic Dynamics of One-Dimensional Systems with Periodic Boundary Conditions
Pankaj Kumar, Bruce N. Miller
We provide appropriate tools for the analysis of dynamics and chaos for one-dimensional systems with periodic boundary conditions. Our approach allows for the investigation of the…
nlin.CD2012★ 22 cited
Topological chaos, braiding and bifurcation of almost-cyclic sets
Piyush Grover, Shane D. Ross, Mark A. Stremler +1
In certain two-dimensional time-dependent flows, the braiding of periodic orbits provides a way to analyze chaos in the system through application of the Thurston-Nielsen classific…