41 citations · 237 across the 24 of their papers we have counts for
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Lyapunov spectra of Coulombic and gravitational periodic systems
Pankaj Kumar, Bruce N. Miller
We compute Lyapunov spectra for Coulombic and gravitational versions of the one-dimensional systems of parallel sheets with periodic boundary conditions. Exact time evolution of ta…
Dynamics of Coulombic and Gravitational Periodic Systems
Pankaj Kumar, Bruce N. Miller
We study the dynamics and the phase-space structures of Coulombic and self-gravitating versions of the classical one-dimensional 3-body system with periodic boundary conditions. We…
A Three Dimensional Gravitational Billiard in a Cone
Cameron K. Langer, Bruce N. Miller
Billiard systems offer a simple setting to study regular and chaotic dynamics. Gravitational billiards are generalizations of these classical billiards which are amenable to both a…
Regular and Chaotic Dynamics of a Piecewise Smooth Bouncer
Cameron K. Langer, Bruce N. Miller
The dynamical properties of a particle in a gravitational field colliding with a rigid wall moving with piecewise constant velocity are studied. The linear nature of the wall's mot…
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…
Dynamics of an Inelastic Gravitational Billiard with Rotation
Alexandre E. Hartl, Bruce N. Miller, Andre P. Mazzoleni
The seminal physical model for investigating formulations of nonlinear dynamics is the billiard. Gravitational billiards provide an experimentally accessible arena for their invest…