5 papers
Trapping of Vibrational Energy in Crumpled Sheets
Ajay Gopinathan, T. A. Witten, S. C. Venkataramani
We investigate the propagation of transverse elastic waves in crumpled media. We set up the wave equation for transverse waves on a generic curved, strained surface via a Langrangi…
Front Propagation of Spatio-temporal Chaos
J. W. Kim, J. Y. Vaishnav, E. Ott +2
We study the dynamics of the front separating a spatio-temporally chaotic region from a stable steady region using a simple model applicable to periodically forced systems. In part…
Singularities, Structures and Scaling in Deformed Elastic m-Sheets
B. A. DiDonna, S. C. Venkataramani, T. A. Witten +1
The crumpling of a thin sheet can be understood as the condensation of elastic energy into a network of ridges which meet in vertices. Elastic energy condensation should occur in r…
Limitations on the smooth confinement of an unstretchable manifold
S. C. Venkataramani, T. A. Witten, E. M. Kramer +1
We prove that an m-dimensional unit ball D^m in the Euclidean space {\mathbb R}^m cannot be isometrically embedded into a higher-dimensional Euclidean ball B_r^d \subset {\mathbb R…
Noise Stabilization of Self-Organized Memories
M. L. Povinelli, S. N. Coppersmith, L. P. Kadanoff +2
We investigate a nonlinear dynamical system which ``remembers'' preselected values of a system parameter. The deterministic version of the system can encode many parameter values d…