Shankar C. Venkataramani

Publication list

This list is not current or up-to-date. It is in the process of being fixed.

Preprints

  1. An Experimental Study of Shape Transitions and Energy Scaling in Thin Non-Euclidean Plates ,Y.Klein, S.C.Venkataramani and E.Sharon, preprint (2009).

  2. A variational theory for point defects in patterns , N.M.Ercolani and S.C.Venkataramani, preprint, Also in print J. Nonlinear Sci., (2007).

  3. Discrete Charges on a two Dimensional Conductor, Marko Kleine Berkenbusch, Isabelle Claus, Catherine Dunn, Leo P. Kadanoff, Maciej Nicewicz and Shankar C. Venkataramani, preprint, Submitted to J. Stat. Phys., (2003).

  4. Multiple scale behaviors in nonconvex variational problems, S. C. Venkataramani, preprint (2003).

  5. The energy of crumpled sheets in Föppl-von Kármán plate theory, S. C. Venkataramani, preprint, Submitted to J. Nonlinear Sci., (2003).

Papers in refereed journals

  1. Lower bounds for the energy in a crumpled elastic sheet - A minimal ridge, S. C. Venkataramani, preprint, Nonlinearity (in press).

  2. Trapping of vibrational energy in crumpled sheets, A. Gopinathan, T. A. Witten, and S. C. Venkataramani, Phys. Rev. E 65, 036613 (2002).

  3. Singularities, structures and scaling in deformed m-dimensional elastic manifolds, B. A. DiDonna, T. A. Witten, S. C. Venkataramani and E. M. Kramer, Phys. Rev. E 65, 016603 (2002).

  4. Front propagation of spatiotemporal chaos, J. W. Kim, J. Y. Vaishnav, E. Ott, S. C. Venkataramani and W. Losert, Phys. Rev. E 64, 016215 (2001).

  5. Pattern selection in extended, periodically forced systems : A Continuum coupled map approach, S. C.Venkataramani and E. Ott, Phys. Rev. E, 63, 046202 (2001).

  6. Limitations on the smooth confinement of an unstretchable manifold, S. C. Venkataramani, T. A. Witten, E. M. Kramer and R. P. Geroch, J. Math. Phys. 41, 5107 (2000).

  7. Attraction, Diffusion and Collapse, M. P. Brenner, P. Constantin, L.P. Kadanoff, A. Schenkel and S. C. Venkataramani, Nonlinearity 12, 1071 (1999).

  8. Noise stabilization of self-organized memories, M. L. Povinelli, S. N. Coppersmith, L. P. Kadanoff, S. R. Nagel, and S. C. Venkataramani, Phys. Rev. E 59, 4970 (1999).

  9. Spatio-Temporal Bifurcation Phenomena with Temporal Period doubling: Patterns in Vibrated Sand, S. C. Venkataramani and E. Ott, Phys. Rev. Lett. 80, 3495 (1998).

  10. Anomalous diffusion in bounded temporally irregular flows, S. C. Venkataramani, T.M. Antonsen Jr. and E. Ott, Physica D 112, 412 (1998).

  11. Self-Organized Short-Term Memories, S.N. Coppersmith, T.C. Jones, L.P. Kadanoff, A. Levine, J.P. McCarten, S.R. Nagel, S.C. Venkataramani, Xinlei Wu, Phys. Rev. Lett. 78, 3983 (1997).

  12. Lévy flights in fluid flows with no KAM surfaces, S.C. Venkataramani, T.M. Antonsen Jr. and E. Ott, Phys. Rev. Lett. 78, 3874 (1997).

  13. Transitions to Bubbling of Chaotic systems, S.C. Venkataramani, B.R. Hunt, E. Ott, D.J. Gauthier and J.C. Bienfang, Phys. Rev. Lett. 77, 5361 (1996).

  14. Bubbling Transition, S.C. Venkataramani, B.R. Hunt and E. Ott, Phys. Rev. E 54, 1346 (1996).

  15. On-off intermittency: Power spectrum and fractal properties of time series, S.C. Venkataramani, T.M. Antonsen Jr., E. Ott snd J.C. Sommerer, Physica D 96, 66 (1996).

  16. Riddling bifurcation in Chaotic Dynamical Systems, Y.C. Lai, C. Grebogi, J.A. Yorke and S.C. Venkataramani, Phys. Rev. Lett. 77, 55 (1996).

  17. Characterization of on-off intermittent time series, S.C. Venkataramani, T.M. Antonsen Jr., E. Ott snd J.C. Sommerer, Phys. Lett. A 207, 173 (1995).

  18. Topology of event horizons and topological censorship, T. Jacobson and S. Venkataramani, Classical and Quantum Grav. 12, 1055 (1995).

Popular Expositions, Conference Proceedings and Technical Reports

  1. Continuum Coupled Maps: A model for pattern formation in vibrated sand, E. Ott and S. C. Venkataramani in Proceedings of the 5th Experimental Chaos conference : June 28 - July 1, 1999, Orlando, Florida, World Scientific, Singapore (2001).

  2. Blowup in the chemotaxis equation, M. P. Brenner, P. Constantin, L. P. Kadanoff, A. Schenkel and S. C. Venkataramani, Technical report (1999).

  3. Cones, creases and crumpled sheets, S. Venkataramani, Physics World 11:(7), 19 (1998).

  4. Blowout bifurcations: Symmetry breaking of spatially symmetric chaotic states, E. Ott, J.C. Sommerer, T.M. Antonsen Jr. and S. Venkataramani, in Lévy flights and related topics in physics: Proceedings of the international workshop held at Nice, France, 27-30 June 1994, Springer (1995).



Reprints of most of the published papers can be obtained by sending me an e-mail at shankar@math.uchicago.edu with your postal address.
HOMEPAGE HOMEPAGE

Department of Mathematics
5734 S. University Ave.
University of Chicago
Chicago, IL 60637
shankar@math.uchicago.edu