Applied mathematics of chaotic systems

PDF Version Also Available for Download.

Description

This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). The objectives of the project were to develop new mathematical techniques for describing chaotic systems and for reexpressing them in forms that can be solved analytically and computationally. The authors focused on global bifurcation analysis of rigid body motion in an ideal incompressible fluid and on an analytical technique for the exact solution of nonlinear cellular automata. For rigid-body motion, they investigated a new completely integrable partial differential equation (PDE) representing model motion of fronts in nematic crystals and ... continued below

Physical Description

6 p.

Creation Information

Jen, E.; Alber, M.; Camassa, R.; Choi, W.; Crutchfield, J.; Holm, D. et al. July 1, 1996.

Context

This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 11 times . More information about this report can be viewed below.

Who

People and organizations associated with either the creation of this report or its content.

Authors

Sponsor

Publisher

Provided By

UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

Contact Us

What

Descriptive information to help identify this report. Follow the links below to find similar items on the Digital Library.

Description

This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). The objectives of the project were to develop new mathematical techniques for describing chaotic systems and for reexpressing them in forms that can be solved analytically and computationally. The authors focused on global bifurcation analysis of rigid body motion in an ideal incompressible fluid and on an analytical technique for the exact solution of nonlinear cellular automata. For rigid-body motion, they investigated a new completely integrable partial differential equation (PDE) representing model motion of fronts in nematic crystals and studied perturbations of the integrable PDE. For cellular automata with multiple domain structures, the work has included: (1) identification of the associated set of conserved quantities for each type of domain; (2) use of the conserved quantities to construct isomorphism between the nonlinear system and a linear template; and (3) use of exact solvability methods to characterize detailed structure of equilibrium states and to derive bounds for maximal transience times.

Physical Description

6 p.

Notes

OSTI as DE96012859

Source

  • Other Information: PBD: [1996]

Language

Item Type

Identifier

Unique identifying numbers for this report in the Digital Library or other systems.

  • Other: DE96012859
  • Report No.: LA-UR--96-1884
  • Grant Number: W-7405-ENG-36
  • DOI: 10.2172/257451 | External Link
  • Office of Scientific & Technical Information Report Number: 257451
  • Archival Resource Key: ark:/67531/metadc665750

Collections

This report is part of the following collection of related materials.

Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

What responsibilities do I have when using this report?

When

Dates and time periods associated with this report.

Creation Date

  • July 1, 1996

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

Description Last Updated

  • March 1, 2016, 2:31 p.m.

Usage Statistics

When was this report last used?

Yesterday: 0
Past 30 days: 3
Total Uses: 11

Interact With This Report

Here are some suggestions for what to do next.

Start Reading

PDF Version Also Available for Download.

Citations, Rights, Re-Use

Jen, E.; Alber, M.; Camassa, R.; Choi, W.; Crutchfield, J.; Holm, D. et al. Applied mathematics of chaotic systems, report, July 1, 1996; New Mexico. (digital.library.unt.edu/ark:/67531/metadc665750/: accessed October 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.