Accession Number:

ADA207724

Title:

Theoretical Investigations of Chaotic Dynamics

Descriptive Note:

Final rept. 1 Dec 1986-30 Nov 1988

Corporate Author:

MARYLAND UNIV COLLEGE PARK

Personal Author(s):

Report Date:

1988-11-30

Pagination or Media Count:

6.0

Abstract:

Ten papers have been published Pseudo-orbit shadowing in the family of tent maps Is every approximate trajectory of some process near an exact trajectory of a nearby process Noise reduction in dynamical systems Using dynamic embedding methods to analyze experimental data Period halving for x sub H1 MF sub N where F has negative Schwarzian derivative Numerical orbits of chaotic processes represent true orbits A procedure for finding numerical trajectories on chaotic saddles Antimonotonicity Concurrent creation and annihilation of periodic orbits Accessible saddles on fractal basin boundaries. Analysis of a procedure for finding numerical trajectories close to chaotic saddle hyperbolic sets.

Descriptors:

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE