Gaussian elimination methods for calculating classical periodic trajectories in two dimensions

Technical Report · Thu Aug 01 00:00:00 EDT 1991

DOI:https://doi.org/10.2172/5448694· OSTI ID:5448694

Davies, K. T.R.

A Gaussian-elimination method for calculating classical periodic trajectories is formulated for a two-dimensional system. Two variants of the theory are obtained, one assuming that the period of the motion is fixed and the other assuming that the total energy is fixed. Comparisons are made between various approaches. 14 refs.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 5448694
• Report Number(s): ORNL/TM-11902; ON: DE91017600
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
EQUATIONS OF MOTION
ITERATIVE METHODS
TRAJECTORIES
BOUNDARY CONDITIONS
HAMILTONIANS
NUMERICAL SOLUTION
OSCILLATIONS
TWO-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
990200 - Mathematics & Computers