Invariant tori of the Poincare return map as solutions of functional difference equations

Conference · Tue Jan 01 00:00:00 EST 1991

OSTI ID:6295523

Warnock, R L

Functional difference equations characterize the invariant surfaces of the Poincare return map of a general Hamiltonian system. Two different functional equations are derived. The first is analogous to the Hamilton-Jacobi equation and the second is a generalization of Moser's equation. Some properties of the equations, and schemes for solving them numerically, are discussed. 7 refs., 1 fig.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (USA)
• Sponsoring Organization: DOE/ER
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 6295523
• Report Number(s): SLAC-PUB-5412; CONF-9010270-2; ON: DE91007423; TRN: 91-004678
• Resource Relation: Conference: U.S.-Japan workshop on nonlinear dynamics and acceleration mechanisms, Tsukuba (Japan), 22-25 Oct 1990
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HAMILTON-JACOBI EQUATIONS
NUMERICAL SOLUTION
TORI
BEAM DYNAMICS
DIFFERENTIAL EQUATIONS
FUNCTIONAL ANALYSIS
MAPS
ORBITS
POINCARE GROUPS
EQUATIONS
LIE GROUPS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY GROUPS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
990200 - Mathematics & Computers