Analytic structure and integrability of dynamical systems

Conference · Fri Jan 01 00:00:00 EST 1982 · Int. J. Quant. Chem., Symp.; (United States)

OSTI ID:5690326

Tabor, M

The solutions to the equations of motion of certain dynamical systems are investigated as a function of complex time. The use of the Painleve property, i.e., the property that the only movable singularities exhibited by the solution are poles, enables a prediction of system parameter values for which the system is integrable. The method is illustrated by a study of the Henon-Heiles system. Extension of the analysis to movable branch points reveals at least one more integrable case. Further changes in analytic structure correlate with the onset of widespread chaos. 27 references, 3 figures, 1 table.

• Research Organization: Center for Studies of Nonlinear Dynamics, La Jolla, CA
• OSTI ID: 5690326
• Report Number(s): CONF-820330-
• Journal Information: Int. J. Quant. Chem., Symp.; (United States), Vol. 16; Conference: International symposium on quantum chemistry, theory of condensed matter, and propagator methods in the quantum theory of matter, Flagler Beach, FL, USA, 1 Mar 1982
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS OF MOTION
ANALYTICAL SOLUTION
NUMERICAL SOLUTION
DYNAMICS
HAMILTONIAN FUNCTION
INTEGRAL EQUATIONS
MATHEMATICAL MODELS
MATHEMATICS
SINGULARITY
THEORETICAL DATA
DATA
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INFORMATION
MECHANICS
NUMERICAL DATA
PARTIAL DIFFERENTIAL EQUATIONS
657006* - Theoretical Physics- Statistical Physics & Thermodynamics- (-1987)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics