Chaos-order-chaos transitions in a two-dimensional Hamiltonian system

Journal Article · Mon Oct 07 04:00:00 EDT 1985 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.55.1539· OSTI ID:5142359

Deng, Z; Hioe, F T

We present a new result which shows the transitions from chaos to order and again to chaos as the coupling parameter between two nonlinearly coupled oscillators of a Hamiltonian system is varied continuously from -infinity to +infinity. By exploiting the symmetry of the system, we also show that there is no general correspondence between the classical chaotic motion and the Gaussian-orthogonal-ensemble distribution of the energy-level fluctuation of the corresponding quantum system.

• Research Organization: Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
• DOE Contract Number: FG02-84ER13243
• OSTI ID: 5142359
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 55:15; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COUPLING
ELECTRONIC EQUIPMENT
ENERGY LEVELS
EQUIPMENT
FLUCTUATIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
MECHANICS
NONLINEAR PROBLEMS
ORDER-DISORDER TRANSFORMATIONS
OSCILLATORS
PHASE TRANSFORMATIONS
QUANTUM MECHANICS
QUANTUM OPERATORS
TWO-DIMENSIONAL CALCULATIONS
VARIATIONS