Stochastic chaos: An analog of quantum chaos

Conference · Tue Aug 10 00:00:00 EDT 1993 · AIP Conference Proceedings (American Institute of Physics); (United States)

OSTI ID:5266532

Millonas, M M ^[1]

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1. Complex Systems Group, Theoretical Division and Center for Nonlinear Studies, MS B258 Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States) Santa Fe Institute, Santa Fe (New Mexico United States)

Some intriguing connections between the properties of nonlinear noise driven systems and the nonlinear dynamics of a particular set of Hamilton's equation are discussed. A large class of Fokker-Planck Equations, like the Schroedinger equation, can exhibit a transition in their spectral statistics as a coupling parameter is varied. This transition is connected to the transition to non-integrability in the Hamilton's equations.

• OSTI ID: 5266532
• Report Number(s): CONF-930866--
• Journal Information: AIP Conference Proceedings (American Institute of Physics); (United States), Journal Name: AIP Conference Proceedings (American Institute of Physics); (United States) Vol. 285:1; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
DIFFUSION
EQUATIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
HAMILTONIAN FUNCTION
NOISE
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
STOCHASTIC PROCESSES