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-; CODEN: APCPCS
• Journal Information: AIP Conference Proceedings (American Institute of Physics); (United States), Vol. 285:1; Conference: 12. international conference on noise in physical systems and 1/f fluctuations, St. Louis, MO (United States), 16-20 Aug 1993; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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