Accession Number : ADP005796

Title :   Dynamics and Routes to Chaos from Quasiperiodicity,

Corporate Author : ADVISORY GROUP FOR AEROSPACE RESEARCH AND DEVELOPMENT NEUILLY-SUR-SEINE (FRAN CE)

Personal Author(s) : Dubois, M.

Report Date : AUG 1987

Pagination or Media Count : 17

Abstract : One of the routes leading to deterministic chaos is the route through quasiperiodicity; the simplest one involves the presence of two oscillators, whose dynamics may become chaotic by the increase of the amount of the non-linearities between them. Though this dynamics is generally related to non-linear dynamical systems, it may be found in hydrodynamical flows, as soon as the increase of a control parameter (Reynolds number, Rayleigh number, etc...) initiates the appearance of periodic behaviors. In this report, the physical examples are taken from Rayleigh-Benard experiments, which provide good illustrations of quasiperiodic behaviors in dissipative systems. Topics include: Quasiperiodicity in Rayleigh-Benard convection; Quasiperiodic models; Dynamical properties near the critical line -- Phase intermittencies, Direct route from quasiperiodicity to chaos, and Two oscillators evolution in a free Rayleigh-Benard experiment; and Dynamics inside the phase locked tongues.

Descriptors :   *CONVECTION, *TURBULENCE, OSCILLATORS, COUPLING(INTERACTION), MATHEMATICAL MODELS, DISSIPATION, STABILITY, PHASE LOCKED SYSTEMS, PERIODIC VARIATIONS, FRANCE.

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE