Dynamics and Routes to Chaos from Quasiperiodicity,
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1987
- Accession Number
- ADP005796
Entities
People
- M. Dubois
Organizations
- AGARD