Skip to Main content Skip to Navigation
Journal articles

Secondary instability mode of a roll pattern and transition to spatiotemporal chaos in the Taylor-Dean system

Abstract : The secondary instability mode and transition to a weak chaotic regime in a one-dimensional roll pattern have been investigated in the Taylor-Dean system. The spatiotemporal modulation of a roll pattern, called a triplet state in Phys. Rev. Lett. 64, 1729 1990, is quantitatively characterized using the demodulation technique by the Hilbert transform. A triplet pattern arises from the primary structure by a periodic modulation of the phase both in space and time. The amplitude of the modulation, chosen as an order parameter, has been measured, and it grows as a square root of the reduced control parameter. The correlation length and time of the triplet pattern are maximal near the threshold, and decrease to values comparable to the size and period of a triplet in the chaotic regime. In the chaotic regime, regular oscillations of triplets are observed with a finite frequency, suggesting a phase modulation of the triplet pattern itself. S1063-651X9802209-0
Complete list of metadata

Cited literature [4 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01582607
Contributor : Patrick Bot Connect in order to contact the contributor
Submitted on : Thursday, September 7, 2017 - 11:59:33 AM
Last modification on : Tuesday, May 11, 2021 - 9:54:30 AM

File

Bot_2nd_instability_chaos_TDsy...
Publisher files allowed on an open archive

This journal is ROMEO Green

Identifiers

Citation

Patrick Bot, Olivier Cadot, Innocent Mutabazi. Secondary instability mode of a roll pattern and transition to spatiotemporal chaos in the Taylor-Dean system. Physical Review E , American Physical Society (APS), 1998, 58 (3), pp.3089. ⟨10.1103/PhysRevE.58.3089⟩. ⟨hal-01582607⟩

Share

Metrics

Record views

422

Files downloads

991