Hydrodynamic Control of Chaos in a Belousov Zhabotinsky Oscillator

The coupling between the nonlinear kinetics and the transport phenomena leads to a complex non-trivial evolution in a closed unstirred Ferroin-catalyzed Belousov Zhabotinsky reaction. An initially periodic phase evolves into a chaotic one following a Ruelle-Takens-Newhouse scenario, which itself evolves back into another periodic phase which lasts until the reaction reaches thermodynamic equilibrium following an inverse Ruelle-Takens-Newhouse scenario [1]. This naturally occurring transition from chaos back to periodicity can be understood in terms of reaction consumption that is taking place in this closed system [2]. It has been shown that the chaotic phase can be controlled by changing the viscosity of the medium [3]. We have discovered that a limited stirring phase is also able to control the chaotic phase. By varying the length of this stirring phase we observe a shortening of the chaotic phase up to its complete disappearance, leading to a purely periodic evolution of the system. We describe this effect here in detail and explain also why such a limited stirring phase is able to hinder the appearance of the normally appearing chaotic transient.

Authors: 
Florian Wodlei and Mihnea R Hristea
Room: 
8
Date: 
Monday, September 24, 2018 - 11:00 to 11:15

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