Recurrence quantification analysis of spatio-temporal chaotic transient in a closed unstirred Belousov–Zhabotinsky reaction

Masia, Marco; Bastianoni, Simone; Rustici, Mauro

doi:10.1039/b105833a

Cited by 14 publications

(11 citation statements)

References 26 publications

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“…In fact, as an excitable system, BZ reaction can support pulses, fronts and waves propagation, pacemakers and spirals being the most common structures observed. 10 Nevertheless, in recent years chaotic dynamics were detected when the BZ reaction was performed in unstirred spectrophotometric cuvettes, both in cerium 11,12 and ferroin 13 catalyzed systems. Fig.…”

Section: Introductionmentioning

confidence: 99%

Role of the reagents consumption in the chaotic dynamics of the Belousov–Zhabotinsky oscillator in closed unstirred reactors

Marchettini

Budroni

Rossi

et al. 2010

Phys. Chem. Chem. Phys.

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Chemical oscillations generated by the Belousov-Zhabotinsky reaction in batch unstirred reactors, show a characteristic chaotic transient in their dynamical regime, which is generally found between two periodic regions. Chemical chaos starts and finishes by following a direct and an inverse Ruelle-Takens-Newhouse scenario, respectively. In previous works we showed, both experimentally and theoretically, that the complex oscillations are generated by the coupling among the nonlinear kinetics and the transport phenomena, the latter due to concentration and density gradients. In particular, convection was found to play a fundamental role. In this paper, we develop a reaction-diffusion-convection model to explore the influence of the reagents consumption (BrO in particular) in the inverse transition from chaos to periodicity. We demonstrated that, on the route towards thermodynamic equilibrium, the reagents concentration directly modulates the strength of the coupling between chemical kinetics and mass transport phenomena. An effective sequential decoupling (reaction-diffusion-convection --> reaction-diffusion --> reaction) takes place upon the reagents consumption and this is at the basis of the transition from chaos to periodicity.

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Section: Introductionmentioning

confidence: 99%

Role of the reagents consumption in the chaotic dynamics of the Belousov–Zhabotinsky oscillator in closed unstirred reactors

Marchettini

Budroni

Rossi

et al. 2010

Phys. Chem. Chem. Phys.

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“…1,3,4 Moreover, transient chaotic oscillations are observed in the BZ oscillating chemical reaction in a stirred batch reactor experimentally and numerically. [5][6][7][8][9][10] An unstirred closed BZ system during the normal chemical evolution before reaching equilibrium spontaneously shows the following sequence of dynamic behavior: period-1 f quasiperiodicity f chaos f quasiperiodicity f period-1. Two transition scenarios, that is, at the onset of chaos and at its end, are observed.…”

Section: Introductionmentioning

confidence: 99%

Role of the Reactor Geometry in the Onset of Transient Chaos in an Unstirred Belousov−Zhabotinsky System

et al. 2003

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The dynamics of the Ce(IV)-catalyzed Belousov-Zhabotinsky (BZ) system has been spectrophotometrically monitored at 20.0°C in unstirred batch conditions by using cuvettes with different geometry. The cuvette path length has been varied from 1 to 0.02 cm. The experimental results have shown that when the cuvette path length is in the range 1-0.05 cm the BZ system exhibits a chaotic behavior while below the critical value of 0.05 cm the dynamics of the BZ system is periodic. These trends have been ascribed to the elimination of the convective effect below a critical threshold and unambiguously demonstrate that convection is a bifurcation parameter for the route to chaos.

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“…The length of the induction period decreases and the frequency of oscillations increases with increasing temperature [152,169]. It has recently been suggested that temperature may play an important part in the dynamics of the system [170]. The effect of temperature gradients on pattern formation is discussed in Section 5·6·3.…”

Section: ·7 the Effect Of Heat On The Bz Reactionmentioning

confidence: 99%

Mechanism and Phenomenology of an Oscillating Chemical Reaction

Taylor

2002

Progress in Reaction Kinetics and Mechanism

120

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Chemical reactions, which are far from equilibrium, are capable of displaying oscillations in species concentrations and hence in colour, electrode potential, pH and/or temperature. The oscillations arise from the interplay between positive and negative kinetic feedback. Mechanisms for such reactions are presented, along with the rich phenomenology that these systems exhibit, from complex oscillations and chemical waves, to stationary concentration patterns. This review will focus on the Belousov-Zhabotinksy reaction but reference to other reactions will be made where appropriate.

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Recurrence quantification analysis of spatio-temporal chaotic transient in a closed unstirred Belousov–Zhabotinsky reaction

Cited by 14 publications

References 26 publications

Role of the reagents consumption in the chaotic dynamics of the Belousov–Zhabotinsky oscillator in closed unstirred reactors

Role of the reagents consumption in the chaotic dynamics of the Belousov–Zhabotinsky oscillator in closed unstirred reactors

Role of the Reactor Geometry in the Onset of Transient Chaos in an Unstirred Belousov−Zhabotinsky System

Mechanism and Phenomenology of an Oscillating Chemical Reaction

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