Identification of the intermittency-I route to chaos in oscillating CO oxidation on zeolite-supported Pd

Slinko, M. M.; Ukharskii, A. A.; Peskov, N.V.; Jaeger, N. I.

doi:10.1039/b103127a

Cited by 9 publications

(3 citation statements)

References 19 publications

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“…The features such as bifurcation, oscillations, torus, and chaos might be linked to catalytic phenomena, which could be observed experimentally. The authors describe how to handle the data collected from experiments exhibiting nonlinear dynamics by the methods, such as Fourier power spectra, maximum Lyapunov exponent, and Poincare section …”

Section: Resultsmentioning

confidence: 99%

“…Heterogeneous catalytic isothermal reactions can sometimes exhibit exotic nonlinear dynamics, such as multiple steady states, 1,2 sustained oscillations, [3][4][5][6] and chaos. [7][8][9][10] This indicates that instabilities derive from the intricacy of chemistry itself, instead of from thermal effects for nonisothermal systems. Researchers are interested in studying chemical models exhibiting various types of nonlinear dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Numerical study of isothermal heterogeneous catalysis exhibiting multiple steady states, limit cycles, and chaos in a complex reaction network

Luo

Chien

Chiou

et al. 2018

Asia-Pacific J Chem Eng

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We analyze the nonlinear dynamics of an isothermal system involving complex heterogeneous catalytic reactions by numerical simulation. Multiple steady states, limit cycles, torus, and chaos are found, which demonstrate that these nonlinear behaviors are derived from the intricacy of chemistry itself, instead of either thermal or autocatalytic effects. The steady‐state multiplicity is determined by the chemical reaction network toolbox. Starting from one of the steady states, bifurcations are detected via the variation of the system parameters using numerical continuation software. Bifurcations, such as limit points, cusp bifurcations, Hopf bifurcations, zero Hopf bifurcations, limit cycles, and torus are found. Numerical simulations show two routes of transition to chaos due to torus breakdown. One route is due to the loss of torus smoothness. The other is via period‐doubling bifurcations of the limit cycles. Lyapunov exponents are calculated, and positive values are obtained for the chaotic dynamics. Poincare maps and power spectrum densities are also shown to determine the chaotic orbits.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical study of isothermal heterogeneous catalysis exhibiting multiple steady states, limit cycles, and chaos in a complex reaction network

Luo

Chien

Chiou

et al. 2018

Asia-Pacific J Chem Eng

View full text Add to dashboard Cite

show abstract

“…Big excursions were explained by cessation of catalytic activity of the whole catalyst and in small excursions a part of palladium particles stop the oxidation of CO. The big excursions decrease on increasing CO flow and vice versa (Slinko et al, 2001a). The parameter a connected with subsurface oxygen plays an important role in this analysis.…”

Section: Chaos Transitionsmentioning

confidence: 90%

Bursting on Co Oxidation in a Tubular Reactor

Soto

Caballero

Vicente

2009

Chemical Engineering Communications

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In this work we study CO oxidation by numerical simulation; we used the monocrystal STM model (Sales et al., 1982;Slinko et al., 1999) and extended it to scale on a monolithic tubular reactor. The final model is a mixed system with ordinary and partial differential equations. We found that there is periodic behavior at earlier times, but the simulations at long time show bursting, which appeared as a route to chaotic behavior. Our results can be compared indirectly with a continuous flow reactor under isothermal conditions (Ballandis and Plath, 2000).

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A Cellular Automaton Model for the Catalytic Oxidation of CO Including CO Desorption and Diffusion

Morales

Lemos

2017

Understanding Complex Systems

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Identification of the intermittency-I route to chaos in oscillating CO oxidation on zeolite-supported Pd

Cited by 9 publications

References 19 publications

Numerical study of isothermal heterogeneous catalysis exhibiting multiple steady states, limit cycles, and chaos in a complex reaction network

Numerical study of isothermal heterogeneous catalysis exhibiting multiple steady states, limit cycles, and chaos in a complex reaction network

Bursting on Co Oxidation in a Tubular Reactor

A Cellular Automaton Model for the Catalytic Oxidation of CO Including CO Desorption and Diffusion

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