Complex mixed-mode oscillatory patterns in a periodically forced excitable Belousov-Zhabotinsky reaction model

2015 ◽  
Vol 25 (6) ◽  
pp. 064612 ◽  
Author(s):  
Malena I. Español ◽  
Horacio G. Rotstein
Keyword(s):  
Mixed Mode ◽  
Reaction Model ◽  
Belousov Zhabotinsky Reaction

scholarly journals Complexity of a Peroxidase-Oxidase Reaction Model

2021 ◽  
Author(s):  
Jason Gallas ◽  
Marcus Hauser ◽  
Lars Folke Olsen
Keyword(s):  
Chemical Reaction ◽  
Mixed Mode ◽  
Period Doubling ◽  
Reaction Model ◽  
Chaotic Behaviour ◽  
Mixed Mode Oscillations ◽  
Oscillating Reaction ◽  
Oxidase Reaction

The peroxidase-oxidase oscillating reaction was the first (bio)chemical reaction to show chaotic behaviour. The reaction is rich in bifurcation scenarios, from period-doubling to peak-adding mixed mode oscillations. Here, we study...

New chaotic behavior and its effective control in Belousov–Zhabotinsky reaction

2001 ◽  
Vol 79 (1) ◽  
pp. 29-34
Author(s):  
Yan-Ni Li ◽  
Hao Song ◽  
Zun-Sheng Cai ◽  
Lan Chen ◽  
Zhe Hou ◽  
...  
Keyword(s):  
Continuous Flow ◽  
Mixed Mode ◽  
Chaos Control ◽  
Chaotic Behavior ◽  
Stirred Tank ◽  
Effective Control ◽  
Control Methods ◽  
Bz Reaction ◽  
Tank Reactor ◽  
Belousov Zhabotinsky Reaction

A new "spiral-in-to-spiral-out" mixed-mode type chaos of the Belousov–Zhabotinsky (BZ) reaction in a continuous flow stirred tank reactor (CSTR) is observed. We discussed its evolution and characterization in detail. We controlled the new chaos into steady periodic behavior by two control methods: (i) a self-adaptive delayed feedback controlling scheme; and (ii) a linear self-interacting feedback controlling scheme.Key words: BZ-CSTR reaction, chaos, control.

Bifurcation Analysis of a Belousov–Zhabotinsky Reaction Model

2015 ◽  
Vol 25 (06) ◽  
pp. 1550093 ◽  
Author(s):  
Xiaoli Wang ◽  
Yu Chang ◽  
Dashun Xu
Keyword(s):  
Hopf Bifurcation ◽  
Periodic Solutions ◽  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Period Doubling ◽  
Reaction Model ◽  
Bifurcation Phenomena ◽  
Route To Chaos ◽  
The Stability ◽  
Belousov Zhabotinsky Reaction

We investigate the bifurcation phenomena in a Belousov–Zhabotinsky reaction model by applying Hopf bifurcation theory in frequency domain and harmonic balance method. The high accurate predictions, i.e. fourth-order harmonic balance approximation, on frequencies, amplitudes, and approximation expressions for periodic solutions emerging from Hopf bifurcation are provided. We also detect the stability and location of these periodic solutions. Numerical simulations not only confirm the theoretical analysis results but also illustrate some complex oscillations such as a cascade of period-doubling bifurcation, quasi-periodic solution, and period-doubling route to chaos. All these results improve the understanding of the dynamics of the model.

Chirality observed in a driven ruthenium-catalyzed Belousov-Zhabotinsky reaction model

2021 ◽  
Author(s):  
Jason Gallas
Keyword(s):  
Reaction Model ◽  
Sharp Contrast ◽  
Spatial Geometry ◽  
Spin Properties ◽  
Living Organisms ◽  
Belousov Zhabotinsky Reaction

Chirality is commonly associated with the spatial geometry of the atoms composing molecules, the biochemistry of living organisms, and spin properties. In sharp contrast, here we report chirality found in...

Quint points lattice in a driven Belousov–Zhabotinsky reaction model

2021 ◽  
Vol 31 (5) ◽  
pp. 053124
Author(s):  
Richard J. Field ◽  
Joana G. Freire ◽  
Jason A. C. Gallas
Keyword(s):  
Reaction Model ◽  
Belousov Zhabotinsky Reaction

“To Corrupt a Man in the Midst of a Verse”: Ben Jonson and the Prose of the World

2017 ◽  
Vol 24 (1) ◽  
pp. 46-72
Author(s):  
Jacob Tootalian
Keyword(s):  
Mixed Mode ◽  
Ben Jonson ◽  
Digital Analysis ◽  
Interactive Engagement ◽  
Sentence Level ◽  
Linguistic Patterns ◽  
The World ◽  
Selection Of ◽  
Bartholomew Fair

Ben Jonson's early plays show a marked interest in prose as a counterpoint to the blank verse norm of the Renaissance stage. This essay presents a digital analysis of Jonson's early mixed-mode plays and his two later full-prose comedies. It examines this selection of the Jonsonian corpus using DocuScope, a piece of software that catalogs sentence-level features of texts according to a series of rhetorical categories, highlighting the distinctive linguistic patterns associated with Jonson's verse and prose. Verse tends to employ abstract, morally and emotionally charged language, while prose is more often characterized by expressions that are socially explicit, interrogative, and interactive. In the satirical economy of these plays, Jonson's characters usually adopt verse when they articulate censorious judgements, descending into prose when they wade into the intractable banter of the vicious world. Surprisingly, the prosaic signature that Jonson fashioned in his earlier drama persisted in the two later full-prose comedies. The essay presents readings of Every Man Out of his Humour and Bartholomew Fair, illustrating how the tension between verse and prose that motivated the satirical dynamics of the mixed-mode plays was released in the full-prose comedies. Jonson's final experiments with theatrical prose dramatize the exhaustion of the satirical impulse by submerging his characters almost entirely in the prosaic world of interactive engagement.

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