Mixed-mode oscillations and chaos in return maps of an oscillatory chemical reaction

The return maps, as an element of mathematical phenomenology appropriate for general examinations of complex dynamic states of the oscillatory systems were used to detect and explain the evolution of mixed-mode oscillations and chaos in a six-dimensional nonlinear reaction system of the Bray–Liebhaf...

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Published in:Russian Journal of Physical Chemistry A 2015-12, Vol.89 (13), p.2349-2358
Main Authors: Blagojević, S. N., Čupić, Ž., Ivanović-Šašić, A., Kolar-Anić, Lj
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Language:English
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Chemical Kinetics and Catalysis
Chemistry
Chemistry and Materials Science
Physical Chemistry
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description The return maps, as an element of mathematical phenomenology appropriate for general examinations of complex dynamic states of the oscillatory systems were used to detect and explain the evolution of mixed-mode oscillations and chaos in a six-dimensional nonlinear reaction system of the Bray–Liebhafsky (BL) reaction, a well-studied nonlinear chemical reaction system that exhibits complex dynamic behavior. For this purpose principally different Poincaré sections were applied and different transition scenarios between periodic and aperiodic states were examined by numerical simulations. It is shown that emergence of new periodic patterns can be detected by return maps already within chaotic windows. Besides, we also show that the higher dimensionality of manifold gives the impression of having several layers of manifolds.
doi_str_mv 10.1134/S0036024415130063
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subjects Chemical Kinetics and Catalysis
Chemistry
Chemistry and Materials Science
Physical Chemistry
title Mixed-mode oscillations and chaos in return maps of an oscillatory chemical reaction
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