Turing instability in nonlinear chemical oscillators coupled via an active medium

2020 ◽  
Vol 133 ◽  
pp. 109603
Author(s):  
Mariamo Mussa Juane ◽  
David García-Selfa ◽  
Alberto P. Muñuzuri
1990 ◽  
Vol 51 (C2) ◽  
pp. C2-903-C2-906
Author(s):  
M. A. SARBU ◽  
M. I. PISO
Keyword(s):  

2020 ◽  
Vol 46 (11) ◽  
pp. 1114-1123
Author(s):  
N. P. Vagin ◽  
A. A. Ionin ◽  
A. Yu. Kozlov ◽  
I. V. Kochetov ◽  
A. P. Napartovich ◽  
...  

Author(s):  
Irving R. Epstein ◽  
John A. Pojman

Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.


1996 ◽  
Author(s):  
Michail G. Galushkin ◽  
Vladimir S. Golubev ◽  
V. V. Dembovetsky ◽  
Yuri N. Zavalov ◽  
Valentina Y. Zavalova

2021 ◽  
Vol 3 (3) ◽  
Author(s):  
Satish Kumar Tiwari ◽  
Ravikant Singh ◽  
Nilesh Kumar Thakur

AbstractWe propose a model for tropic interaction among the infochemical-producing phytoplankton and non-info chemical-producing phytoplankton and microzooplankton. Volatile information-conveying chemicals (infochemicals) released by phytoplankton play an important role in the food webs of marine ecosystems. Microzooplankton is an ecologically important grazer of phytoplankton for coexistence of a large number of phytoplankton species. Here, we discuss how information transferred by dimethyl sulfide shapes the interaction of phytoplankton. Phytoplankton deterrents may lead to propagation of IPP bloom. The interaction between IPP and microzooplankton follows the Beddington–DeAngelis-type functional response. Analytically, we discuss boundedness, stability and Turing instability of the model system. We perform numerical simulation for temporal (ODE model) as well as a spatial model system. Our numerical investigation shows that microzooplankton grazing refuse of IPP leads to oscillatory dynamics. Increasing diffusion coefficient of microzooplankton shows Turing instability. Time evolution also plays an important role in the stability of system dynamics. The results obtained in this paper are useful to understand the dominance of algal bloom in coastal and estuarine ecosystem.


2021 ◽  
Vol 171 ◽  
pp. 109649
Author(s):  
Igor V. Shamanin ◽  
Mishik A. Kazaryan ◽  
Sergey V. Bedenko ◽  
Vladimir V. Knyshev ◽  
Vitaly I. Shamanin
Keyword(s):  

2021 ◽  
Vol 145 ◽  
pp. 110809
Author(s):  
David García-Selfa ◽  
Gourab Ghoshal ◽  
Christian Bick ◽  
Juan Pérez-Mercader ◽  
Alberto P. Muñuzuri

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