“Cognitive” modes in small networks of almost identical chemical oscillators with pulsatile inhibitory coupling

2019 ◽  
Vol 29 (3) ◽  
pp. 033106 ◽  
Author(s):  
Vladimir K. Vanag
Author(s):  
Jacob Gold ◽  
Adam Wang ◽  
Camille Girabawe ◽  
Kyle Harrington ◽  
Seth Fraden

2016 ◽  
Vol 18 (7) ◽  
pp. 5509-5520 ◽  
Author(s):  
Vladimir K. Vanag ◽  
Pavel S. Smelov ◽  
Vladimir V. Klinshov

The dynamics of four almost identical pulse coupled chemical oscillators with time delay are systematically studied.


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.


2021 ◽  
Vol 146 ◽  
pp. 110812
Author(s):  
Andrey V. Andreev ◽  
Vladimir A. Maksimenko ◽  
Alexander N. Pisarchik ◽  
Alexander E. Hramov

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

2008 ◽  
Vol 47 (40) ◽  
pp. 7753-7755 ◽  
Author(s):  
Masahiro Toiya ◽  
Vladimir K. Vanag ◽  
Irving R. Epstein

1991 ◽  
Vol 3 (1) ◽  
pp. 44-53 ◽  
Author(s):  
Sidney R. Lehky ◽  
Randolph Blake

It is proposed that inputs to binocular cells are gated by reciprocal inhibition between neurons located either in the lateral geniculate nucleus or in layer 4 of striate cortex. The strength of inhibitory coupling in the gating circuitry is modulated by layer 6 neurons, which are the outputs of binocular matching circuitry. If binocular inputs are matched, the inhibition is modulated to be weak, leading to fused vision, whereas if the binocular inputs are unmatched, inhibition is modulated to be strong, leading to rivalrous oscillations. These proposals are buttressed by psychophysical experiments measuring the strength of adaptational aftereffects following exposure to an adapting stimulus visible only intermittently during binocular rivalry.


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