Dynamical modes of two almost identical chemical oscillators connected via both pulsatile and diffusive coupling

2018 ◽  
Vol 20 (17) ◽  
pp. 11888-11898 ◽  
Author(s):  
Dmitry A. Safonov ◽  
Vladimir K. Vanag
Keyword(s):  
Chemical Oscillators ◽  
Diffusive Coupling

The dynamics of two almost identical chemical oscillators with mixed diffusive and pulsatile coupling are systematically studied.

An Introduction to Nonlinear Chemical Dynamics

1998 ◽  
Author(s):  
Irving R. Epstein ◽  
John A. Pojman
Keyword(s):  
Flow Reactor ◽  
Chemical Dynamics ◽  
Design Data ◽  
Chemical Oscillators ◽  
Starting Point ◽  
Hands On ◽  
Undergraduate Laboratory ◽  
History Of ◽  
Mechanistic Basis ◽  
Nonlinear Chemical Dynamics

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.

scholarly journals Chemical oscillators synchronized via an active oscillating medium: Dynamics and phase approximation model

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

Diffusively Coupled Chemical Oscillators in a Microfluidic Assembly

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

Permanganate Chemical Oscillators with 2-Ketocarboxylic Acids

1991 ◽  
Vol 174 (Part_2) ◽  
pp. 139-144 ◽  
Author(s):  
M. Melicherčík ◽  
M. Mrákavová ◽  
A. Nagy ◽  
A. Olexová ◽  
G. Sodnomdordž ◽  
...  
Keyword(s):  
Chemical Oscillators

scholarly journals Belousov-Zhabotinsky type reactions: the non-linear behavior of chemical systems

2021 ◽  
Author(s):  
Andrea Cassani ◽  
Alessandro Monteverde ◽  
Marco Piumetti
Keyword(s):  
Open Systems ◽  
Deterministic Chaos ◽  
General Information ◽  
Operating Conditions ◽  
Chemical Oscillators ◽  
Chemical Systems ◽  
Linear Behavior ◽  
Oscillatory Reactions ◽  
Non Linear ◽  
Belousov Zhabotinsky Reaction

AbstractChemical oscillators are open systems characterized by periodic variations of some reaction species concentration due to complex physico-chemical phenomena that may cause bistability, rise of limit cycle attractors, birth of spiral waves and Turing patterns and finally deterministic chaos. Specifically, the Belousov-Zhabotinsky reaction is a noteworthy example of non-linear behavior of chemical systems occurring in homogenous media. This reaction can take place in several variants and may offer an overview on chemical oscillators, owing to its simplicity of mathematical handling and several more complex deriving phenomena. This work provides an overview of Belousov-Zhabotinsky-type reactions, focusing on modeling under different operating conditions, from the most simple to the most widely applicable models presented during the years. In particular, the stability of simplified models as a function of bifurcation parameters is studied as causes of several complex behaviors. Rise of waves and fronts is mathematically explained as well as birth and evolution issues of the chaotic ODEs system describing the Györgyi-Field model of the Belousov-Zhabotinsky reaction. This review provides not only the general information about oscillatory reactions, but also provides the mathematical solutions in order to be used in future biochemical reactions and reactor designs.

Novel modes of synchronization in star networks of coupled chemical oscillators

2021 ◽  
Vol 31 (9) ◽  
pp. 093127
Author(s):  
David Mersing ◽  
Shannyn A. Tyler ◽  
Benjamas Ponboonjaroenchai ◽  
Mark R. Tinsley ◽  
Kenneth Showalter
Keyword(s):  
Chemical Oscillators ◽  
Star Networks
Sign in / Sign up

Export Citation Format

Share Document