Title: Towards Analytical Chaotic Evolutions in Brusselators (Synthesis Lectures on Materials and Optics)
Publisher: Morgan & Claypool Publishers
Publication Date: 2020
Language: English
ISBN 10: 1681738260
ISBN 13: 9781681738260
Binding: hardcover
Condition: Very Good

About this title

Synopsis

The Brusselator is a mathematical model for autocatalytic reaction, which was proposed by Ilya Prigogine and his collaborators at the Universit� Libre de Bruxelles. The dynamics of the Brusselator gives an oscillating reaction mechanism for an autocatalytic, oscillating chemical reaction. The Brusselator is a slow-fast oscillating chemical reaction system. The traditional analytical methods cannot provide analytical solutions of such slow-fast oscillating reaction, and numerical simulations cannot provide a full picture of periodic evolutions in the Brusselator. In this book, the generalized harmonic balance methods are employed for analytical solutions of periodic evolutions of the Brusselator with a harmonic diffusion. The bifurcation tree of period-1 motion to chaos of the Brusselator is presented through frequency-amplitude characteristics, which be measured in frequency domains. Two main results presented in this book are:

• analytical routes of periodical evolutions to chaos and

• independent period-(2

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