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Pattern Formations and Oscillatory Phenomena
By:Shuichi Kinoshita
Published on 2013-05-09 by Elsevier Inc. Chapters

We present examples of familiar phenomena found in nonequilibrium systems, including oscillatory phenomena, order-formation processes, and pattern formation. In particular, we introduce commonly used mathematical methods to analyze their characteristics. First, we present oscillations described by the Lotka–Volterra and van der Pol equations, the Brusselator, the Oregonator, and relaxation oscillations as examples of oscillatory phenomena. Second, we investigate the order-formation process in colloidal crystals and present an experimental observation of 2D array formation. Third, we demonstrate pattern formation in crystals on the basis of the Mullins–Sekerka instability, and in chemical and biological systems on the basis of the Turing instability. In particular, we describe the optical properties and development of sophisticated structural patterns that directly interact with light. Finally, we briefly describe a theoretical phase-transition analogy that might clarify the concept of order formation in nonequilibrium systems.

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Book ID of Pattern Formations and Oscillatory Phenomena's Books is EBp1DAAAQBAJ, Book which was written byShuichi Kinoshitahave ETAG "YV8Ufeia7Cw"

Book which was published by Elsevier Inc. Chapters since 2013-05-09 have ISBNs, ISBN 13 Code is 9780128061565 and ISBN 10 Code is 0128061561

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