Pattern Formations and Oscillatory Phenomena

Pattern Formations and Oscillatory Phenomena
Author: Shuichi Kinoshita
Publisher: Elsevier Inc. Chapters
Total Pages: 75
Release: 2013-05-09
Genre: Medical
ISBN: 0128061561


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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.


Pattern Formations and Oscillatory Phenomena
Language: en
Pages: 274
Authors: Shuichi Kinoshita
Categories: Science
Type: BOOK - Published: 2013-05-09 - Publisher: Newnes

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Patterns and their formations appear throughout nature, and are studied to analyze different problems in science and make predictions across a wide range of dis
Pattern Formations and Oscillatory Phenomena
Language: en
Pages: 50
Authors: Hiroyuki Kitahata
Categories: Medical
Type: BOOK - Published: 2013-05-09 - Publisher: Elsevier Inc. Chapters

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In this chapter, we consider the motion of a droplet and the surrounding flow accompanied by the motion. Our specific attention is on the spontaneous and autono
Pattern Formations and Oscillatory Phenomena
Language: en
Pages: 65
Authors: Takeshi Kano
Categories: Medical
Type: BOOK - Published: 2013-05-09 - Publisher: Elsevier Inc. Chapters

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Systems exhibiting spontaneous regular rhythms abound in nature, and several that are characterized by more than two different time scales are known as relaxati
Pattern Formations and Oscillatory Phenomena
Language: en
Pages: 69
Authors: Shinya Yoshioka
Categories: Medical
Type: BOOK - Published: 2013-05-09 - Publisher: Elsevier Inc. Chapters

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Some bird and insect species exhibit iridescent colors that originate from submicron microstructures. One example is a periodic stack of thin layers that select
Pattern Formations and Oscillatory Phenomena
Language: en
Pages: 34
Authors: Jun Miyazaki
Categories: Medical
Type: BOOK - Published: 2013-05-09 - Publisher: Elsevier Inc. Chapters

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In this chapter, temporal and spatial patterns observed in the Belousov–Zhabotinsky (BZ) reaction are described, which is a typical nonlinear chemical reactio