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Chemical Oscillations, Waves, and Turbulence

Chemical Oscillations, Waves, and Turbulence

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作者: Y. Kuramoto

出版社: Dover Publications

出版时间: 2003-08

版次: 1

ISBN: 9780486428819

定价: 152.00

装帧: 平装

开本: 32开

纸张: 胶版纸

页数: 176页

字数: 200千字

分类: 教材教辅考试>教材>大学教材>工程技术

This highly respected, frequently cited book addresses two exciting fields: pattern formation and synchronization of oscillators. It systematically develops the dynamics of many-oscillator systems of dissipative type, with special emphasis on oscillating reaction-diffusion systems. The author applies the reductive perturbation method and the phase de*ion method to the onset of collective rhythms, the formation of wave patterns, and diffusion-induced chemical turbulence.
  This two-part treatment starts with a section on methods, defining and exploring the reductive perturbation method — oscillators versus fields of oscillators, the Stuart-Landau equation, onset of oscillations in distributed systems, and the Ginzburg-Landau equations. It further examines methods of phase de*ion, including systems of weakly coupled oscillators, one-oscillator problems, nonlinear phase diffusion equations, and representation by the Floquet eigenvectors.
  Additional methods include systematic perturbation expansion, generalization of the nonlinear phase diffusion equation, and the dynamics of both slowly varying wavefronts and slowly phase-modulated periodic waves. The second part illustrates applications, from mutual entrainment to chemical waves and chemical turbulence. The text concludes with a pair of convenient appendixes.
内容简介:
This highly respected, frequently cited book addresses two exciting fields: pattern formation and synchronization of oscillators. It systematically develops the dynamics of many-oscillator systems of dissipative type, with special emphasis on oscillating reaction-diffusion systems. The author applies the reductive perturbation method and the phase de*ion method to the onset of collective rhythms, the formation of wave patterns, and diffusion-induced chemical turbulence.
  This two-part treatment starts with a section on methods, defining and exploring the reductive perturbation method — oscillators versus fields of oscillators, the Stuart-Landau equation, onset of oscillations in distributed systems, and the Ginzburg-Landau equations. It further examines methods of phase de*ion, including systems of weakly coupled oscillators, one-oscillator problems, nonlinear phase diffusion equations, and representation by the Floquet eigenvectors.
  Additional methods include systematic perturbation expansion, generalization of the nonlinear phase diffusion equation, and the dynamics of both slowly varying wavefronts and slowly phase-modulated periodic waves. The second part illustrates applications, from mutual entrainment to chemical waves and chemical turbulence. The text concludes with a pair of convenient appendixes.

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