Chemical Oscillations Waves and Turbulence

<p>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 description method to the onset of collective rhythms the formation of wave patterns and diffusion-induced chemical turbulence.<br>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 description including systems of weakly coupled oscillators one-oscillator problems nonlinear phase diffusion equations and representation by the Floquet eigenvectors.<br>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.</p>