A fundamental and frequently cited book in two very exciting fields: pattern formation and synchronization of oscillators. Provides asymptotic methods that can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems. Graduate level. 40 figures.
A fundamental and frequently cited book in two very exciting fields: pattern formation and synchronization of oscillators. Provides asymptotic methods that can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems. Graduate level. 40 figures.
1.- I Methods.- 2. Reductive Perturbation Method.- 3. Method of Phase Description I.- 4. Method of Phase Description II.- II Applications.- 5. Mutual Entrainment.- 6. Chemical Waves.- 7. Chemical Turbulence.- A. Plane Wave Solutions of the Ginzburg-Landau Equation.- B. The Hopf Bifurcation for the Brusselator.- References.
1.- I Methods.- 2. Reductive Perturbation Method.- 3. Method of Phase Description I.- 4. Method of Phase Description II.- II Applications.- 5. Mutual Entrainment.- 6. Chemical Waves.- 7. Chemical Turbulence.- A. Plane Wave Solutions of the Ginzburg-Landau Equation.- B. The Hopf Bifurcation for the Brusselator.- References.
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