Titlebook: Spatio-Temporal Pattern Formation; With Examples from P Daniel Walgraef Textbook 1997 Springer Science+Business Media New York 1997 deforma

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The Hopf Bifurcation and Related Spatio-Temporal Patterns,l set-ups, boundary or geometrical effects, and so forth. Hence, it is interesting to discuss both aspects with the simplest description of oscillatory media close to a supercritical Hopf bifurcation, namely the complex Ginzburg-Landau equation.

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The Turing Instability and Associated Spatial Structures, systems, and this pattern formation mechanism was proposed by A. Turing as early as 1952 [6.1]. Since then, various kinetic models have been dedicated to the justification of this hypothesis and to the existence of pattern-forming instabilities in these systems [6.2]. Theoretical analysis has shown

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The Effect of External Fields,mple, the forcing of a large variety of nonlinear oscillators, from the pendulum to Van der Pol or Duffing oscillators, has led to detailed studies of the different temporal behaviors that were obtained. It has been shown that the resonant couplings between the forcing and the oscillatory modes may

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