A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

Abstract The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear
equations in the physics community. It describes a vast variety of phenomena from nonlinear …

Sand, rice, sugar, snow, cement... Although ubiquitous in our daily lives, granular media still
challenge engineers and fascinate researchers. This book provides the state-of-the-art of the …

Qu'est-ce que le passé, sinon du présent qui est en retard? Pierre Dac (l'osa moelle, March
1940) Modeling automatic engines or physiological systems often involves the idea of …

From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy
beach or desert dune, regular patterns arise everywhere in nature. The appearance and …

The theory of bifurcation from equilibria based on center-manifold reduction and Poincaré-
Birkhoff normal forms is reviewed at an introductory level. Both differential equations and …

Patterns of an almost periodic nature appear all over the place. One sees them in cloud
streets, in sand ripples on flat beaches, in the morphology of plants and animals, in …

Spherical Couette flow is studied with a view to elucidating the transitions between various
axisymmetric steady‐state flow configurations. A stable, equatorially asymmetric state …

Real-world systems can be strongly influenced by time delays occurring in self-coupling
interactions, due to unavoidable finite signal propagation velocities. When the delays …

The bifurcation diagram for the Eckhaus instability is presented, based on the Ginzburg-
Landau equation in a finite domain with either free-slip or periodic boundary conditions. The …